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一类具二维核共振条件三阶多点边值问题解的存在性
引用本文:刘广军,任立顺,赵志良.一类具二维核共振条件三阶多点边值问题解的存在性[J].大学数学,2010,26(5).
作者姓名:刘广军  任立顺  赵志良
基金项目:河南省教育厅自然科学基金资助项目
摘    要:利用Mawin的重合度定理建立了一类三阶多点边值问题边值条件解的存在性.同时给出一个例子以说明该存在性结果的可用性.

关 键 词:共振  边值问题  重合度定理  Fredholm算子

Existence of Solution for a Third Order Multi-point Boundary Value Problems with Two Dimension Kernal at Resonance
LIU Guang-jun,REN Li-shun,ZHAO Zhi-liang.Existence of Solution for a Third Order Multi-point Boundary Value Problems with Two Dimension Kernal at Resonance[J].College Mathematics,2010,26(5).
Authors:LIU Guang-jun  REN Li-shun  ZHAO Zhi-liang
Abstract:A multi-point boundary value problems for a third order nonlinear deferential equation are considered.With the help of coincidence theorem due to Mawhin,an existence theorem is obtained.Also an example is given to illustrate existence result.
Keywords:resonance  boundary value problem  concidence degree theorem  Fredholm opeerator
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