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一类二阶多点边值共振问题解的存在性
引用本文:王刚,张慧慧.一类二阶多点边值共振问题解的存在性[J].北京联合大学学报(自然科学版),2011,25(4):57-60.
作者姓名:王刚  张慧慧
作者单位:中国矿业大学理学院,江苏徐州,221116
摘    要:本文利用Mawhin的连续性定理及迭合度理论,讨论二阶非线性微分方程多点边值问题共振时解的存在性,得到了解存在的充分条件。

关 键 词:迭合度  非线性微分方程  多点边值问题

The Existence of the Solution to Problems on Second Order Multi-point Resonance Boundary Value
WANG Gang,ZHANG Hui-hui.The Existence of the Solution to Problems on Second Order Multi-point Resonance Boundary Value[J].Journal of Beijing Union University,2011,25(4):57-60.
Authors:WANG Gang  ZHANG Hui-hui
Institution:(College of Science,China University of Mining and Technology,Jiangsu Xuzhou 221008,China)
Abstract:The solvability of the second order nonlinear differential equation with multi-point boundary value conditions at resonance is discussed by means of the coincidence degree theory of Mawhin,and the sufficient conditions for the bondary value problems was obtained.
Keywords:Coincidence Degree  Nonlinear differential equation  Multiple-point boundary value problem
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