Oscillation of Nonlinear First Order Neutral Differential Equations
نویسندگان
چکیده
منابع مشابه
Oscillation properties of nonlinear neutral differential equations of nth order
We consider the nonlinear neutral functional differential equation [r (t)[x(t) + b a p(t, µ)x(τ(t, µ))dµ] (n−1) ] + δ d c q(t, ξ)f (x(σ (t, ξ)))dξ = 0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions. have studied the oscillation theory of second-order and higher-order neutral functional differential equations, in which the highest-order derivati...
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Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear ...
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The oscillation criteria are investigated for all solutions of second order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature see ( [14] theorem 3.2.1 and theorem 3.2.2 pp.385-388). Some examples are given to illustrate our main results.
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With the development of modern society, research on properties of ordinary differential equation is becoming one of the hotspots in mathematical field. Neutral differential equation which is usually generated in natural science and engineering field is always extensively concerned by many scientific researchers for it can effectively describe multiple complex phenomena in natural world. In rece...
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In this paper, some sufficient conditions are established for the oscillation of second-order neutral functional differential equation [ r(t)[x(t)+ p(t)x(τ(t))]′ ]′+q(t) f (x(σ(t))) = 0, t ≥ t0, where ∫ ∞ t0 dt/r(t) = ∞, or ∫ ∞ t0 dt/r(t) < ∞, 0 ≤ p(t) ≤ p0 < ∞. The results obtained here complement and improve some known results in the literature. 2010 Mathematics Subject Classification: 39A21,...
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ژورنال
عنوان ژورنال: Baghdad Science Journal
سال: 2007
ISSN: 2411-7986,2078-8665
DOI: 10.21123/bsj.4.3.485-490