Title | OSCILLATION CRITERIA FOR FIRST ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENTS |
Publication Type | Journal Article |
Year of Publication | 2006 |
Authors | Markova, NT, Simeonov, PS |
Volume | 10 |
Issue | 2 |
Start Page | 209 |
Pagination | 14 |
Date Published | 2006 |
ISSN | 1083-2564 |
AMS | 34K15 |
Abstract | In this paper some new oscillation criteria are obtained for the first order nonlinear differential equation $${ x′ (t) = \sum^{n}_{i=1} p_i(t)f_i(x(σ_0(t)), . . . , x(σ_m(t))), \ \ \ \ \ t ≥ α }$$ 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 ${ t ≥ α, \ x_0x_j > 0, \ \ i = 1, . . . , n, \ \ j = 0, . . . , m.}$ |
URL | http://www.acadsol.eu/en/articles/10/2/9.pdf |
Refereed Designation | Refereed |
Full Text | REFERENCES |