Article citationsMore>>

O. A. Ladyz-henskaya, V. A. Solonnikov and N. N. Ural’tseva, “Lineinye I Kvazilineinye Uravneniya Parabolicheskogo Tipa,” (Linear and Quasi linear Functions of Parabolic Type), Moscow, Nauka, 1967.

has been cited by the following article:

• TITLE: Differential Games of Pursung in the Systems with Distributed Parameters and Geometrical Restrictions

  AUTHORS: M. Sh. Mamatov, E. B. Tashmanov, , H. N. Alimov

  KEYWORDS: Pursuit; Pursuer; Evader; Terminal Set; Pursuit Control; Evasion control

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.3B, October 25, 2013

  ABSTRACT: A problem of pursuit in the controlled systems of elliptic type without mixed derivatives with variable coefficients was considered. The model of the considered system is described by partial differential equations. The players (opponents) control parameters occur on the right-hand side of the equation and are subjected to various constraints. The first player’s goal is to bring the system from one state into another desired state; the second player’s goal is to prevent this from happening. We represent new sufficient conditions for bringing the system from one state into another. The finite-difference method is used to solve this problem.