EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 88(102), pp. 1–20 (2010)

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REGULARLY VARYING SOLUTIONS OF PERTURBED EULER DIFFERENTIAL EQUATIONS AND RELATED FUNCTIONAL DIFFERENTIAL EQUATIONS

Kusano Takasi and Vojislav Maric

Department of Applied Mathematics, Faculty of Science Fukuoka University, Fukuoka, Japan and Serbian Academy of Sciences and Arts, Beograd, Serbia

Abstract: An asymptotic analysis in the framework of Karamata regularly varying functions is performed for the solutions of second order linear differential and functional differential equations in the critical case i.e., when condition (1.5) as given below, holds.

Classification (MSC2000): 34C11, 34K06; 26A12

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Electronic fulltext finalized on: 19 Nov 2010. This page was last modified: 6 Dec 2010.

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