An asymptotic result for some delay difference equations with continuous variable.
Philos, Ch.G., Purnaras, I.K. (2004)
Advances in Difference Equations [electronic only]
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Philos, Ch.G., Purnaras, I.K. (2004)
Advances in Difference Equations [electronic only]
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Lakrib, Mustapha (2000)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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J. Morchało (1997)
Publications de l'Institut Mathématique
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Diblík, J., Khusainov, D.Ya., Šmarda, Z. (2009)
Advances in Difference Equations [electronic only]
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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.
Philos, Ch.G., Purnaras, I.K. (2006)
Advances in Difference Equations [electronic only]
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Alzabut, Jehad O., Abdeljawad, Thabet (2007)
Discrete Dynamics in Nature and Society
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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.
Sokhadze, Z. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Gil', M.I. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Thandapani, E., Pandian, S., Revathi, T. (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 39A10. The oscillatory and nonoscillatory behaviour of solutions of the second order quasi linear neutral delay difference equation Δ(an | Δ(xn+pnxn-τ)|α-1 Δ(xn+pnxn-τ) + qnf(xn-σ)g(Δxn) = 0 where n ∈ N(n0), α > 0, τ, σ are fixed non negative integers, {an}, {pn}, {qn} are real sequences and f and g real valued continuous functions are studied. Our results generalize and improve some known results of neutral delay difference equations. ...