Generalized multitime expansions for equations with slowly varying coefficients

Autor:	L. E. Levine, W. C. Obi
Jazyk:	angličtina
Rok vydání:	1984
Předmět:	ordinary differential equations asymptotic expansions perturbations. Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 7, Iss 1, Pp 151-158 (1984)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425 01611712
DOI:	10.1155/S0161171284000156
Popis:	The successive terms in a uniformly valid multitime expansion of the solutions of constant coefficient differential equations containing a small parameter ϵ may be obtained without resorting to secularity conditions if the time scales ti=ϵit(i=0,1,…) are used. Similar results have been achieved in some cases for equations with variable coefficients by using nonlinear time scales generated from the equations themselves. This paper extends the latter approach to the general second order ordinary differential equation with slowly varying coefficients and examines the restrictions imposed by the method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4d5f52f2dd15482fa3a57a26449571ae Zobrazit plný text záznamu Plný text View record in DOAJ