Arab Journal of Mathematical Sciences (Jan 2019)
Existence results for systems of first-order nabla dynamic inclusions on time scales
Abstract
In this article, we study the existence of solutions to systems of first-order ∇-dynamic inclusions on time scales with terminal or periodic boundary conditions. We employ the method of solution-tube and Kakutani fixed point theorem. Keywords: ∇-dynamic inclusions, Systems of first-order dynamic inclusions, Solution-tube, Existence theorems, Kakutani fixed-point theorem, Mathematics Subject Classification: 26E70, 34A60, 34B15, 34N05