Geodesic
Existence Results for Nonlinear Impulsive $q_k$-integral Boundary Value Problems
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 227 .

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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.
DOI : 10.2298/PIM1613227Z
Classification : 39A13, 05A13
Keywords: $q_k$-difference equation, impulse, $q_k$-integral boundary conditions, Leray--Schauder degree theory, contraction mapping principle 
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     title = {Existence {Results} for {Nonlinear} {Impulsive} $q_k$-integral {Boundary} {Value} {Problems}},
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Lihong Zhang; Bashir Ahmad; Guotao Wang. Existence Results for Nonlinear Impulsive $q_k$-integral Boundary Value Problems. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 227 . doi : 10.2298/PIM1613227Z. http://geodesic.mathdoc.fr/articles/10.2298/PIM1613227Z/

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