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Positive solutions for a class of semilinear two-point boundary value problems

Published online by Cambridge University Press:  17 April 2009

Luis Sanchez
Luis Sanchez
Affiliation:
Instituto Nacional de Investigacao CientificaCentro de Matematica e Aplicacoes Fundamentais 1699 Lisboa CodexPortugal
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Abstract

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We study the existence of positive solutions of the periodic, Neumann or Dirichlet problem for the semilinear equation u″ + f(t, u) = 0, 0 ≤ t ≤ T, where f is a Carathéodory function. Our assumptions in each case are such that the problem possesses a lower solution or an upper solution.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 3 , June 1992 , pp. 439 - 451
Copyright
Copyright © Australian Mathematical Society 1992

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