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Based on the notion of $q_k$-derivative introduced by the authors in \cite{TN}, we prove in this paper existence and uniqueness results for nonlinear second-order impulsive $q_k$-difference equations with anti-periodic boundary conditions. Two results are obtained by applying Banach's contraction mapping principle and Krasnoselskii's fixed point theorem. Some examples are presented to illustrate the results.
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참고문헌 (19)
참고문헌 신청
B. Ahmad / 2011 / Boundary-value problems for nonlinear third-order q-difference equations / Electron. J. Differential Equations 2011(94):1~7
B. Ahmad / 2012 / A study of second-order q-difference equations with boundary conditions / Adv. Difference Equ 35:10
B. Ahmad / 2012 / On nonlocal boundary value problems of nonlinear q-difference equations / Adv. Difference Equ 2012:81
B. Ahmad / 2011 / Boundary value problems for q-difference inclusions / Abstr. Appl. Anal 2011:15
B. Ahmad / 2012 / Existence results for nonlinear q-difference equations with nonlocal boundary conditions / Comm. Appl. Nonlinear Anal 19(3):59~72
B. Ahmad / 2012 / A study of second-order q-difference equations with boundary conditions / Adv. Difference Equ 35:10
B. Ahmad / 2012 / On nonlocal boundary value problems of nonlinear q-difference equations / Adv. Difference Equ 2012:81
B. Ahmad / 2011 / Boundary value problems for q-difference inclusions / Abstr. Appl. Anal 2011:15
B. Ahmad / 2012 / Existence results for nonlinear q-difference equations with nonlocal boundary conditions / Comm. Appl. Nonlinear Anal 19(3):59~72
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