| 一类二阶多点边值问题在共振条件下的可解性 |
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| 引用本文： | 张海波.一类二阶多点边值问题在共振条件下的可解性[J].吉林化工学院学报,2014,31(11):79-81. |
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| 作者姓名： | 张海波 |
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| 作者单位： | 吉林化工学院理学院,吉林吉林,132022 |
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| 摘 要： | 讨论二阶多点边值问题的可解性,主要应用Mawhin重合度理论讨论二阶多点边值问题在共振条件下解的存在性,通过给出非线性项满足的条件,利用有效的先验界估计,给出该问题解的存在性结果.
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| 关 键 词： | 边值问题 重合度理论 Fredholm算子 共振 |
The Solvability to a Class of Second Order Multi-point Boundary Value Problem at Resonance |
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| ZHANG Hai-bo.The Solvability to a Class of Second Order Multi-point Boundary Value Problem at Resonance[J].Journal of Jilin Institute of Chemical Technology,2014,31(11):79-81. |
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| Authors: | ZHANG Hai-bo |
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| Affiliation: | ZHANG Hai-bo;College of Sciences,Jilin Institute of Chemical Technology; |
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| Abstract: | In this paper, we will consider the nonlinear the Mawhin theory of coincidence degree, a class of ordinary differential equations are studied. Under existence results are established by supposing priori estimates. fourth order multi-point boundary value problem. Using second order multi-point boundary value problem for the boundary conditions satisfying the resonance case some some conditions to the nonlinear term and applying a priori estimates. |
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| Keywords: | boundary value problem fredholm operator coincidence degree theory resonance |
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