Asymptotic and oscillatory behaviour of solutions of certain second order neutral differential equations with forcing term
Staněk, Svatoslav (1992)
Mathematica Slovaca
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Staněk, Svatoslav (1992)
Mathematica Slovaca
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Jozef Džurina (2001)
Mathematica Slovaca
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Bozena Mihalíková (1999)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The aim of this paper is to present the sufficient conditions for oscillation of solutions of the system of differential equations of neutral type.
Baculíková, B., Džurina, J. (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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D. Bainov, V. Petrov (1996)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Candan, T., Dahiya, R.S. (2004)
International Journal of Mathematics and Mathematical Sciences
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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.
Han, Zhenlai, Li, Tongxing, Sun, Shurong, Chen, Weisong (2010)
Advances in Difference Equations [electronic only]
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