EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 79(93), pp. 51–64 (2006)

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EXISTENCE OF REGULARLY AND RAPIDLY VARYING SOLUTIONS FOR A CLASS OF THIRD ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

Jaroslav Jaros, Kusano Takasi, and Vojislav Maric

Department of Mathematical Analysis, Faculty of Mathematics, Physics and Informatics, Comenius University, 84248 Bratislava, Slovakia Department of Applied Mathematics, Faculty of Science, Fukuoka University Fukuoka, 814-0180, Japan Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Serbia

Abstract: The existence of solutions belonging to the Karamata class of functions of a class of third order nonlinear differential equations is proved via some more general results on asymptotic equivalence.

Classification (MSC2000): 34C11; 34D05

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Electronic fulltext finalized on: 10 Oct 2006. This page was last modified: 27 Oct 2006.

© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
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