Existence of Solutions for Second-Order Impulsive q-Difference Equations with Integral Boundary Conditions

Authors

Weerawat Sudsutad, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, ThailandFollow
Jessada Tariboon, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, ThailandFollow
Sotiris K. Ntouyas, Department of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceFollow

Author Country (or Countries)

Thailand

Abstract

Recently the authors introduced in [1] the notions of qk-derivative and qk-integral of a function on finite intervals. As applications existence and uniqueness results for initial value problems for first and second order impulsive qk-difference equations was proved. In this paper, we study the existence and uniqueness of solutions for a boundary value problem of nonlinear second-order impulsive qk-difference equations with integral boundary conditions. Two results are obtained by applying Banach contraction principle and Leray-Schauder’s Nonlinear Alternative. Some examples are presented to illustrate the results.

Recommended Citation

Sudsutad, Weerawat; Tariboon, Jessada; and K. Ntouyas, Sotiris (2015) "Existence of Solutions for Second-Order Impulsive q-Difference Equations with Integral Boundary Conditions," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 16.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/16