Impulsive quantum difference systems with boundary conditions

Jessada Tariboon, Sotiris K Ntouyas, Phollakrit Thiramanus
2015 Advances in Difference Equations  
This article studies the existence and uniqueness of solutions for coupled systems of nonlinear impulsive quantum difference equations with coupled and uncoupled boundary conditions. The existence and uniqueness of solutions is established by Banach's contraction principle, while the existence of solutions is derived by using Leray-Schauder's alternative. Examples illustrating our results are also presented.
doi:10.1186/s13662-015-0506-7 fatcat:kdzutg5devd3lnuq44inte7v7i