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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 09 > No. 4

 
   

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

PP: 1793-1802
Author(s)
Weerawat Sudsutad, Jessada Tariboon, Sotiris K. Ntouyas,
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.

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