Anti-periodic boundary value problem for nonlinear first order ordinary differential equations

Donal O'Regan

Anti-periodic boundary value problem for nonlinear first order ordinary differential equations

Mathematics

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Abstract

We prove several new existence results for a nonlinear anti-periodic first order problem using a Leray-Schauder alternative. Two definitions of lower and upper solutions are presented and we show in this paper the validity of the lower and upper solution method. Also, we give a method to generate a sequence of approximate solutions converging to a solution of the anti-periodic problem.

Original language	English (Ireland)
Number of pages	9
Journal	MATHEMATICAL INEQUALITIES & APPLICATIONS
Volume	6
Publication status	Published - 1 Jul 2003

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Franco, D,Nieto, JJ,O'Regan, D

Cite this

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title = "Anti-periodic boundary value problem for nonlinear first order ordinary differential equations",

abstract = "We prove several new existence results for a nonlinear anti-periodic first order problem using a Leray-Schauder alternative. Two definitions of lower and upper solutions are presented and we show in this paper the validity of the lower and upper solution method. Also, we give a method to generate a sequence of approximate solutions converging to a solution of the anti-periodic problem.",

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AB - We prove several new existence results for a nonlinear anti-periodic first order problem using a Leray-Schauder alternative. Two definitions of lower and upper solutions are presented and we show in this paper the validity of the lower and upper solution method. Also, we give a method to generate a sequence of approximate solutions converging to a solution of the anti-periodic problem.

M3 - Article

VL - 6

JO - MATHEMATICAL INEQUALITIES & APPLICATIONS

JF - MATHEMATICAL INEQUALITIES & APPLICATIONS

ER -

Anti-periodic boundary value problem for nonlinear first order ordinary differential equations

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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