@article{Adamu_B. M. Abdulhamid_D. T. Gbande_A. S. Halliru_2021, title={Simple motion pursuit differential game problem of many players with integral and geometric constraints on controls function. }, volume={3}, url={https://www.journal.nsps.org.ng/index.php/jnsps/article/view/148}, DOI={10.46481/jnsps.2021.148}, abstractNote={<p>We study a simple motion pursuit differential game of many pursuers and one evader in a Hilbert space $l_{2}$. The control functions of the pursuers and evader are subject to integral and geometric constraints respectively. Duration of the game is denoted by positive number $\theta $. Pursuit is said to be completed if there exist strategies $u_{j}$ of the pursuers $P_{j}$ such that for any admissible control $v(\cdot)$ of the evader $E$ the inequality $\|y(\tau)-x_{j}(\tau)\|\leq l_{j}$ is satisfied for some $ j\in \{1,2, \dots\}$ and some time $\tau$. In this paper, sufficient conditions for completion of pursuit were obtained. Consequently strategies of the pursuers that ensure completion of pursuit are constructed.</p>}, number={1}, journal={Journal of the Nigerian Society of Physical Sciences}, author={Adamu, Jamilu and B. M. Abdulhamid and D. T. Gbande and A. S. Halliru}, year={2021}, month={Feb.}, pages={12–16} }