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Existence of Solutions for a Multi-point Boundary Value Problems with Three Dimension Kernal at Resonance

Existence of Solutions for a Multi-point Boundary Value Problems with Three Dimension Kernal at Resonance
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摘要 In this paper,a multi-point boundary value problems for a three order nonlinear deferential equation is considered.With the help of coincidence theorem due to Mawhin,a existence theorem is obtained.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期138-143,共6页 数学季刊(英文版)
基金 Supported by Nature Science Foundation of Education Department of Henan Province(2010A110023)
关键词 boundary value problems coincidence degree theorem existence theorem 2000 MR Subject Classification:34B10 34B15 边界价值问题;巧合度定理;存在定理;
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参考文献7

  • 1BITSADZE A V.On the theory of nonlocal boundary value problems[J].Soviet Math Dock,1964,30:8-10. 被引量:1
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二级参考文献7

  • 1Bitsadze A.V., On the theory of nonlocal boundary value problems, Soviet. Math. Dock., 1964, 30: 8-10. 被引量:1
  • 2Feng W., Webb J.R.L., Solvability of m-point boundary value problems with nonlinear growth, J. Math. Anal. Appl., 1997, 212: 467-480. 被引量:1
  • 3Liu B., Solvability of multi-point boundary value problem at resonance-Part Ⅳ, Appl. Math. Comput., 2003, 143: 275-299. 被引量:1
  • 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. 被引量:1
  • 5Kosmatov N., A multi-point boundary value problem with two critical conditions, Nonlinear Anal., 2006, 65: 622-633. 被引量:1
  • 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. 被引量:1
  • 7Mawhin J., Topological degree methods in nonlinear boundary value problems, in: NSFCBMS Regional Conference Series in Mathematics, Amer. Math. Soc., Providence, RI, 1979. 被引量:1

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