In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient condit...In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient conditions are established. In particular, for the alm ost periodic system , the existence of strictly positive alm ostperiodic solutions is obtained. Som e previous results are im proved and generalized.展开更多
This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities,which are formulated by a Riemann-Liouville fra...This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities,which are formulated by a Riemann-Liouville fractional delay evolution equation and a variational inequality.Our approach is based on the resolvent technique and a generalization of strongly continuous semigroups combined with Schauder's fixed point theorem.展开更多
In this paper,we consider nonconvex-valued functional differential inclusions with nonlinear semigroups in Banach spaces,the existence of the integral solutions is proved.
In this paper a uniqueness theorem for a skewperiodic boundary value problem is obtained. By using the optimal control method, we derive the best estimate for the integration mean ensuring that the results hold.
This paper mainly concerns about the traveling wave solution(TwS)for a discrete diffusive epidemic model with asymptomatic carriers.Analysis of the model shows that the minimum wave speed c*exists if a threshold is gr...This paper mainly concerns about the traveling wave solution(TwS)for a discrete diffusive epidemic model with asymptomatic carriers.Analysis of the model shows that the minimum wave speed c*exists if a threshold is greater than one.With the help of sub-and super-solutions,we find that the condition for the existence of TWS is R>1 and wave speed c>c^(*).Further,we prove that the TwS connects two different boundary steady states.Through the arguments with Laplace transform,we show there is no TWS for the model if R>1 and o<c<c^(*)or R≤1.展开更多
In this paper,we study the existence of invasion waves of a diffusive predator prey model with two preys and one predator.The existence of traveling semi-fronts connecting invasion-free equilibrium with wave speed c&g...In this paper,we study the existence of invasion waves of a diffusive predator prey model with two preys and one predator.The existence of traveling semi-fronts connecting invasion-free equilibrium with wave speed c>c^(*)is obtained by Schauder's fixed-point theorem,where c^(*)is the mininial wave speed.The boundedness of such waves is shown by rescaling method and such waves are proved to connect coexistence equilibrium by LaSalle's invariance principle.The existence of traveling front with wave speed c=c^(*)is got by rescaling method and limit arguments.Tht1 non-existence of traveling fronts with speed 0<c<c^(*)is shown by Laplace transform.展开更多
In this paper, the solvability of singular one dimensional p-Laplacian-like equation with Neumann boundary conditions is considered. Under certain conditions on the operator and the nonlinear term which allows singula...In this paper, the solvability of singular one dimensional p-Laplacian-like equation with Neumann boundary conditions is considered. Under certain conditions on the operator and the nonlinear term which allows singularity, the sufficient and necessary condition for the existence of the solution to the problem is obtained. The main method is based on a-priori estimate for the lower bound of solutions, truncation arguments and the Schauder's fixed point theorem.展开更多
文摘In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient conditions are established. In particular, for the alm ost periodic system , the existence of strictly positive alm ostperiodic solutions is obtained. Som e previous results are im proved and generalized.
基金supported by the National Natural Science Foundation of China(11772306)Natural Science Foundation of Guangxi Province(2018GXNSFAA281021)+2 种基金Guangxi Science and Technology Base Foundation(AD20159017)the Foundation of Guilin University of Technology(GUTQDJJ2017062)the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(CUGGC05).
文摘This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities,which are formulated by a Riemann-Liouville fractional delay evolution equation and a variational inequality.Our approach is based on the resolvent technique and a generalization of strongly continuous semigroups combined with Schauder's fixed point theorem.
文摘In this paper,we consider nonconvex-valued functional differential inclusions with nonlinear semigroups in Banach spaces,the existence of the integral solutions is proved.
文摘In this paper a uniqueness theorem for a skewperiodic boundary value problem is obtained. By using the optimal control method, we derive the best estimate for the integration mean ensuring that the results hold.
基金the National Natural Science Foundation of China(no.12101309)the China Postdoctoral Science Foundation(no.2021M691577)+1 种基金the Postdoctoral Foundation of Jiangsu Province.D.Li was supported by the National Natural Science Foundation of China(nos.12171003,11971240)the Science and Technology Project of Jiangxi Provincial Department of Education(no.GJJ190923).
文摘This paper mainly concerns about the traveling wave solution(TwS)for a discrete diffusive epidemic model with asymptomatic carriers.Analysis of the model shows that the minimum wave speed c*exists if a threshold is greater than one.With the help of sub-and super-solutions,we find that the condition for the existence of TWS is R>1 and wave speed c>c^(*).Further,we prove that the TwS connects two different boundary steady states.Through the arguments with Laplace transform,we show there is no TWS for the model if R>1 and o<c<c^(*)or R≤1.
基金This work was supported by the Fundaniental Research Funds for the Central Universities(XDJK2019C106)the Natural Science Foundation of Chongqing,China(cstc2019jcyj-bshX0122,cstc2018jcyjAX0439)+1 种基金the National Natural Science Foundation of China(11871403,11671327,11901477)the Project funded by China Postdoctoral Science Foundation(2019M653816XB).
文摘In this paper,we study the existence of invasion waves of a diffusive predator prey model with two preys and one predator.The existence of traveling semi-fronts connecting invasion-free equilibrium with wave speed c>c^(*)is obtained by Schauder's fixed-point theorem,where c^(*)is the mininial wave speed.The boundedness of such waves is shown by rescaling method and such waves are proved to connect coexistence equilibrium by LaSalle's invariance principle.The existence of traveling front with wave speed c=c^(*)is got by rescaling method and limit arguments.Tht1 non-existence of traveling fronts with speed 0<c<c^(*)is shown by Laplace transform.
基金the Youth Fund of USTC, Thud of Chinese Academy of Sciences and the National Natural Science Foundation of China (No.10071080)
文摘In this paper, the solvability of singular one dimensional p-Laplacian-like equation with Neumann boundary conditions is considered. Under certain conditions on the operator and the nonlinear term which allows singularity, the sufficient and necessary condition for the existence of the solution to the problem is obtained. The main method is based on a-priori estimate for the lower bound of solutions, truncation arguments and the Schauder's fixed point theorem.
