International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2019, 6(1), 13-17
DOI: 10.12691/ijpdea-6-1-2
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A Problem of Pursuit Game with Various Constraints on Controls of Players

Fateh Allahabi1, and Mohammad Abdulkawi Mahiub2

1Department of Mathematics, Faculty of Science, Thamar University, Yemen

2Department of Mathematics, Faculty of Science and Arts, Najran University, Saudi Arabia

Pub. Date: November 15, 2019

Cite this paper:
Fateh Allahabi and Mohammad Abdulkawi Mahiub. A Problem of Pursuit Game with Various Constraints on Controls of Players. International Journal of Partial Differential Equations and Applications. 2019; 6(1):13-17. doi: 10.12691/ijpdea-6-1-2

Abstract

This work introduce a difference controls of players by using a new control method to completing a pursuit game. We study pursuit game problems for controlled partial differential equations of the parabolic type. We proved a theorem on pursuit game with mixed constraints, where pursuers control are subjected to integral (geometric) constraint and geometric (integral) constraint are imposed on evaders control. Moreover, we established the sufficient conditions for which pursuit is possible in the game considered.

Keywords:
pursuit game admissibility control integral constraint geometric constraint

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