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Oscillation criteria for a class of nonlinear fourth order neutral differential equations

In: Mathematica Slovaca, vol. 63, no. 2
A. K. Tripathy
Detaily:
Rok, strany: 2013, 243 - 262
Kľúčové slová:
oscillation, non-oscillation, nonlinear, neutral mixed differential equations
O článku:
In this paper, sufficient conditions are obtained for oscillation of a class of nonlinear fourth order mixed neutral differential equations of the form

$$(((1) / (a(t)))((y(t)+p(t)y(t-τ))'')α)''= q(t)f(y(t-σ1))+r(t)g(y(t+σ2))\eqno{(E)}$$

under the assumption

$$\int0(a(t))((1) / (α)) dt =∞. $$

where $α$ is a ratio of odd positive integers. (E) is studied for various ranges of $p(t)$.
Ako citovať:
ISO 690:
Tripathy, . 2013. Oscillation criteria for a class of nonlinear fourth order neutral differential equations. In Mathematica Slovaca, vol. 63, no.2, pp. 243-262. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0096-8

APA:
Tripathy, . (2013). Oscillation criteria for a class of nonlinear fourth order neutral differential equations. Mathematica Slovaca, 63(2), 243-262. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0096-8
O vydaní:
Publikované: 1. 4. 2013