1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 20...1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title (not exceeding 35 characters) to be used as a running head is also required.If there are more than one author for a paper,the name and the e-mail address of the corresponding author (i.e.the author to be contacted) should be indicated.展开更多
We study the L^(2)-supercritical nonlinear Schrodinger equation(NLS) with a partial confinement,which is the limit case of the cigar-shaped model in Bose-Einstein condensate(BEC). By constructing a cross constrained v...We study the L^(2)-supercritical nonlinear Schrodinger equation(NLS) with a partial confinement,which is the limit case of the cigar-shaped model in Bose-Einstein condensate(BEC). By constructing a cross constrained variational problem and establishing the invariant manifolds of the evolution fow, we show a sharp condition for global existence.展开更多
In this paper,we study the existence of positive solution for the p-Laplacian equations with frac-tional critical nonlinearity{-Δ)_(p)^(s)u+V(x)|u|^(p-2)u=K(x)f(u)+P(x)|u|p_(s)^(*)-^(2)u,x∈R^(N),u∈Ds,p(RN),where s...In this paper,we study the existence of positive solution for the p-Laplacian equations with frac-tional critical nonlinearity{-Δ)_(p)^(s)u+V(x)|u|^(p-2)u=K(x)f(u)+P(x)|u|p_(s)^(*)-^(2)u,x∈R^(N),u∈Ds,p(RN),where s∈(0,1),p_(s)^(*)=Np/N-sp,N>sp,p>1 and V(x),K(x)are positive continuous functions which vanish at infinity,f is a function with a subcritical growth,and P(x)is bounded,nonnegative continuous function.By using variational method in the weighted spaces,we prove the above problem has at least one positive solution.展开更多
In this paper,we present a primal-dual interior point algorithm for semidefinite optimization problems based on a new class of kernel functions.These functions constitute a combination of the classic kernel function a...In this paper,we present a primal-dual interior point algorithm for semidefinite optimization problems based on a new class of kernel functions.These functions constitute a combination of the classic kernel function and a barrier term.We derive the complexity bounds for large and small-update methods respectively.We show that the best result of iteration bounds for large and small-update methods can be achieved,namely O(q√n(log√n)^q+1/q logn/ε)for large-update methods and O(q^3/2(log√q)^q+1/q√nlogn/ε)for small-update methods.We test the efficiency and the validity of our algorithm by running some computational tests,then we compare our numerical results with results obtained by algorithms based on different kernel functions.展开更多
In present note,we apply the Leibniz formula with the nabla operator in discrete fractional calculus(DFC)due to obtain the discrete fractional solutions of a class of associated Bessel equations(ABEs)and a class of as...In present note,we apply the Leibniz formula with the nabla operator in discrete fractional calculus(DFC)due to obtain the discrete fractional solutions of a class of associated Bessel equations(ABEs)and a class of associated Legendre equations(ALEs),respectively.Thus,we exhibit a new solution method for such second order linear ordinary differential equations with singular points.展开更多
The objective of this paper is to study the issue of uniformity on three-level U-type designs in terms of the wrap-around L2-discrepancy.Based on the known formula,we present a new lower bound of wrap-around L2-discre...The objective of this paper is to study the issue of uniformity on three-level U-type designs in terms of the wrap-around L2-discrepancy.Based on the known formula,we present a new lower bound of wrap-around L2-discrepancy for three-level U-type designs and compare it with those existing ones through figures,numerical simulation and illustrative examples.展开更多
A k-tree is a tree with maximum degree at most k. In this paper, we give a sharp degree sum condition for a graph to have a spanning k-tree in which specified vertices have degree less than t, where 1≤t≤k.We denote ...A k-tree is a tree with maximum degree at most k. In this paper, we give a sharp degree sum condition for a graph to have a spanning k-tree in which specified vertices have degree less than t, where 1≤t≤k.We denote by σ_k(G) the minimum value of the degree sum of k independent vertices in a graph G. Let k≥2,s≥0 and 1≤t≤k be integers, and suppose G is an(s + 1)-connected graph with σ_k(G)≥|G|+(k-t)s-1.Then for any s specified vertices, G contains a spanning k-tree in which every specified vertex has degree at most t. This improves a result obtained by Matsuda and Matsumura.展开更多
Zero-utility principle is one of the main premium pricing principles,which has been widely used in insurance practice.In this paper,the nonparametric estimation of zero-utility premium is given.In addition,the consist...Zero-utility principle is one of the main premium pricing principles,which has been widely used in insurance practice.In this paper,the nonparametric estimation of zero-utility premium is given.In addition,the consistency and asymptotic normality of the estimation are proved.Some special cases including linear,exponential and quadratic utility are discussed.Finally,the Monte Carlo method is used to show the convergence rate of premium estimation.Furthermore,the histogram and Normal-Probability-Plot are given to investigate the asymptotic normality of the estimators.The results show that our estimations are good enough to use in practice.展开更多
In this paper, we consider the existence of positive solutions of second-order periodic boundary value problem u′′+ (1/2+ ε)~2*u = λg(t)f(u), t∈[0, 2π], u(0) = u(2π), u′(0) = u′(2π),where 0 <ε <12, g ...In this paper, we consider the existence of positive solutions of second-order periodic boundary value problem u′′+ (1/2+ ε)~2*u = λg(t)f(u), t∈[0, 2π], u(0) = u(2π), u′(0) = u′(2π),where 0 <ε <12, g : [0, 2π]→ R is continuous, f : [0, ∞)→R is continuous and λ > 0 is a parameter.展开更多
Detection of multiple outliers or subset of influential points has been rarely considered in the linear measurement error models. In this paper a new influence statistic for one or a set of observations is generalized...Detection of multiple outliers or subset of influential points has been rarely considered in the linear measurement error models. In this paper a new influence statistic for one or a set of observations is generalized and characterized based on the corrected likelihood in the linear measurement error models. This influence statistic can be expressed in terms of the residuals and the leverages of linear measurement error regression.Unlike Cook's statistic, this new measure of influence has asymptotically normal distribution and is able to detect a subset of high leverage outliers which is not identified by Cook's statistic. As an illustrative example,simulation studies and a real data set are analysed.展开更多
The present paper is devoted to the existence of the random attractor for partly dissipative stochastic lattice dynamical systems with multiplicative white noises.
Hypothesis testing for the parametric component in the partial linear errors-in-variables(EV)regression models is discussed in this paper. Based on the corrected profile least square estimator, five test statistics ar...Hypothesis testing for the parametric component in the partial linear errors-in-variables(EV)regression models is discussed in this paper. Based on the corrected profile least square estimator, five test statistics are proposed and the asymptotic null distributions of them are deduced. Simulations have been done to show the performance of these test statistics under null and alternative hypothesis.展开更多
In this paper,we consider the following quasilinear diferential equation(p(u′))′+λf(t,u)=0subject to one of the two boundary conditions:u(0)=u′(1)=0,u′(0)=u(1)=0.After transforming them into a problem of symmetri...In this paper,we consider the following quasilinear diferential equation(p(u′))′+λf(t,u)=0subject to one of the two boundary conditions:u(0)=u′(1)=0,u′(0)=u(1)=0.After transforming them into a problem of symmetrical solutions,the existence of three solutions of the problem is obtained by using a recent critical point theorem of Recceri.An example is given to demonstrate our main result.展开更多
This paper consider the(BMAP1,BMAP2)/(PH1,PH2)/N retrial queue with finite-position buffer.The behavior of the system is described in terms of continuous time multi-dimensional Markov chain.Arriving type I calls find ...This paper consider the(BMAP1,BMAP2)/(PH1,PH2)/N retrial queue with finite-position buffer.The behavior of the system is described in terms of continuous time multi-dimensional Markov chain.Arriving type I calls find all servers busy and join the buffer,if the positions of the buffer are insuffcient,they can go to orbit.Arriving type II calls find all servers busy and join the orbit directly.Each server can provide two types heterogeneous services with Phase-type(PH)time distribution to every arriving call(including types I and II calls),arriving calls have an option to choose either type of services.The model is quite general enough to cover most of the systems in communication networks.We derive the ergodicity condition,the stationary distribution and the main performance characteristics of the system.The effects of various parameters on the system performance measures are illustrated numerically.展开更多
We consider an M X /G/1 queueing system with two phases of heterogeneous service and Bernoulli vacation schedule which operate under a linear retrial policy. In addition, each individual customer is subject to a contr...We consider an M X /G/1 queueing system with two phases of heterogeneous service and Bernoulli vacation schedule which operate under a linear retrial policy. In addition, each individual customer is subject to a control admission policy upon the arrival. This model generalizes both the classical M/G/1 retrial queue with arrivals in batches and a two phase batch arrival queue with a single vacation under Bernoulli vacation schedule. We will carry out an extensive stationary analysis of the system , including existence of the stationary regime, embedded Markov chain, steady state distribution of the server state and number of customer in the retrial group, stochastic decomposition and calculation of the first moment.展开更多
In many longitudinal studies,observation times as well as censoring times may be correlated with longitudinal responses.This paper considers a multiplicative random effects model for the longitudinal response where th...In many longitudinal studies,observation times as well as censoring times may be correlated with longitudinal responses.This paper considers a multiplicative random effects model for the longitudinal response where these correlations may exist and a joint modeling approach is proposed via a shared latent variable.For inference about regression parameters,estimating equation approaches are developed and asymptotic properties of the proposed estimators are established.The finite sample behavior of the methods is examined through simulation studies and an application to a data set from a bladder cancer study is provided for illustration.展开更多
The paper studies the muiti-agent cooperative hedging problem of contingent claims in the complete market when the g-expected shortfall risks are bounded. We give the optimal cooperative hedging strategy explicitly by...The paper studies the muiti-agent cooperative hedging problem of contingent claims in the complete market when the g-expected shortfall risks are bounded. We give the optimal cooperative hedging strategy explicitly by the Neyman-Pearson lemma under g-probability.展开更多
The main objective of this paper is to present a new rectangular nonconforming finite element scheme with the second order convergence behavior for approximation of Maxwell's equations.Then the corresponding optim...The main objective of this paper is to present a new rectangular nonconforming finite element scheme with the second order convergence behavior for approximation of Maxwell's equations.Then the corresponding optimal error estimates are derived.The difficulty in construction of this finite element scheme is how to choose a compatible pair of degrees of freedom and shape function space so as to make the consistency error due to the nonconformity of the element being of order O(h 3 ) ,properly one order higher than that of its interpolation error O(h 2 ) in the broken energy norm,where h is the subdivision parameter tending to zero.展开更多
In this paper,the nonlinear minimax problems are discussed.By means of the Sequential QuadraticProgramming (SQP),a new descent algorithm for solving the problems is presented.At each iteration of theproposed algorithm...In this paper,the nonlinear minimax problems are discussed.By means of the Sequential QuadraticProgramming (SQP),a new descent algorithm for solving the problems is presented.At each iteration of theproposed algorithm,a main search direction is obtained by solving a Quadratic Programming (QP) which alwayshas a solution.In order to avoid the Maratos effect,a correction direction is obtained by updating the maindirection with a simple explicit formula.Under mild conditions without the strict complementarity,the globaland superlinear convergence of the algorithm can be obtained.Finally,some numerical experiments are reported.展开更多
A non-autonomous Logistic type equation with infinite delay is investigated.For general nonau-tonomous case,sufficient conditions which guarantee the uniform persistence and globally attractivity of thesystem are obta...A non-autonomous Logistic type equation with infinite delay is investigated.For general nonau-tonomous case,sufficient conditions which guarantee the uniform persistence and globally attractivity of thesystem are obtained;For almost periodic case,by means of a suitable Lyapunov functional,sufficient conditionsare derived for the existence and uniqueness of almost periodic solution of the system.Some new results areobtained.展开更多
文摘1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title (not exceeding 35 characters) to be used as a running head is also required.If there are more than one author for a paper,the name and the e-mail address of the corresponding author (i.e.the author to be contacted) should be indicated.
基金supported by the National Natural Science Foundation of China(No.11871138)。
文摘We study the L^(2)-supercritical nonlinear Schrodinger equation(NLS) with a partial confinement,which is the limit case of the cigar-shaped model in Bose-Einstein condensate(BEC). By constructing a cross constrained variational problem and establishing the invariant manifolds of the evolution fow, we show a sharp condition for global existence.
基金supported by the National Natural Science Foundation of China(Nos.12171497,11771468,11971027)。
文摘In this paper,we study the existence of positive solution for the p-Laplacian equations with frac-tional critical nonlinearity{-Δ)_(p)^(s)u+V(x)|u|^(p-2)u=K(x)f(u)+P(x)|u|p_(s)^(*)-^(2)u,x∈R^(N),u∈Ds,p(RN),where s∈(0,1),p_(s)^(*)=Np/N-sp,N>sp,p>1 and V(x),K(x)are positive continuous functions which vanish at infinity,f is a function with a subcritical growth,and P(x)is bounded,nonnegative continuous function.By using variational method in the weighted spaces,we prove the above problem has at least one positive solution.
文摘In this paper,we present a primal-dual interior point algorithm for semidefinite optimization problems based on a new class of kernel functions.These functions constitute a combination of the classic kernel function and a barrier term.We derive the complexity bounds for large and small-update methods respectively.We show that the best result of iteration bounds for large and small-update methods can be achieved,namely O(q√n(log√n)^q+1/q logn/ε)for large-update methods and O(q^3/2(log√q)^q+1/q√nlogn/ε)for small-update methods.We test the efficiency and the validity of our algorithm by running some computational tests,then we compare our numerical results with results obtained by algorithms based on different kernel functions.
文摘In present note,we apply the Leibniz formula with the nabla operator in discrete fractional calculus(DFC)due to obtain the discrete fractional solutions of a class of associated Bessel equations(ABEs)and a class of associated Legendre equations(ALEs),respectively.Thus,we exhibit a new solution method for such second order linear ordinary differential equations with singular points.
基金Supported in part by the National Natural Science Foundation of China(Nos.11871237,11801576,11271147,11401596)the Fundamental Research Funds for the Central Universities(South-Central University for Nationalities(Nos.CZQ18017,CZQ19010))
文摘The objective of this paper is to study the issue of uniformity on three-level U-type designs in terms of the wrap-around L2-discrepancy.Based on the known formula,we present a new lower bound of wrap-around L2-discrepancy for three-level U-type designs and compare it with those existing ones through figures,numerical simulation and illustrative examples.
基金Partially supported by National Natural Science Foundation of China(No.11771172)key scientific and technological project of higher education of Henan Province(No.19A110019)+1 种基金Science and technology innovation fund of Henan Agricultural University(No.KJCX2019A15)Partially supported by the Ph D Research Foundation of Henan Agricultural University(No.30500614)
文摘A k-tree is a tree with maximum degree at most k. In this paper, we give a sharp degree sum condition for a graph to have a spanning k-tree in which specified vertices have degree less than t, where 1≤t≤k.We denote by σ_k(G) the minimum value of the degree sum of k independent vertices in a graph G. Let k≥2,s≥0 and 1≤t≤k be integers, and suppose G is an(s + 1)-connected graph with σ_k(G)≥|G|+(k-t)s-1.Then for any s specified vertices, G contains a spanning k-tree in which every specified vertex has degree at most t. This improves a result obtained by Matsuda and Matsumura.
基金Supported in part by the National Natural Science Foundation of China under Grant Nos.71761019 and71563021the Natural science foundation of Jiangxi Province under Grant No.20171ACB21022
文摘Zero-utility principle is one of the main premium pricing principles,which has been widely used in insurance practice.In this paper,the nonparametric estimation of zero-utility premium is given.In addition,the consistency and asymptotic normality of the estimation are proved.Some special cases including linear,exponential and quadratic utility are discussed.Finally,the Monte Carlo method is used to show the convergence rate of premium estimation.Furthermore,the histogram and Normal-Probability-Plot are given to investigate the asymptotic normality of the estimators.The results show that our estimations are good enough to use in practice.
基金Supported by the National Natural Science Foundation of China(No.11321627,11401479,71561024,11561063)China Postdoctoral Science Foundation(2014M562472)+1 种基金Postdoctoral Science Foundation of Gansu Provincethe Science Research Project for Colleges and Universities of Gansu Province(2016A-003)
文摘In this paper, we consider the existence of positive solutions of second-order periodic boundary value problem u′′+ (1/2+ ε)~2*u = λg(t)f(u), t∈[0, 2π], u(0) = u(2π), u′(0) = u′(2π),where 0 <ε <12, g : [0, 2π]→ R is continuous, f : [0, ∞)→R is continuous and λ > 0 is a parameter.
文摘Detection of multiple outliers or subset of influential points has been rarely considered in the linear measurement error models. In this paper a new influence statistic for one or a set of observations is generalized and characterized based on the corrected likelihood in the linear measurement error models. This influence statistic can be expressed in terms of the residuals and the leverages of linear measurement error regression.Unlike Cook's statistic, this new measure of influence has asymptotically normal distribution and is able to detect a subset of high leverage outliers which is not identified by Cook's statistic. As an illustrative example,simulation studies and a real data set are analysed.
基金supported by the National Natural Science Foundations of China(No.11071165,No.11071199)Natural Science Foundation of Guangxi(No.2013GXNSFBA019008)Department of Research Project of Guangxi Provincial(No.2013YB102)
文摘The present paper is devoted to the existence of the random attractor for partly dissipative stochastic lattice dynamical systems with multiplicative white noises.
基金Supported by the National Natural Science Foundation of China(No.11301351)
文摘Hypothesis testing for the parametric component in the partial linear errors-in-variables(EV)regression models is discussed in this paper. Based on the corrected profile least square estimator, five test statistics are proposed and the asymptotic null distributions of them are deduced. Simulations have been done to show the performance of these test statistics under null and alternative hypothesis.
基金Supported by the National Natural Science Foundation of Ministry of Education of Beijing(No.KM200810772010)Sponsored by the Science Research Foundation of Beijing Information Science and Tech-nology University(5026010948)
文摘In this paper,we consider the following quasilinear diferential equation(p(u′))′+λf(t,u)=0subject to one of the two boundary conditions:u(0)=u′(1)=0,u′(0)=u(1)=0.After transforming them into a problem of symmetrical solutions,the existence of three solutions of the problem is obtained by using a recent critical point theorem of Recceri.An example is given to demonstrate our main result.
基金Supported by the Natural Science Research Foundation for Higher Education of Anhui Province of China(No.KJ2013B272)Fundamental Research Funds for the Huangshan University(No.2012xkjq008)
文摘This paper consider the(BMAP1,BMAP2)/(PH1,PH2)/N retrial queue with finite-position buffer.The behavior of the system is described in terms of continuous time multi-dimensional Markov chain.Arriving type I calls find all servers busy and join the buffer,if the positions of the buffer are insuffcient,they can go to orbit.Arriving type II calls find all servers busy and join the orbit directly.Each server can provide two types heterogeneous services with Phase-type(PH)time distribution to every arriving call(including types I and II calls),arriving calls have an option to choose either type of services.The model is quite general enough to cover most of the systems in communication networks.We derive the ergodicity condition,the stationary distribution and the main performance characteristics of the system.The effects of various parameters on the system performance measures are illustrated numerically.
基金Supported by Department of Science and Technology, Govt. of India through Project No.:SR/S4/MS:229/04
文摘We consider an M X /G/1 queueing system with two phases of heterogeneous service and Bernoulli vacation schedule which operate under a linear retrial policy. In addition, each individual customer is subject to a control admission policy upon the arrival. This model generalizes both the classical M/G/1 retrial queue with arrivals in batches and a two phase batch arrival queue with a single vacation under Bernoulli vacation schedule. We will carry out an extensive stationary analysis of the system , including existence of the stationary regime, embedded Markov chain, steady state distribution of the server state and number of customer in the retrial group, stochastic decomposition and calculation of the first moment.
基金supported by the National Natural Science Foundation of China Grants(No.10571169 and 10731010)the National Basic Research Program of China (973 Program) (No.2007CB814902)
文摘In many longitudinal studies,observation times as well as censoring times may be correlated with longitudinal responses.This paper considers a multiplicative random effects model for the longitudinal response where these correlations may exist and a joint modeling approach is proposed via a shared latent variable.For inference about regression parameters,estimating equation approaches are developed and asymptotic properties of the proposed estimators are established.The finite sample behavior of the methods is examined through simulation studies and an application to a data set from a bladder cancer study is provided for illustration.
基金supported by the National Natural Science Foundation of China under Grants (No. 11001029, 10971220)the Fundamental Research Funds for the Central Universities (BUPT2009RC0705)
文摘The paper studies the muiti-agent cooperative hedging problem of contingent claims in the complete market when the g-expected shortfall risks are bounded. We give the optimal cooperative hedging strategy explicitly by the Neyman-Pearson lemma under g-probability.
基金Supported by the National Natural Science Foundation of China (No. 10971203)the Doctor Foundationof Henan Institute of Engineering (No. D09008)
文摘The main objective of this paper is to present a new rectangular nonconforming finite element scheme with the second order convergence behavior for approximation of Maxwell's equations.Then the corresponding optimal error estimates are derived.The difficulty in construction of this finite element scheme is how to choose a compatible pair of degrees of freedom and shape function space so as to make the consistency error due to the nonconformity of the element being of order O(h 3 ) ,properly one order higher than that of its interpolation error O(h 2 ) in the broken energy norm,where h is the subdivision parameter tending to zero.
基金the National Natural Science Foundation of China(No.10261001)Guangxi Science Foundation(Nos.0236001,0640001)China as well as Guangxi University Key Program for Science and Technology Research(No.2005ZD02).
文摘In this paper,the nonlinear minimax problems are discussed.By means of the Sequential QuadraticProgramming (SQP),a new descent algorithm for solving the problems is presented.At each iteration of theproposed algorithm,a main search direction is obtained by solving a Quadratic Programming (QP) which alwayshas a solution.In order to avoid the Maratos effect,a correction direction is obtained by updating the maindirection with a simple explicit formula.Under mild conditions without the strict complementarity,the globaland superlinear convergence of the algorithm can be obtained.Finally,some numerical experiments are reported.
基金Supported by the National Natural Science Foundation of China(10501007)the Foundation of Science and Technology of Fujian Province for Young Scholars(2004J0002)Foundation of Fujian Education Bureau(JA04156).
文摘A non-autonomous Logistic type equation with infinite delay is investigated.For general nonau-tonomous case,sufficient conditions which guarantee the uniform persistence and globally attractivity of thesystem are obtained;For almost periodic case,by means of a suitable Lyapunov functional,sufficient conditionsare derived for the existence and uniqueness of almost periodic solution of the system.Some new results areobtained.
