A Purusit Differential Game Problem on a Closed Convex Subset of a Hilbert Space

  • Abbas Ja'afaru Badakaya Department of Mathematical Sciences, Bayero University, Kano
  • Bilyaminu Muhammad Department of Mathematics,Federal College of Eduction(Technical), Gusau, Zamfara State
Keywords: Pursuit, integral constraint, closed convex set.

Abstract

We study a pursuit differential game problem with finite number of pursuers and one evader on a nonempty closed convex subset of the Hilbert space l2. Players move according to certain first order ordinary differential equations and control functions of the pursuers and evader are subject to integral constraints. Pursuers win the game if the geometric positions of a pursuer and the evader coincide. We formulated and prove theorems that are concern with conditions that ensure win for the pursuers. Consequently, wining strategies of the pursuers are constructed. Furthermore, illustrative example is given to demonstrate the result.

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Published
2020-08-01
How to Cite
Badakaya, A. J., & Muhammad, B. (2020). A Purusit Differential Game Problem on a Closed Convex Subset of a Hilbert Space. Journal of the Nigerian Society of Physical Sciences, 2(3), 115-119. https://doi.org/10.46481/jnsps.2020.82
Section
Original Research