Existence of Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem

Existence of Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem

Year:    2017

Author:    Hongping Wu, Shaolin Zhou

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 186–193

Abstract

In this paper, we study a singular third-order three-point boundary value problem. By using a fixed-point theorem of cone expansion-compression type, we establish results on the existence of at least one, at least two, and $n$ positive solutions to the boundary value problem. Finally we give an example.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2017-AAM-20604

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 186–193

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    third-order three-point boundary value problem positive solutions singular nonlinearity fixed-point theorem.

Author Details

Hongping Wu

Shaolin Zhou