Min-max differential game with partial differential equation-Reference-Cited by-同舟云学术

Min-max differential game with partial differential equation

Published:2022 Issue:8 Volume:7 Page:13777-13789
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Youness Ebrahim. A.¹,Megahed Abd El-Monem. A.²,Eladdad Elsayed. E.¹,Madkour Hanem. F. A.¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt

2. Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismalia 41511, Egypt

Abstract

<abstract><p>In this paper, we are concerned with a min-max differential game with Cauchy initial value problem (CIVP) as the state trajectory for the differential game, we studied the analytical solution and the approximate solution by using Picard method (PM) of this problem. We obtained the equivalent integral equation to the CIVP. Also, we suggested a method for solving this problem. The existence, uniqueness of the solution and the uniform convergence are discussed for the two methods.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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