Differential games described by infinite system of differential equations

Different approaches have been used by many researchers to solve control problems for parabolic and hyperbolic partial differential equations. Some of these problems can be reduced to the ones described by infinite systems of ordinary differential equations by using the decomposition method. Therefo...

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Main Author:	Mat Hasim, Risman
Format:	Thesis
Language:	English
Published:	2014
Subjects:	Mathematics Differential games Differential equations
Online Access:	http://psasir.upm.edu.my/id/eprint/75938/1/FS%202014%2090%20IR.pdf
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id	my-upm-ir.75938
record_format	uketd_dc
spelling	my-upm-ir.759382019-11-22T01:07:57Z Differential games described by infinite system of differential equations 2014-04 Mat Hasim, Risman Different approaches have been used by many researchers to solve control problems for parabolic and hyperbolic partial differential equations. Some of these problems can be reduced to the ones described by infinite systems of ordinary differential equations by using the decomposition method. Therefore there is a significant relationship between control problems described by partial differential equations and those described by infinite system of differential equations. We study three types of infinite systems. The first is infinite systems of first order differential equations. The second system is infinite system of second order differential equations and the third system is infinite system of 2-systems of first order differential equations. In this thesis, we study the uniqueness and existence theorems for all systems then we study control and differential game problems. For the first system, we study a pursuit game of one pursuer and one evader and evasion differential game of one evader from infinitely many pursuers in the case of integral constraints. For the second system, we study an evasion differential game of one evader from finite number of pursuers in the case of geometric constraints and for the third system, we study a control problem. Mathematics Differential games Differential equations 2014-04 Thesis http://psasir.upm.edu.my/id/eprint/75938/ http://psasir.upm.edu.my/id/eprint/75938/1/FS%202014%2090%20IR.pdf text en public doctoral Universiti Putra Malaysia Mathematics Differential games Differential equations
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
topic	Mathematics Differential games Differential equations
spellingShingle	Mathematics Differential games Differential equations Mat Hasim, Risman Differential games described by infinite system of differential equations
description	Different approaches have been used by many researchers to solve control problems for parabolic and hyperbolic partial differential equations. Some of these problems can be reduced to the ones described by infinite systems of ordinary differential equations by using the decomposition method. Therefore there is a significant relationship between control problems described by partial differential equations and those described by infinite system of differential equations. We study three types of infinite systems. The first is infinite systems of first order differential equations. The second system is infinite system of second order differential equations and the third system is infinite system of 2-systems of first order differential equations. In this thesis, we study the uniqueness and existence theorems for all systems then we study control and differential game problems. For the first system, we study a pursuit game of one pursuer and one evader and evasion differential game of one evader from infinitely many pursuers in the case of integral constraints. For the second system, we study an evasion differential game of one evader from finite number of pursuers in the case of geometric constraints and for the third system, we study a control problem.
format	Thesis
qualification_level	Doctorate
author	Mat Hasim, Risman
author_facet	Mat Hasim, Risman
author_sort	Mat Hasim, Risman
title	Differential games described by infinite system of differential equations
title_short	Differential games described by infinite system of differential equations
title_full	Differential games described by infinite system of differential equations
title_fullStr	Differential games described by infinite system of differential equations
title_full_unstemmed	Differential games described by infinite system of differential equations
title_sort	differential games described by infinite system of differential equations
granting_institution	Universiti Putra Malaysia
publishDate	2014
url	http://psasir.upm.edu.my/id/eprint/75938/1/FS%202014%2090%20IR.pdf
_version_	1747813099969183744

Differential games described by infinite system of differential equations

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