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Schauder不动点定理在(k,n-k)共轭边值问题中的应用 被引量：2

Application of Schauder's Fixed Point Theorem to(k,n-k) Conjugate Boundary Value Problem
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摘要 利用Schauder不动点定理研究高阶奇异(k,n-k)共轭边值问题:{(-1)n-kx(n)=f(t,x)+e(t),t∈(0,1),x(i)(0)=0,0≤i≤k-1,x(j)(1)=0,0≤j≤n-k-1,其中f的第一个或第二个变量可以具有奇性,e可以是负的,并给出了几个新的存在性结果. New results on the existence of positive solutions for singular higher differential equations with（k,n-k） conjugate boundary value problem{（-1） n-kx（n） = f（t,x） ＋ e（t）,t ∈（0,1）,x（i）（0） = 0,0 ≤ i ≤ k-1,x（j）（1） = 0,0 ≤ j ≤ n-k-1,have been obtained,where f may be singular in its first or second variable,e does not need to be positive.The proof relies on Schauder＇s fixed point theorem.
作者 王丽颖 许晓婕
机构地区 白城师范学院数学系 中国石油大学(华东)数学与计算科学学院 东北师范大学数学与统计学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2010年第4期551-556,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10971021) 中国石油大学校内基金(批准号:y070815)
关键词 正解 SCHAUDER不动点定理 共轭边值问题 positive solution Schauder＇s fixed point theorem conjugate boundary value problem
分类号 O175.1 [理学—基础数学]
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参考文献12

  • 1Agarwal R P,O'Regan D.Multiplicity Results for Singular Conjugate,Focal and (n,p) Problems[J].J Differential Equations,2001,170(1):142-156.
  • 2LIN Xiao-ning,JIANG Da-qing,LI Xiao-yue.Existence and Uniqueness of Solutions for Singular (k,n-k) Conjugate Boundary Value Problems[J].Computers and Mathematics with Applications,2006,52(3/4):375-382.
  • 3Eloe P W,Henderson J.Singular Nonlinear (k,n-k) Conjugate Boundary Value Problems[J].J Differential Equations,1997,133(1):136-151.
  • 4JIANG Da-qing.Multiple Positive Solutions to Singular Boundary Value Problems for Superlinear Higher Order ODEs[J].Computers and Mathematics with Applications,2000,40(2/3):249-259.
  • 5KONG Ling-bin,WANG Jun-yu.The Green's Function for (k,n-k) Boundary Value Problems and Its Applications[J].J Math Anal Appl,2001,255(2):404-422.
  • 6Agarwal R P,O'Regan D.Positive Solutions of Differential,Difference and Integral Equations[M].Dordrecht:Kluwer Acad Publishers,1999.
  • 7LU Meng-seng.On a Fourth Order Eiqenvalue Problem[J].Advances in Mathematics,2000,29(1):91-93.
  • 8Agarwal R P,O'Regan D.Singular Differential,Integral and Discrete Equations:the Semipositone Case[J].Mosc Math J,2002,2(2):1-15.
  • 9Agarwal R P,Grace S R,O'Regan D.Discrete Semipositone Higher-Order Equations[J].Computers and Mathematics with Applications,2003,45(6/7/8/9):1171-1179.
  • 10Agarwal R P,Grace S R,O'Regan D.Existence of Positive Solutions to Semipositone Fredholm Integral Equations[J].Funkcial Ekvac,2002,45:223-235.

同被引文献19

  • 1Kilbas A A,Srivastava H M,Trujillo J J.Theory and Applications of Fractional Differential Equations[M].Amsterdam:North-Holland Mathematics Studies,2006.
  • 2Oldham K B,Spanier J.The Fractional Calculus[M].New York:Academic Preess,1974.
  • 3Ross B.The Fractional Calculus and Its Applications[M].Berlin:Springer-Verlag,1975.
  • 4Nonnenmacher T F,Metzler R.On the Riemann-Liouvile Fractional Calculus and Some Recent Applications[J].Fractals,1995,3(3):557-566.
  • 5Tatom F B.The Relationship between Fractional Calculus and Fractals[J].Fractals,1995,3(1):217-229.
  • 6Podlubny I.Fractional Differential Equations[M].New York:Academic Press,1999.
  • 7Samko S G,Kilbas A A,Marichev O I.Fractional Integral and Derivatives(Theorey and Applications)[M].Switzerland:Gordon and Breach,1993.
  • 8BAI Zhan-bing,LHai-shen.Positive Solutions for Boundary Value Problem of Nonlinear Fractional DifferentialEquation[J].J Math Anal Appl,2005,311(2):495-505.
  • 9JIANG Da-qing,YUAN Cheng-jun.The Positive Properties of Green’s Function for Dirichlet-Type Boundary ValueProblems of Nonlinear Fractional Differential Equations and Its Application[J].Nonlinear Analysis Series A:Theory,Methods and Applications,2010,72(2):710-719.
  • 10Agarwal R P,O’Regan D,Staněk S.Positive Solutions for Dirichlet Problems of Singular Nonlinear FractionalDifferential Equations[J].J Math Anal Appl,2010,371:57-68.

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吉林大学学报（理学版）
2010年 第4期

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