Positive Solutions of the Semipositone Neumann Boundary Value Problem

In this paper we consider the Neumann boundary value problem at resonance −u''(t) = f t, u(t)  , 0 < t < 1, u' (0) = u' (1) = 0. We assume that the nonlinear term satisfies the inequality f(t, z) + α2z + β(t) ≥ 0, t ∈ [0, 1], z ≥ 0, where β : [0, 1] → R+, and α ≠ 0. Th...

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Bibliographic Details
Main Authors: Johnny Henderson, Nickolai Kosmatov
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-09-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/1020