ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (S1): 31-35.

ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS

蒋达清

Department of Mathematics, Northeast Normal University, changchun 130024, China

收稿日期:1996-07-29 修回日期:1997-07-06 出版日期:1998-12-31 发布日期:1998-12-31

ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS

Jiang Daqing

Department of Mathematics, Northeast Normal University, changchun 130024, China

Received:1996-07-29 Revised:1997-07-06 Online:1998-12-31 Published:1998-12-31

摘要/Abstract

摘要： The existence of positive solutions to second-order periodic BVPs-u"+Mu=f(t, u),u(0)=u(2π),u'(0)=u"(2π) and u"+ Mu=f(t, u), u(0)=u(2π), u'(0)=u'(2π)is proved by a simple appliCation of a Fixed point Theorem in cones due to Krasnoselskii.

关键词: Periodic BVP, positive solutions, the fixed point theorem

Abstract: The existence of positive solutions to second-order periodic BVPs-u"+Mu=f(t, u),u(0)=u(2π),u'(0)=u"(2π) and u"+ Mu=f(t, u), u(0)=u(2π), u'(0)=u'(2π)is proved by a simple appliCation of a Fixed point Theorem in cones due to Krasnoselskii.

Key words: Periodic BVP, positive solutions, the fixed point theorem

蒋达清. ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS[J]. 数学物理学报(英文版), 1998, 18(S1): 31-35.

Jiang Daqing. ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS[J]. Acta mathematica scientia,Series B, 1998, 18(S1): 31-35.

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ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS

ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS

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