Comparison and oscillation results for delay difference equations with oscillating coefficients.
Yan, Weiping, Yan, Jurang (1996)
International Journal of Mathematics and Mathematical Sciences
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Yan, Weiping, Yan, Jurang (1996)
International Journal of Mathematics and Mathematical Sciences
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Han, Zhenlai, Li, Tongxing, Sun, Shurong, Chen, Weisong (2010)
Advances in Difference Equations [electronic only]
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Li, Tongxing, Han, Zhenlai, Zhao, Ping, Sun, Shurong (2010)
Advances in Difference Equations [electronic only]
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E.M. Elabbasy, S.H. Saker (2003)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Some sufficient conditions for oscillation of a first order nonautonomuous delay differential equation with several positive and negative coefficients are obtained.
Binggen Zhang (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This note contains a criterion for the oscillation of solution of a kind of integro-differential equations with delay.
Binggen Zhang (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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This note contains a criterion for the oscillation of solution of a kind of integro-differential equations with delay.
Wan-Tong Li, S. H. Saker (2001)
Annales Polonici Mathematici
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We consider nonlinear neutral delay differential equations with variable coefficients. Finite and infinite integral conditions for oscillation are obtained. As an example, the neutral delay logistic differential equation is discussed.
J. Džurina (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Our aim in this paper is to present the relationship between property (B) of the third order equation with delay argument y'''(t) - q(t)y(τ(t)) = 0 and the oscillation of the second order delay equation of the form y''(t) + p(t)y(τ(t)) = 0.
Elabbasy, E. M., Hassan, T. S. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 34K15, 34C10. In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equation (x(t) − q(t) x(t − σ(t))) ′ +f(t,x( t − τ(t))) = 0, where σ, τ ∈ C([t0,∞),(0,∞)), q О C([t0,∞), [0,∞)) and f ∈ C([t0,∞) ×R,R). The obtained results extended and improve several of the well known previously results in the literature. Our results are illustrated with an example.
Ireneusz Kubiaczyk, Samir H. Saker (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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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 case. Some examples are considered to illustrate our main results.
Ireneusz Kubiaczyk, Samir H. Saker (2002)
Mathematica Slovaca
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Li, Wei Nian, Cui, Bao Tong, Debnath, Lokenath (2003)
Journal of Applied Mathematics and Stochastic Analysis
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Tripathy, A.K. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bing Liu, Aimin Zhao, Jurang Yan (1997)
Collectanea Mathematica
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In this paper we study two classes of delay partial difference equations with constant coefficients. Explicit necessary and sufficient conditions for the oscillation of the solutions of these equations are obtained.
Tang, Xian-hua, Qiu, De-hua (2006)
Applied Mathematics E-Notes [electronic only]
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