Geodesic
Impulsive first-order functional $q_k$-integro-difference inclusions with boundary conditions
Tariboon, Jessada1 ; Ntouyas, Sotiris K.2 ; Sudsutad, Weerawat1
1 Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand
2 Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 46-60.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we discuss the existence of solutions for a first order boundary value problem for impulsive functional $q_k$-integro-difference inclusions. Some new existence results are obtained for convex as well as non-convex multivalued maps with the aid of some classical fixed point theorems. Illustrative examples are also presented.
DOI : 10.22436/jnsa.009.01.05
Classification : 34A60, 26A33, 39A13, 34A37
Keywords: \(q_k\)-derivative, \(q_k\)-integral, impulsive \(q_k\)-difference inclusions, existence, fixed point theorem.

Tariboon, Jessada 1 ; Ntouyas, Sotiris K. 2 ; Sudsutad, Weerawat 1

1 Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand
2 Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia 
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Tariboon, Jessada; Ntouyas, Sotiris K.; Sudsutad, Weerawat. Impulsive first-order functional \(q_k\)-integro-difference inclusions with boundary conditions. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 46-60. doi : 10.22436/jnsa.009.01.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.05/

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