The branching problem in generalized power solutions to differential equations

Alejandro S. Jakubi

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 67, issue 1, 45-54

Abstract: 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.

Keywords: Generalized power series; Nonlinear ordinary differential equations; Symbolic computation; Cosmological models (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:67:y:2004:i:1:p:45-54

DOI: 10.1016/j.matcom.2004.05.007

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