Positive solutions of second order nonlinear difference boundary value problems

Qingkai Kong, Min Wang

Research output: Contribution to journalArticle

Abstract

We study a class of second order nonlinear difference boundary value problems with separated boundary conditions. A series of criteria are obtained for the existence of one, two, arbitrary number, and even an infinite number of positive solutions. A theorem for the nonexistence of positive solutions is also derived. Several examples are given to demonstrate the applications. Our results improve and supplement several results in the literature.

Original languageEnglish (US)
JournalElectronic Journal of Qualitative Theory of Differential Equations
StatePublished - Dec 1 2009

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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