|
|
|
|
|
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. |
|
|
|
|
|