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ArticleOriginal scientific text

Title

Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions

Authors 1, 2, 2

Affiliations

  1. Institute of Systems Science, Academia Sinica, Beijing 100080, P.R. China
  2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, Spain

Abstract

The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.

Keywords

ENG
upper and lower solutions, monotone iterative technique, Carathéodory function

Bibliography

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Annales Polonici Mathematici
1993/58/3
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Pages:
221-235
Main language of publication
English
Received
1991-10-14
Accepted
1992-02-10
Published
1993
Exact and natural sciences