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1
Content available remote Opial and Pólya type inequalities via convexity
Saker S. H., Abdou D. M., Kubiaczyk I.
Fasciculi Mathematici
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2018
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Nr 60
145--159
EN
In this paper, we prove some new dynamic inequalities related to Opial and Pólya type inequalities on a time scale T. We will derive the integral and discrete inequalities of Polya’s type as special cases and also derive several classical integral inequalities of Opial’s type that has been obtained in the literature as special cases. The main results will be proved by using the chain rule, Hölder’s inequality and Jensen’s inequality, Taylor formula on time scales.
2
Content available remote Oscillation and asymptotic behavior of second-order nonlinear difference equations
Kubiaczyk I., Saker S. H.
Fasciculi Mathematici
|
2004
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Nr 34
39-54
EN
In this paper we will study the oscillatory and asymptotic behavior of solutions of second-order nonlinear difference equation formula where y > 0 is a quotient of odd positive integers.
3
Content available remote Kamenev-type oscillation criteria for hyperbolic delay difference equations
Kubiaczyk I., Saker S. H.
Demonstratio Mathematica
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2003
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Vol. 36, nr 1
113--122
EN
Some new oscillation criteria and discrete Kamenev-type oscillation criteria for hyperbolic nonlinear delay difference equations are obtained.
4
Oscillation of solutions to nonlinear neutral delay differential equations
Saker S. H., Kubiaczyk I.
Journal of Applied Analysis
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2002
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Vol. 8, nr 2
261-278
EN
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.
5
Content available remote Oscillation of parabolic delay differential equations
Kubiaczyk I., Saker S. H.
Demonstratio Mathematica
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2002
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Vol. 35, nr 4
791-802
EN
Some new sufficient conditions for oscillation of all solutions of parabolic delay differential equations with several positive and negative coefficients are obtained. Our results extend and improve the well known results in the literature.
6
Content available remote New oscillation ciriteria of first order delay differential equations
Kubiaczyk I., Saker S. H.
Demonstratio Mathematica
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2002
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Vol. 35, nr 2
313-324
EN
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.
7
Content available remote Oscilltion of solutions to impulsive delay differential equations
Li W. T., Saker S. H.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2002
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[Z] 42(1)
63-74
EN
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.
8
Content available remote Oscillation of parabolic delay differential equations with positive and negative coefficients
Kubiaczyk I., Saker S.H.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2002
|
[Z] 42(2)
221-236
EN
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.
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