摘要
In this paper,we study a pursuit-evasion differential game problem in the Hilbert space L2.Dynamics of countable number of pursuers and evader expressed as nth-order differential equa-tions with geometric constraints on the control functions of the players.The game terminates at a given fixed time which is denoted by 0.The game's payoff is the infimum of the distances between the evader and pursuers at the time 0.According to the rule of the game,pursuers try to minimise the distance to the evader and the evader tries to maximises it.We found value of the game and constructed players'optimal strategies.
作者简介
Abbas Ja'afaru Badakaya is a lecturer for over two decades in the Department of Mathematical Sciences,Bayero Uni-versity,Kano in Nigeria,his alma mater,where he obtained Bachelor and Master of Science Degrees in Mathematics.Uni-versiti Putra Malaysia awarded to him Doctor of Philosophy degree in Applied Mathematics in the year 2012.Abbas hails from Kazaure:town in Jigawa state of Nigeria and happily Married with four children.He was a lecturer in ligawa State Polytechnic from 2017 to 2000.He is a member of the Nigerian Mathematical Society;Aminu Sulaiman Halliru was born in Kano state city.He attended Federal University Dutse,Jigawa state,Nigeria where he obtained BSc Mathematics degree in 2016.He later attended African University of Science and Technology Abuja,where he bagged Certificate in mathematics.Mr Aminu later enrolled into Bayero University Kano where he also bagged M.Sc in Computational mathematics in 2021;Jamilu Adamu received B.Tech and M.Sc degrees in Mathematics from Abubakar Tabawa Balewa University Bauchi and Bayero University Kano respectively.He is currently an Assis-tant Lecturer with department of Mathe-matics Federal University Gashua,Yobe State,Nigeria.
