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ArticleOriginal scientific text

Title

On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions

Authors 1, 2

Affiliations

  1. Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, Germany
  2. Department of Mathematical Sciences, University of Oulu, 90570 Oulu, Finland

Abstract

We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.

Keywords

ENG
discontinuous implicit differential equations, discontinuous implicit boundary conditions, ordered Banach spaces, fixed point principles in partially ordered sets

Bibliography

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Annales Polonici Mathematici
1999/71/1
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Pages:
1-17
Main language of publication
English
Received
1996-06-19
Accepted
1997-05-15
Published
1999
Exact and natural sciences