On a class of functional differential equations having slowly varying solutions | Zendy

Takaŝi Kusano | Zendy; Vojislav Marić | Zendy

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On a class of functional differential equations having slowly varying solutions

Author(s) -

Takaŝi Kusano,

Vojislav Marić

Publication year - 2006

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim0694207k

Subject(s) - class (philosophy) , mathematics , differential equation , mathematical analysis , order (exchange) , linear differential equation , functional differential equation , nonlinear system , pure mathematics , physics , computer science , quantum mechanics , finance , artificial intelligence , economics

Functional differential equations with deviating arguments are studied for the first time in the framework of Karamata regularly varying func- tions. A sharp condition is established for the existence of slowly varying solu- tions 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.

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