On the asymptotic solutions of boundary value problems for a class of systems of nonlinear differential equations (I)

Authors
Jiang, FR
Citation
Fr. Jiang, On the asymptotic solutions of boundary value problems for a class of systems of nonlinear differential equations (I), APP MATH ME, 22(3), 2001, pp. 282-293
Citations number
6
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
22
Issue
3
Year of publication
2001
Pages
282 - 293
Database
ISI
SICI code
0253-4827(200103)22:3<282:OTASOB>2.0.ZU;2-U
Abstract
A new method is applied to study the asymptotic behavior of solutions of bo undary value problems for a class of systems of nonlinear differential equa tions u" = nu, epsilon nu" + f(x, u, u')nu' - g(x, u, u') nu = 0 (0 < epsilon muc h less than 1). The asymptotic expansions of solutions are constructed, the remainders are estimated. The former works are improved and generalized.