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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2004
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| 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 |
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| Sumario: | 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. |
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