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

Daniel Franco; Juan J. Nieto; Donal O'Regan

doi:10.7153/mia-06-44

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

Daniel Franco
, Juan J. Nieto
, Donal O'Regan

Mathematics

Universidad Nacional de Educación a Distancia (UNED)
Univ. de Santiago de Compostela

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

69 Citations (Scopus)

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
Pages (from-to)	477-485
Number of pages	9
Journal	Mathematical Inequalities and Applications
Volume	6
Issue number	3
DOIs	https://doi.org/10.7153/mia-06-44
Publication status	Published - Jul 2003

Keywords

Anti-periodic boundary value problem
Leray-Schauder alternative
Upper and lower solutions

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10.7153/mia-06-44

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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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AU - Franco, Daniel

AU - Nieto, Juan J.

AU - O'Regan, Donal

PY - 2003/7

Y1 - 2003/7

N2 - 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.

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.

KW - Anti-periodic boundary value problem

KW - Leray-Schauder alternative

KW - Upper and lower solutions

UR - https://www.scopus.com/pages/publications/0041706146

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DO - 10.7153/mia-06-44

M3 - Article

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VL - 6

SP - 477

EP - 485

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 3

ER -

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

Abstract

Keywords

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