Oscillation Criteria for First Order Nonlinear Differential Equations with Retarded Arguments

N.T. Markova; P.S. Simeonov

Title	Oscillation Criteria for First Order Nonlinear Differential Equations with Retarded Arguments
Publication Type	Journal Article
Year of Publication	2005
Authors	Markova, NT, Simeonov, PS
Volume	9
Issue	4
Start Page	527
Pagination	12
Date Published	2005
ISSN	1083-2564
AMS	34K15
Abstract	In this paper some new oscillation criteria are obtained for the first order nonlinear differential equation $${ x′(t) +\sum_{i=1}^{n} p_i(t)f_i(x(τ_0(t)), . . . , x(τ_m(t))) = 0, \ \ \ t ≥ α }$$ with retarded arguments, where ${ n ≥ 1,\ m ≥ 1,\ p_i(t) ≥ 0, \ τ_j (t) ≤ t}$ and ${x_0 f_i(x_0, . . . , x_m) > 0 }$ for ${ t ≥ α,\ x_0x_j > 0,\ i = 1, . . . , n, \ j = 0, . . . , m. }$
URL	http://www.acadsol.eu/en/articles/9/4/6.pdf
Refereed Designation	Refereed
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