Solutions of Nonlinear Differential Equations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider an ordinary nonlinear differential equation with generalized coefficients as an equation in differentials in algebra of new generalized functions. Then the solution of such equation will be a new generalized function. In the article we formulate necessary and sufficient conditions when the solution of the given equation in algebra of new generalized functions is associated with an ordinary function. Moreover the class of all possible associated functions was described.
20 pages

Keywords

Classical Analysis and ODEs, 34A36 (Primary) 46F30 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/228923

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.4678
 http://arxiv.org/abs/0904.4678

Collections

arXiv