奇异超线性方程周期边值问题多重正解的存在性

Existence of Multiplicity of Positive Solutions to Singular Superlinear Equations with Periodic Boundary Value Problems

ZHANG Lijuan¹, JIANG Daqing², TIAN Yinghui³

1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, Jilin Province, China；2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China；3. Department of Mathematics, Fuxin Level Specialty College, Fuxin 123000, Liaoning Province, China

Received:2008-07-22 Revised:1900-01-01 Online:2009-05-26 Published:2009-06-23
Contact: JIANG Daqing

Abstract

Abstract: This paper deals with the multiplicity of positive solutions to singular superlinear equations with periodic boundary value problems. It is proved that such a problem has at least two positive solutions under our r easonable conditions when the nonlinear term possesses singularity and super-linearity. The proof relies on a nonlinear alternative of LeraySchauder theorem and Krasnoselskii on fixed point theorem in cones.

Key words: periodic boundary value problem, singular superlinear equation, periodic solution, LearaySchauder alternative theorem, Krasnoselski i fixed point theorem in cones

CLC Number:

O175

ZHANG Lijuan, JIANG Daqing, TIAN Yinghui. Existence of Multiplicity of Positive Solutions to Singular Superlinear Equations with Periodic Boundary Value Problems[J].J4, 2009, 47(03): 487-491.

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Existence of Multiplicity of Positive Solutions to Singular Superlinear Equations with Periodic Boundary Value Problems

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