Positive solutions to a second-order singular periodic boundary value problem with derivative argument

Dong Xia Zhao; Hong Zhou Wang

Positive solutions to a second-order singular periodic boundary value problem with derivative argument

Dong Xia Zhao^*, Hong Zhou Wang

^*Corresponding author for this work

School of Mathematics and Statistics

North University of China

Research output: Contribution to journal › Article › peer-review

Abstract

On the basis of nonlinear second-order periodic boundary value problem, the paper mainly discusses the existence of positive solutions to a class of nonlinear second-order singular periodic boundary value problem with derivative argument by using Krasnoselskii fixed point theorem of cone map. The sufficient conditions for positive periodic solutions are obtained. The results are applied to a detailed example, and the traditional results are improved.

Original language	English
Pages (from-to)	291-296
Number of pages	6
Journal	Zhongbei Daxue Xuebao (Ziran Kexue Ban)/Journal of North University of China (Natural Science Edition)
Volume	29
Issue number	4
Publication status	Published - Aug 2008

Keywords

Periodic boundary value problem
Positive solutions
Singularity

Cite this

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title = "Positive solutions to a second-order singular periodic boundary value problem with derivative argument",

abstract = "On the basis of nonlinear second-order periodic boundary value problem, the paper mainly discusses the existence of positive solutions to a class of nonlinear second-order singular periodic boundary value problem with derivative argument by using Krasnoselskii fixed point theorem of cone map. The sufficient conditions for positive periodic solutions are obtained. The results are applied to a detailed example, and the traditional results are improved.",

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author = "Zhao, {Dong Xia} and Wang, {Hong Zhou}",

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pages = "291--296",

journal = "Zhongbei Daxue Xuebao (Ziran Kexue Ban)/Journal of North University of China (Natural Science Edition)",

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AU - Wang, Hong Zhou

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N2 - On the basis of nonlinear second-order periodic boundary value problem, the paper mainly discusses the existence of positive solutions to a class of nonlinear second-order singular periodic boundary value problem with derivative argument by using Krasnoselskii fixed point theorem of cone map. The sufficient conditions for positive periodic solutions are obtained. The results are applied to a detailed example, and the traditional results are improved.

AB - On the basis of nonlinear second-order periodic boundary value problem, the paper mainly discusses the existence of positive solutions to a class of nonlinear second-order singular periodic boundary value problem with derivative argument by using Krasnoselskii fixed point theorem of cone map. The sufficient conditions for positive periodic solutions are obtained. The results are applied to a detailed example, and the traditional results are improved.

KW - Periodic boundary value problem

KW - Positive solutions

KW - Singularity

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JO - Zhongbei Daxue Xuebao (Ziran Kexue Ban)/Journal of North University of China (Natural Science Edition)

JF - Zhongbei Daxue Xuebao (Ziran Kexue Ban)/Journal of North University of China (Natural Science Edition)

IS - 4

ER -

Positive solutions to a second-order singular periodic boundary value problem with derivative argument

Abstract

Keywords

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