Systems of first-order nabla dynamic  equations on time scales

Bouharket Bendouma 1 , Amine Benaissa Cherif 2 * and Ahmed Hammoudi 2

doi:10.26637/MJM0604/0009

Systems of first-order nabla dynamic equations on time scales

Authors :

Bouharket Bendouma ¹ , Amine Benaissa Cherif ^{2 *}and Ahmed Hammoudi ²

Author Address :

¹Ibn Khaldoun, Tiaret University PB78, 14000 zaâroura, Tiaret, Algeria.
²Department of Mathematics, University of Ain Temouchent, BP 284, 46000, Ain Temouchent, Algeria.

*Corresponding author.

Abstract :

In this article, we study the existence of solutions to systems of first-order $ abla$-dynamic equations on time scales with periodic boundary or terminal value conditions. where the right member of the system is $ abla$-Carath’{e}odory. We employ the method of solution-tube and Schauder’s fixed-point theorem.

Keywords :

$ abla$-dynamic equation, systems of first-order equation on time scales, solution-tube, existence theorems, Schauder’s fixed-point theorem.

DOI :

10.26637/MJM0604/0009

Article Info :

Received : February 19, 2018; Accepted : August 02, 2018.