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Positive solutions of non-positone Dirichlet boundary value problems with singularities in the phase variables

✍ Scribed by Ravi P. Agarwal; Donal O'Regan; Svatoslav Staněk

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 181 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610630

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✦ Synopsis

Abstract

The paper presents existence results for positive solutions of the differential equations x ″ + μh (x) = 0 and x ″ + μf (t, x) = 0 satisfying the Dirichlet boundary conditions. Here μ is a positive parameter and h and f are singular functions of non‐positone type. Examples are given to illustrate the main results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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