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Some notes on one oscillatory condition of neutral differential equations

Božena Mihalíková, Eva Chomová (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equations of the form (r(t)(x(t) - px(t-τ))')' - q(t)f(x(σ(t))) = 0 to be oscillatory and to compare some existing results.

Some oscillation criteria for the second-order linear delay differential equation

Zdeněk Opluštil, Jiří Šremr (2011)

Mathematica Bohemica

Some Wintner and Nehari type oscillation criteria are established for the second-order linear delay differential equation.

Some properties of neutral differential systems equations

Božena Mihalíková (2002)

Bollettino dell'Unione Matematica Italiana

We study oscillatory properties of solutions of the system of differential equations of neutral type.

Some properties of solutions of systems of neutral differential equations.

Mihály, Tomáš (2006)

Annales Mathematicae et Informaticae

Sufficient and necessary conditions for oscillation of $n$ th-order differential equation with retarded argument.

Cheng, Jin-Fa, Chu, Yu-Ming (2009)

Journal of Inequalities and Applications [electronic only]

Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument

D. Bainov, M. Dimitrova (1996)

Applicationes Mathematicae

Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.

Sufficient conditions for oscillations of all solutions of a class of impulsive differential equations with deviating argument.

Bainov, D.D., Dimitrova, M.B. (1996)

Journal of Applied Mathematics and Stochastic Analysis

Sufficient conditions for oscillatory behaviour of a first order neutral difference equation with oscillating coefficients.

Rath, R.N., Misra, N., Rath, S.K. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Sufficient conditions for the oscillation of the solutions to a class of impulsive differential equations with advanced argument.

Bainov, Drumi D., Dimitrova, Margarita B., Simenov, Pavel S. (1996)

Publications de l'Institut Mathématique. Nouvelle Série

Sufficient conditions for the oscillation to bounded solutions of a class of impulsive differential equations of second order with a constant delay.

Bainov, D.D., Dimitrova, M.B. (1999)

Georgian Mathematical Journal

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