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ArticleOriginal scientific text

Title

Upper and lower solutions satisfying the inverse inequality

Authors 1

Affiliations

  1. Department of Mathematics, Palacký University, Tomkova 40, 77900 Olomouc, Czech Republic

Abstract

We consider multipoint and two-point BVPs for second order ordinary differential equations with a Carathéodory right hand side. We prove the existence of solutions provided there exist upper and lower solutions of the BVP and the upper solution is less than the lower one.

Keywords

ENG
existence, multipoint and two-point BVP, upper and lower solutions, topological degree

Bibliography

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Annales Polonici Mathematici
1996-1997/65/3
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Pages:
235-244
Main language of publication
English
Received
1996-04-15
Published
1997
Exact and natural sciences