Double positive solutions for second order nonlocal functional and ordinary boundary value problems

Panagiotis Ch. Tsamatos

DOI: http://dx.doi.org/10.12775/TMNA.2006.023

Abstract


In this paper we prove the existence of two positive
solutions for a second order nonlinear functional nonlocal
boundary value problem. The results are obtained by using a fixed
point theorem on a Banach space, ordered by an appropriate cone,
due to Avery and Henderson [< i> Two positive fixed points of nonlinear operators on
ordered Banach spaces< /i> , Comm. Appl. Nonlinear Anal. < b> 8< /b> (2001), 27–36]. Using this theorem we have the
advantage that the obtained two solutions have their values at
three points of their domain upper and lower bounded by a-priori
given constants.

Keywords


Positive solutions; boundry value problems; second order functional differential equtions; nonlocal boundary conditions

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