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POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEM FOR NONLINEAR RETARDED DIFFERENTIAL EQUATION

POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEM FOR NONLINEAR RETARDED DIFFERENTIAL EQUATION
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摘要 By using Krasnoselskii’s fixed-point theorem on a suitable cone, several existence results and corresponding properties of positive solutions of nonlocal boundary value problem for nonlinear retarded differential equation are obtained. MR Subject Classification 34K10 Keywords positive solution - retarded differential equation - nonlocal boundary value problem - Krasnoselskii’s fixed-point theorem Supported by the National Natural Science Foundation of China (10361006), the Natural Science Foundation of Yunnan Province (2003A0001M), Youth Natural Science Foundation of Yunnan Univ. (K1059099) and Science Foundation of Yunnan Educational Community. By using Krasnoselskii’s fixed-point theorem on a suitable cone, several existence results and corresponding properties of positive solutions of nonlocal boundary value problem for nonlinear retarded differential equation are obtained. MR Subject Classification 34K10 Keywords positive solution - retarded differential equation - nonlocal boundary value problem - Krasnoselskii’s fixed-point theorem Supported by the National Natural Science Foundation of China (10361006), the Natural Science Foundation of Yunnan Province (2003A0001M), Youth Natural Science Foundation of Yunnan Univ. (K1059099) and Science Foundation of Yunnan Educational Community.
作者 刘萍 李永昆 卢玲红
机构地区 Dept. of Math.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2004年第3期263-271,共9页 高校应用数学学报（英文版）（B辑）
基金 Supported by the National Natural Science Foundation of China( 1 0 361 0 0 6) the Natural ScienceFoundation of Yunnan Province( 2 0 0 3A0 0 0 1 M) Youth Natural Science Foundation of Yunnan Univ.( K1 0 5 90 99) and Science Foundation of Yunnan E
关键词 MR Subject Classification 34K10 MR Subject Classification 34K10
分类号 O175.8 [理学—基础数学]
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参考文献8

  • 1Karakostas, G.L., Tsamatos, P.Ch., Positive solutions of a boundary value problem for second order ordinary differential equations, Electron. J. Differential Equations, 2000,49:1-9.
  • 2Cao, D., Ma, R., Positive solutions to a second order multi-point boundary value problem, Electron. J. Differential Equations,2000,65:1-8.
  • 3Ma, R., Positive solutions for a nonlinear three-point boundary value problem, Electron. J. Differential Equations,1998,34:1-8.
  • 4Karakostas, G.L., Tsamatos, P. Ch., Positive solution for a nonlocal boundary value problem with increasing responce,Electron. J. Differential Equations, 2000,73:1-8.
  • 5Atici, F.M., Guseinov, G.S., On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions, J. Comput. Appl. Math., 2001,132:341-356.
  • 6Ma, R., Castaneda, N., Existence of solutions of nonlinear m-point boundary value problem, J. Math. Anal. Appl., 2001,256:556-567.
  • 7Karakostas, G.L., Tsamatos, P. Ch., Positive solutions and nonlinear eigenvalue problems for retarded second order differential equations,Electron. J. Differential Equations, 2002,59:1-11.
  • 8Krasnoselskii, M.A., Positive Solutions of Operator Equations, Groningen: Noordhoff, 1964.
Applied Mathematics(A Journal of Chinese Universities)
2004年 第3期

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