Publications de l'Institut Mathématique, Nouvelle SérieVol. 80(94), pp. 207–217 (2006)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 80(94), pp. 207–217 (2006) |
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ON A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS HAVING SLOWLY VARYING SOLUTIONSKusano Takasi and Vojislav MaricDepartment of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 841-0180, Japan; and Serbian Academy of Sciences and Arts, Kneza Mihaila 35, Beograd, SerbiaAbstract: Functional differential equations with deviating arguments are studied for the first time in the framework of Karamata regularly varying functions. A sharp condition is established for the existence of slowly varying solutions for a class of second order linear equations of the form $x"=q(t)x(g(t))$, both in the retarded and in the advanced case. Classification (MSC2000): 34K06; 26A12 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 Oct 2006. This page was last modified: 4 Dec 2006.
© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
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