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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Autor principal:	Jakubi, Alejandro Silvio
Publicado:	2004
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:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784754_v67_n1-2_p45_Jakubi 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

id	paper:paper_03784754_v67_n1-2_p45_Jakubi
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spelling	paper:paper_03784754_v67_n1-2_p45_Jakubi2023-06-08T15:40:21Z The branching problem in generalized power solutions to differential equations Jakubi, Alejandro Silvio 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. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784754_v67_n1-2_p45_Jakubi 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, Alejandro Silvio 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.
author	Jakubi, Alejandro Silvio
author_facet	Jakubi, Alejandro Silvio
author_sort	Jakubi, Alejandro Silvio
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
publishDate	2004
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784754_v67_n1-2_p45_Jakubi http://hdl.handle.net/20.500.12110/paper_03784754_v67_n1-2_p45_Jakubi
work_keys_str_mv	AT jakubialejandrosilvio thebranchingproblemingeneralizedpowersolutionstodifferentialequations AT jakubialejandrosilvio branchingproblemingeneralizedpowersolutionstodifferentialequations
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The branching problem in generalized power solutions to differential equations

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