PUBLICATIONS DE L'INSTITUT MATH\'EMATIQUE (BEOGRAD) (N.S.) EMIS ELibM Electronic Journals Publications de l'Institut Mathématique (Beograd)
Vol. 72(86), pp. 113-118 (2002)

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REMARKS ON THE EXISTENCE OF REGULARLY VARYING SOLUTIONS FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS

Jaroslav Jaro\v s and Taka\^si Kusano

Department of Mathematical Analysis, Faculty of Mathematics, Physics and Informatics, Comenius University, 84215 Bratislava, Slovakia
and
Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka, 814-0180, Japan

Abstract: A fixed point method is proposed for constructing regularly varying solutions, both principal and nonprincipal, of the second order linear differential equation (A) which is nonoscillatory.

Keywords: second order linear differential equation; regularly varying solutions; fixed point method

Classification (MSC2000): 34C11; 34D05

Full text of the article:

Electronic version published on: 23 Nov 2003. This page was last modified: 24 Nov 2003.

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