Asymptotic behavior of third-order neutral differential equations with distributed deviating arguments
نویسندگان
چکیده
منابع مشابه
Oscillatory and Asymptotic Behavior of Third-order Neutral Differential Equations with Distributed Deviating Arguments
This article concerns the oscillatory and asymptotic properties of solutions of a class of third-order neutral differential equations with distributed deviating arguments. We give sufficient conditions for every solution to be either oscillatory or to converges to zero. The results obtained can easily be extended to more general neutral differential equations and neutral dynamic equations on ti...
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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...
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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...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Computer Science
سال: 2017
ISSN: 2008-949X
DOI: 10.22436/jmcs.017.02.01