The branching problem in generalized power solutions to differential equations

Generalized power asymptotic expansions of solutions to differential equations that depend on parameters are investigated. The changing nature of these expansions as the parameters of the model cross critical values is discussed. An algorithm to identify these critical values and generate the genera...

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Detalles Bibliográficos
Autor principal:	Jakubi, A.S.
Formato:	JOUR
Materias:	Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Algebra Algorithms Function evaluation Mathematical models Parameter estimation Problem solving Differential equations
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_03784754_v67_n1-2_p45_Jakubi
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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spelling	todo:paper_03784754_v67_n1-2_p45_Jakubi2023-10-03T15:33:07Z The branching problem in generalized power solutions to differential equations Jakubi, A.S. Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Algebra Algorithms Function evaluation Mathematical models Parameter estimation Problem solving Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Differential equations Generalized power asymptotic expansions of solutions to differential equations that depend on parameters are investigated. The changing nature of these expansions as the parameters of the model cross critical values is discussed. An algorithm to identify these critical values and generate the generalized power series for distinct families of solutions is presented, and as an application the singular behavior of a cosmological model with a nonlinear dissipative fluid is obtained. This algorithm has been implemented in the computer algebra system Maple. © 2004 IMACS. Published by Elsevier B.V. All rights reserved. Fil:Jakubi, A.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784754_v67_n1-2_p45_Jakubi
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Algebra Algorithms Function evaluation Mathematical models Parameter estimation Problem solving Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Differential equations
spellingShingle	Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Algebra Algorithms Function evaluation Mathematical models Parameter estimation Problem solving Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Differential equations Jakubi, A.S. The branching problem in generalized power solutions to differential equations
topic_facet	Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Algebra Algorithms Function evaluation Mathematical models Parameter estimation Problem solving Cosmological models Generalized power series Nonlinear ordinary differential equations Symbolic computation Differential equations
description	Generalized power asymptotic expansions of solutions to differential equations that depend on parameters are investigated. The changing nature of these expansions as the parameters of the model cross critical values is discussed. An algorithm to identify these critical values and generate the generalized power series for distinct families of solutions is presented, and as an application the singular behavior of a cosmological model with a nonlinear dissipative fluid is obtained. This algorithm has been implemented in the computer algebra system Maple. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.
format	JOUR
author	Jakubi, A.S.
author_facet	Jakubi, A.S.
author_sort	Jakubi, A.S.
title	The branching problem in generalized power solutions to differential equations
title_short	The branching problem in generalized power solutions to differential equations
title_full	The branching problem in generalized power solutions to differential equations
title_fullStr	The branching problem in generalized power solutions to differential equations
title_full_unstemmed	The branching problem in generalized power solutions to differential equations
title_sort	branching problem in generalized power solutions to differential equations
url	http://hdl.handle.net/20.500.12110/paper_03784754_v67_n1-2_p45_Jakubi
work_keys_str_mv	AT jakubias thebranchingproblemingeneralizedpowersolutionstodifferentialequations AT jakubias branchingproblemingeneralizedpowersolutionstodifferentialequations
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The branching problem in generalized power solutions to differential equations

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