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Existence results for anti-periodic boundary value problems of nonlinear second-order impulsive $q_k$-difference equations

Jessada Tariboon|Sotiris K. Ntouyas|Phollakrit Thiramanus
대한수학회 (The Korean Mathematical Society)|2016.03|대한수학회보 (Bulletin of the KMS)|제53권 제2호|pp. 335-350

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참고문헌

키워드

uniquenessexistencefixed point theorems$q_k$-derivative$q_k$-integralimpulsive $q_k$-difference equationanti-periodic boundary conditions
주제분류수학

초록

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.

Abstract

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.

참고문헌 (19)

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