Factorization of a class of almost linear second-order differential equations

Estevez, P.; KURU, ŞENGÜL; Negro, J.; Nieto, L.

doi:10.1088/1751-8113/40/32/007

Factorization of a class of almost linear second-order differential equations

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Estevez P. G., KURU Ş., Negro J., Nieto L. M.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.40, no.32, pp.9819-9824, 2007 (SCI-Expanded)

Publication Type: Article / Article
Volume: 40 Issue: 32
Publication Date: 2007
Doi Number: 10.1088/1751-8113/40/32/007
Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.9819-9824
Ankara University Affiliated: Yes

Abstract

A general type of almost linear second-order differential equations, which are directly related to several interesting physical problems, is characterized. The solutions of these equations are obtained using the factorization technique, and their non-autonomous invariants are also found by means of scale transformations.