Oscillation of linear difference equations with deviating arguments
نویسندگان
چکیده
منابع مشابه
Oscillation 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.
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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: Computers & Mathematics with Applications
سال: 2001
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00171-7