Arab Journal of Mathematical Sciences (Jan 2019)

Existence results for systems of first-order nabla dynamic inclusions on time scales

  • Bouharket Bendouma,
  • Ahmed Hammoudi

Journal volume & issue
Vol. 25, no. 1
pp. 106 – 122

Abstract

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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