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2015 Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems
Guy Aymard Degla
Abstr. Appl. Anal. 2015: 1-4 (2015). DOI: 10.1155/2015/732761

Abstract

We show that the sublinearity hypothesis of some well-known existence results on multipoint Boundary Value Problems (in short BVPs) may allow the existence of infinitely many solutions by using Tietze extension theorem. This is a qualitative result which is of concern in Applied Analysis and can motivate more research on the conditions that ascertain the existence of multiple solutions to sublinear BVPs. The idea of the proof is of independent interest since it shows a constructive way to have ordinary differential equations with multiple solutions.

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Guy Aymard Degla. "Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems." Abstr. Appl. Anal. 2015 1 - 4, 2015. https://doi.org/10.1155/2015/732761

Information

Published: 2015
First available in Project Euclid: 13 October 2015

zbMATH: 1343.34054
MathSciNet: MR3407013
Digital Object Identifier: 10.1155/2015/732761

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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