Oscillation Results for Second Order Neutral Equations with Distributed Deviating Arguments
نویسندگان
چکیده
منابع مشابه
Oscillation of second order neutral equations with distributed deviating argument
Oscillation criteria are established for the second order neutral delay differential equation with distributed deviating argument (r(t) (x(t))Z′(t))′ + ∫ b a q(t, )f [x(g(t, ))] d ( )= 0, t t0, where Z(t)= x(t)+p(t)x(t − ). These results are extensions of the integral averaging techniques due to Coles and Kamenev, and improve some known oscillation criteria in the existing literature. © 2006 El...
متن کاملOscillation of Second-order Quasi-linear Neutral Functional Dynamic Equations with Distributed Deviating Arguments
In this paper, some sufficient conditions for the oscillation of second-order nonlinear neutral functional dynamic equation ( r(t) ( [x(t) + p(t)x[τ(t)]] )γ)∆ + ∫ b a q(t, ξ)x [g(t, ξ)]∆ξ = 0, t ∈ T are established. An example is given to illustrate an application of our results.
متن کاملOscillation Theorems for Even Order Neutral Equations with Continuous Distributed Deviating Arguments
A class of even order neutral equations with continuous distributed deviating arguments [x(t) + ∫ d c p(t, η)x[r(t, η)]dτ(η)] + ∫ b a q(t, ξ)f(x[g(t, ξ)])dσ(ξ) = 0 is considered and its oscillation theorems are discussed. These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria. Particularly, these criteria extend and unify a number o...
متن کاملOscillation behavior of second order nonlinear neutral differential equations with deviating arguments
Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form r(t)ψ(x(t)) ∣z′(t) ∣∣α−1 z′(t) + b ∫ a q(t, ξ)f(x(g(t, ψ)))dσ(ξ) = 0, t ≥ t0, where α > 0 and z(t) = x(t) + p(t)x(t − τ). Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our...
متن کاملSecond-order Differential Equations with Deviating Arguments
where f ∈ C(J ×R×R,R) and α∈ C(J , J) (e.g., αmay be defined by α(t)=√t, T ≥ 1 or α(t)= 0.7t, t ∈ J). Moreover, r and γ are fixed real numbers. Differential equations with deviated arguments arise in a variety of areas of biological, physical, and engineering applications, see, for example, [9, Chapter 2]. The monotone iterative method is useful to obtain approximate solutions of nonlinear diff...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2010
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v2n2p73