Basic theory of nonlinear third-order q-difference equations and inclusions

    Bashir Ahmad Info
    Juan Jose Nieto Info

Abstract

We investigate the existence of solutions for boundary value problems of the third-order q-difference equations and inclusions. Our results are based on some standard fixed point theorems. In case of inclusion problem, the existence results are obtained for convex as well as nonconvex multi-valued maps. We also discuss the existence of extremal solutions for the inclusion problem.

Keywords:

q-difference equations, inclusions, fixed point, extremal solution

How to Cite

Ahmad, B., & Nieto, J. J. (2013). Basic theory of nonlinear third-order q-difference equations and inclusions. Mathematical Modelling and Analysis, 18(1), 122-135. https://doi.org/10.3846/13926292.2013.760012

Share

Published in Issue
February 1, 2013
Abstract Views
604

View article in other formats

CrossMark check

CrossMark logo

Published

2013-02-01

Issue

Section

Articles

How to Cite

Ahmad, B., & Nieto, J. J. (2013). Basic theory of nonlinear third-order q-difference equations and inclusions. Mathematical Modelling and Analysis, 18(1), 122-135. https://doi.org/10.3846/13926292.2013.760012

Share