EXISTENCE OF SOLUTIONS TO AN m-POINT BOUNDARY VALUE PROBLEM OF THIRD ORDER ODE’S AT RESONANCE

EXISTENCE OF SOLUTIONS TO AN m-POINT BOUNDARY VALUE PROBLEM OF THIRD ORDER ODE’S AT RESONANCE

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摘要 In this paper,we study an m-point boundary value problem of third order ODEs at resonance. We prove some existence results for the m-point boundary value problem at resonance by the coincidence degree theory of [8,9]. Our result is new. Meanwhile,an example is presented to demonstrate the main result. In this paper,we study an m-point boundary value problem of third order ODEs at resonance. We prove some existence results for the m-point boundary value problem at resonance by the coincidence degree theory of [8,9]. Our result is new. Meanwhile,an example is presented to demonstrate the main result.

作者 Chunyan Xue,Meiqiang Feng(School of Science,Beijing Information Science & Technology University,Beijing 100192)

出处《Annals of Differential Equations》 2011年第3期384-389,共6页 微分方程年刊（英文版）

基金 sponsored by the National Natural Science Foundation of China (10671023) the Scientific Creative Platform Foundation of Beijing Municipal Commission of Education (PXM2008-014224-067420) the Science Foundation of Ministry of Education of Beijing (KM200810772010)

关键词 boundary value problem Fredholm operator RESONANCE boundary value problem Fredholm operator resonance

分类号 O175.1 [理学—基础数学]

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Annals of Differential Equations

2011年第3期

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EXISTENCE OF SOLUTIONS TO AN m-POINT BOUNDARY VALUE PROBLEM OF THIRD ORDER ODE’S AT RESONANCE

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