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Elabbasy, E., Hassan, T. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 34K15. This paper is concerned with the oscillatory behavior of first-order delay differential equation of the form x'(t) + p(t)x (τ(t)) = 0.
Ireneusz Kubiaczyk, Samir H. Saker (2002)
Mathematica Slovaca
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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.
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.
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.
Stavroulakis, Ioannis P. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
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.
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...
Li, Wei Nian, Cui, Bao Tong, Debnath, Lokenath (2003)
Journal of Applied Mathematics and Stochastic Analysis
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