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

#### 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.

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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