Title

Uniqueness of Solutions of Boundary Value Problems at Resonance

Document Type

Article

Publication Date

2018

Publication Source

Advances in the Theory of Nonlinear Analysis and its Applications

Abstract

In this paper, the method of upper and lower solutions is employed to obtain uniqueness of solutions for a boundary value problem at resonance. The shift method is applied to show the existence of solutions. A monotone iteration scheme is developed and sequences of approximate solutions are constructed that converge monotonically to the unique solution of the boundary value problem at resonance. Two examples are provided in which explicit upper and lower solutions are exhibited.

Inclusive pages

168-183

ISBN/ISSN

2587-2648

Publisher

Erdal Karapinar

Volume

2

Issue

3

Peer Reviewed

yes

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