Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations

Authors

YUJI LIU

DOI

10.3906/mat-0909-1

Abstract

This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of BVP are established. Two examples are presented to illustrate the main results.

Keywords

Second order differential equation with p-Laplacian, generalized Sturm-Liouville boundary value problem, fixed point theorem in cone

First Page

55

Last Page

86

Recommended Citation

LIU, YUJI (2011) "Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations," Turkish Journal of Mathematics: Vol. 35: No. 1, Article 6. https://doi.org/10.3906/mat-0909-1
Available at: https://journals.tubitak.gov.tr/math/vol35/iss1/6