Double positive solutions for second order nonlocal functional and ordinary boundary value problems
Keywords
Positive solutions, boundry value problems, second order functional differential equtions, nonlocal boundary conditionsAbstract
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.Downloads
Published
2006-09-01
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1.
TSAMATOS, Panagiotis Ch. Double positive solutions for second order nonlocal functional and ordinary boundary value problems. Topological Methods in Nonlinear Analysis. Online. 1 September 2006. Vol. 28, no. 1, pp. 117 - 131. [Accessed 29 March 2024].
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