New oscillation criteria for second-order neutral delay differential equations with positive and negative coefficients.
Bai, Yuzhen, Liu, Lihua (2010)
Abstract and Applied Analysis
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Bai, Yuzhen, Liu, Lihua (2010)
Abstract and Applied Analysis
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Ireneusz Kubiaczyk, Samir H. Saker (2002)
Mathematica Slovaca
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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.
Georgiou, D.A., Qian, C. (1991)
International Journal of Mathematics and Mathematical Sciences
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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.
Lakrib, Mustapha (2001)
Mathematica Pannonica
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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.