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一类共振条件下三阶多点边值问题解的存在性

Existence of solutions for third-order multi-point boundary value problems at resonance
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摘要 利用Mawhin的连续性定理及迭合度理论研究多点边值问题,讨论三阶非线性微分方程多点边值问题共振时解的存在性,获得解存在的充分条件,推广了现有的结果。 This paper discusses the existence of solutions of multi-point boundary value problems for third-order nonlinear differetial equation at resonance by using Mawhin＇s continuous theorem and coincidence degree theory and features the sufficient conditions for the boundary value problems,generalizing known results.
作者 王刚 朱思念 郑婷
机构地区 中国矿业大学理学院
出处 《黑龙江科技学院学报》 CAS 2011年第1期81-84,共4页 Journal of Heilongjiang Institute of Science and Technology
关键词 非线性微分方程 多点边值问题 迭合度 nonlinear differential equation multi-point boundary value problem coincidence degree
分类号 O175.8 [理学—基础数学]
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参考文献8

  • 1LIU BING. Solvability of multi-point boundary value problem at resonance (IV) [ J ]. Appl Math Comput, 2003, 143 ( 2/3 ) : 275 - 299.
  • 2DU ZENG.ll, LIN XIAOJIE, GE WEIGAO. On a third-order multi-point boundary value problem at resonance [ J ]. J Math Anal Appl, 2005, 302( 1 ) : 217 -229.
  • 3LIU BING, ZHAO ZHILIANG. A note on multi-point boundary value problems[J]. Nonlinear Anal, 2007, 67(9) : 2 680 -2 689.
  • 4L1U BING. Periodic solutions of a nonlinear second-order differential equation with deviating argument[ J]. Math Anal Appl, 2005, 309(1) : 313 -321.
  • 5BAI ZHANBING, GE WEIO, LI WEIGUO. Existence and multiplicity of solutions for four-point boundary value problems at resonance[J]. Nonlinear Anal, 2005, 60(6): 1 151-1 162.
  • 6KOSMATOV N. A multi-point boundary value problem with two critical conditions[J]. Nonlinear Anal, 2006, 65(3): 622-633.
  • 7LIU BING. Solvability of multi-point boundary value problem at resonance(Ⅱ) [ J ]. Appl Math Comput, 2003, 136 (2/3) : 353 - 377.
  • 8刘丙镯,车晓飞,陈春香.一类三阶微分方程非局部边值问题的可解性[J].黑龙江科技学院学报,2010,20(3):237-241. 被引量：2

二级参考文献14

  • 1杜增吉,林晓洁,葛渭高.具共振条件下的一类三阶非局部边值问题的可解性[J].数学学报（中文版）,2006,49(1):87-94. 被引量：6
  • 2KOSMATOV N.Multi-point boundary value problems on an un-bounded domain at resonance[J].Nonlinear Anal,2008,68(8):2 158-2 171.
  • 3MAWHIN J.Topological degree and boundary value problems for nonlinear differential equations[M] //FITZPATRIK P,MAR-TELLI M,MAWHZN J,et al.Topological Methods for Ordinary Differential Equations,in:Lecture Notes in Mathematics,Vol.1 537.New York.Berlin:Springer-Vedag,1991:74-142.
  • 4LIU BING,YU JIANSHE.Solvability of multi-point boundary value problem at resonanco(Ⅲ)[J].Appl.Math.Comput,2002,129(1):119-143.
  • 5BITSADZE A V,SAMARSKII A A.Some elementary generaliza-tions of linear elliptic boundary value problems[J].Dokl.Akad.Nauk SSSR,1969,185:739-740.
  • 6KARAKOSTAS G L,TSAMATOS P C.Sufficient conditions for the existence of nonnegative solutions of a noniocal boundary value problems[J].Appl.Math.Lett,2002,15:401-407.
  • 7CORREEA F J S A.,MENEZES S D B,FERREIRA J.On a class of problems involving a nonlocal operator[J].Appl.Math.Comput,2004,147(2):475-489.
  • 8GRAEF J R,WEBB J R L,Third order boundary value problems with nonlocal boundary conditions[J].Nonlinear Anal,2009,71(5/6):1 542-1 551.
  • 9LIU BING.A note on a nonlocal boundary value problem[J].Ap-plied Mathematics and Computation,2004,154:871-880.
  • 10LIU BING,ZHAO ZHILIANG.A note on multi-point boundary value problems[J].Nonlinear Anal,2007,67(9):2 680-2 689.

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黑龙江科技学院学报
2011年 第1期

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