二阶积分-微分方程周期边值问题正解的存在性

Abstract

Abstract:

The authors studied the existence of single and multipe positive solutions to the periodic boundary value problems (PBVP) of a class of second order integrodifferential equations:u″(t)+a²u(t)=f(t,u,(Su)(t)),t∈［0,2π］,u(0)=u(2π),u′(0)=u′(2π)where S is a Fredholm integral operator. By constructing Green’s function and using fixed point theorem on cone, we proved a group of conditions to gaurantee the existence and multiplicity of positive periodic solutions.

Key words: positive solutions, integrodifferential equations, periodic boundary value problems

CLC Number:

O175.6

ZHOU Yuan-Yuan, LIU Wen-Bin. Existence of Positive Solutions of Periodic Boundary Value Problemsfor Second Order IntegroDifferential Equations[J].J4, 2010, 07(4): 539-544.

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Existence of Positive Solutions of Periodic Boundary Value Problemsfor Second Order IntegroDifferential Equations

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