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Content available Oscillation conditions for difference equations with several variable delays
El-Matary Bassant M., El-Morshedy Hassan A., Benekas Vasileios, Stavroulakis Ioannis P.
Opuscula Mathematica
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2023
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Vol. 43, no. 6
789--801
EN
A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non-monotone delays. Moreover, the paper is concluded with an illustrative example to show the applicability and strength of our result.
2
Content available Oscillation criteria for linear difference equations with several variable delays
Benekas Vasileios, Garab Abel, Kashkynbayev Ardak, Stavroulakis Ioannis P.
Opuscula Mathematica
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2021
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Vol. 41, no. 5
613--627
EN
We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by letting the limes inferior be replaced by the limes superior under some additional assumptions related to slow variation. On the other hand, our findings generalize an oscillation criterion recently given for the case of a constant, single delay.
3
Content available Oscillatory results for second-order noncanonical delay differential equations
Dzurina Jozef, Jadlovska Irena, Stavroulakis Ioannis P.
Opuscula Mathematica
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2019
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Vol. 39, no. 4
483--495
EN
The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation [formula] under the condition [formula]. Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.
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