Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Anderson, Douglas R.

关键词: Positive solutions;    Cone;    Fixed point theorem;    Nonlinear boundary condition;    Leggett-Williams theorem;   

DOI  :  10.1016/j.jmaa.2013.06.025

来源: Elsevier

【 摘 要 】

Conditions for the existence of at least three positive solutions to the nonlinear first-order problem with a nonlinear rionlocal boundary condition given by y'(t) - r(t)y(t) = Sigma(m)(t=1)f(i)(t, y(t)), t is an element of [0, 1], lambda y(0) = y(1) + Sigma(n)(j=1) Lambda(j)(tau(j), y(tau(j))), tau(j) is an element of [0, 1], are discussed, for sufficiently large lambda > 1 and r >= 0. The Leggett-Williams fixed point theorem is utilized. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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