EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 99(113), pp. 227–235 (2016)

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EXISTENCE RESULTS FOR NONLINEAR IMPULSIVE $q_k$-INTEGRAL BOUNDARY VALUE PROBLEMS

Lihong Zhang, Bashir Ahmad, Guotao Wang

School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi, People's Republic of China; Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract: We investigate a nonlinear impulsive $q_k$-integral boundary value problem by means of Leray–Schauder degree theory and contraction mapping principle. The conditions ensuring the existence and uniqueness of solutions for the problem are presented. An illustrative example is discussed.

Keywords: $q_k$-difference equation; impulse; $q_k$-integral boundary conditions; Leray–Schauder degree theory; contraction mapping principle

Classification (MSC2000): 39A13; 05A13

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Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.

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