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一类具三维核共振条件多点边值问题(英文) 被引量：1

A Multi-point Boundary Value Problems With Three Dimension Kernel at Resonance
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摘要 本文利用Mawhin的重合度理论建立了一类三阶非线性微分方程多点边值问题解的存在性,而后给出一个例子说明该存在性结果的可用性. In this note, a multi-point boundary value problems for a third order nonlinear differential equation is considered. With the help of coincidence theorem due to Mawhin, an existence theorem is obtained. Also, an example is given to illustrate existence result.
作者 赵志良 梁菊花 任立顺
机构地区 周口师范学院数学系
出处 《数学进展》 CSCD 北大核心 2009年第3期345-358,共14页 Advances in Mathematics（China）
基金 Supported by Nature Science Foundation of Education Department of Henan Province(No.2006110019)
关键词 多点边值问题 重合度理论 存在性定理 boundary value problems coincidence degree theorem existence theorem
分类号 O175.6 [理学—基础数学]
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参考文献7

  • 1Bitsadze A.V., On the theory of nonlocal boundary value problems, Soviet. Math. Dock., 1964, 30: 8-10.
  • 2Feng W., Webb J.R.L., Solvability of m-point boundary value problems with nonlinear growth, J. Math. Anal. Appl., 1997, 212: 467-480.
  • 3Liu B., Solvability of multi-point boundary value problem at resonance-Part Ⅳ, Appl. Math. Comput., 2003, 143: 275-299.
  • 4Du Z. J., Lin X. J., Ge W. G., On a third-order multi-point boundary wlue problem at resonance, J. Math. Anal. Appl., 2005, 302: 217-229.
  • 5Kosmatov N., A multi-point boundary value problem with two critical conditions, Nonlinear Anal., 2006, 65: 622-633.
  • 6Mawhin J., Topological degree and boundary value problems for nonlinear equations, in: P. M. Fitzpertric, M. Martelli, J. Mawhin, R. Nnssbaum(Eds.), Topological Methods for Ordinary Differential Equation, Lecture Notes in Mathematics, vol. 1537, Springer, Berlin, 1991.
  • 7Mawhin J., Topological degree methods in nonlinear boundary value problems, in: NSFCBMS Regional Conference Series in Mathematics, Amer. Math. Soc., Providence, RI, 1979.

同被引文献6

  • 1BITSADZE A V.On the theory of nonlocal boundary value problems[J].Soviet Math Dock,1964,30:8-10.
  • 2FENG W,WEBB J R L.Solvability of m-point boundary value problems with nonlinear growth[J].J Math Anal Appl,1997,212:467-480.
  • 3LIU Bing.Solvability of multi-point boundary value problem at resonance-part Ⅳ[J].Appl Math Comput,2003,143:275-299.
  • 4DU Zeng-ji,LIN Xiao-jie,GE Wei-gao.On a third-order multi-point boundary value problem at resonance[J].J Math Anal Appl,2005,302:217-229.
  • 5KOSMATOV N.A multi-point boundary value problem with two critical conditions[J].Nonlinear Anal,2006,65:622-633.
  • 6MAWHIN J.Topological degree and boundary value problems for nonlinear equations:Topological Methods for Ordinary Differential Equation,Lecture Notes in Mathematics[C].Berlin:Springer,1991,1537.

引证文献1

数学进展
2009年 第3期

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