一阶微分方程周期边值问题的解的存在性

Abstract

Abstract:

Using the topological degree theory, the author proves several existence theorems of solutions between lower and upper solutions for periodic boundary value problems of first order differential equations, where the lower and upper solutions \$α(t)\$ and \$β(t)\$ need not satisfy relations \$α(0)≤α(2π)，β(0)≥β(2π).\$

Key words: Periodic boundary value problems, Lower and upper solutions, Topological degree.

CLC Number:

34A34

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CHEN Ji. On the Existence of Solutions for PBVP of First Order Differential Equations[J].Acta mathematica scientia,Series A, 2003, 23(2): 129-134.

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On the Existence of Solutions for PBVP of First Order Differential Equations

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On the Existence of Solutions for PBVP of First Order Differential Equations

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