OSCILLATION CRITERIA FOR FIRST ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENTS

TitleOSCILLATION CRITERIA FOR FIRST ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENTS
Publication TypeJournal Article
Year of Publication2006
AuthorsMarkova, NT, Simeonov, PS
Volume10
Issue2
Start Page209
Pagination14
Date Published2006
ISSN1083-2564
AMS34K15
Abstract

In this paper some new oscillation criteria are obtained for the first order nonlinear differential equation $${ x′ (t) = \sum^{n}_{i=1} p_i(t)f_i(x(σ_0(t)), . . . , x(σ_m(t))), \ \ \ \ \ t ≥ α }$$ with advanced arguments, where ${n ≥ 1, \ m ≥ 1 }$are integers, ${ p_i(t) ≥ 0, \  σ_j (t) ≥ t }$ and ${ x_0f_i(x_0, . . . , x_m) > 0 }$ for ${ t ≥ α, \ x_0x_j > 0, \ \  i = 1, . . . , n, \ \ j = 0, . . . , m.}$
URLhttp://www.acadsol.eu/en/articles/10/2/9.pdf
Refereed DesignationRefereed
Full Text

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