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Kamenev-type oscillation criteria for hyperbolic delay difference equations

100%

Kubiaczyk I. , Saker S. H.

2003

tom Vol. 36, nr 1

113--122

Some new oscillation criteria and discrete Kamenev-type oscillation criteria for hyperbolic nonlinear delay difference equations are obtained.

Oscilltion of solutions to impulsive delay differential equations

100%

Li W. T. , Saker S. H.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2002

tom [Z] 42(1)

63-74

In this paper we shall consider the impulsive delay differential equations with variable coefficients. Some new sufficient conditions for oscillation of all solutions are obtained. Our results extend and improve some well known results in the literature.

Oscillation of parabolic delay differential equations with positive and negative coefficients

100%

Kubiaczyk I. , Saker S. H.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2002

tom [Z] 42(2)

221-236

Some new sufficient conditions for oscillation of the parabolic delay differential equations with positive and negative coefficients are obtained. Our results extend and improve the well known results in the literature.

Oscillation of solutions to nonlinear neutral delay differential equations

100%

Saker S. H. , Kubiaczyk I.

Journal of Applied Analysis

2002

tom Vol. 8, nr 2

261-278

In this paper we shall consider the nonlinear neutral delay differential equations with variable coefficients. Some new sufficient conditions for oscillation of all solutions are obtained. Our results extend and improve some of the well known results in the literature. Some examples are considered to illustrate our main results. The neutral logistic equation with variable coefficients is considered to give some new sufficient conditions for oscillation of all positive solutions about its positive steady state.

New oscillation ciriteria of first order delay differential equations

100%

Kubiaczyk I. , Saker S. H.

2002

tom Vol. 35, nr 2

313-324

In this paper we shall consider the first order delay differential equations with variable coefficients. Some new sufficient conditions for oscillation of all solutions are obtained. Our results based on the analysis of the generalized charachterestic equation. The results partially improve some previously known results in the literature. Some examples are considered to illustrate our main results.