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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George E. Chatzarakis, Ponnuraj Dinakar, Srinivasan Selvarangam, Ethiraju Thandapani (2022)
Mathematica Bohemica
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We obtain some new sufficient conditions for the oscillation of the solutions of the second-order quasilinear difference equations with delay and advanced neutral terms. The results established in this paper are applicable to equations whose neutral coefficients are unbounded. Thus, the results obtained here are new and complement some known results reported in the literature. Examples are also given to illustrate the applicability and strength of the obtained conditions over the known...