Oscillation of even-order neutral delay differential equations.
Li, Tongxing, Han, Zhenlai, Zhao, Ping, Sun, Shurong (2010)
Advances in Difference Equations [electronic only]
Similarity:
Li, Tongxing, Han, Zhenlai, Zhao, Ping, Sun, Shurong (2010)
Advances in Difference Equations [electronic only]
Similarity:
Tripathy, A.K. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Han, Zhenlai, Li, Tongxing, Sun, Shurong, Chen, Weisong (2010)
Advances in Difference Equations [electronic only]
Similarity:
Han, Zhenlai, Li, Tongxing, Zhang, Chenghui, Sun, Ying (2011)
Abstract and Applied Analysis
Similarity:
Yan, Weiping, Yan, Jurang (1996)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Bing Liu, Aimin Zhao, Jurang Yan (1997)
Collectanea Mathematica
Similarity:
In this paper we study two classes of delay partial difference equations with constant coefficients. Explicit necessary and sufficient conditions for the oscillation of the solutions of these equations are obtained.
Kikina, L.K., Stavroulakis, I.P. (2010)
International Journal of Differential Equations
Similarity:
Ireneusz Kubiaczyk, Samir H. Saker (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
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.
Baculíková, B., Džurina, J. (2010)
Advances in Difference Equations [electronic only]
Similarity:
Elabbasy, E. M., Hassan, T. S. (2008)
Serdica Mathematical Journal
Similarity:
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.
Li, Tongxing, Han, Zhenlai, Zhang, Chenghui, Li, Hua (2011)
Abstract and Applied Analysis
Similarity:
N. Parhi, P. K. Mohanty (1996)
Annales Polonici Mathematici
Similarity:
Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.