OSCILLATION OF SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS

Martin Bohner; Hassan El-Morshedy; Said Grace; Irena Jadlovská

doi:10.11948/20220484

2023 Volume 13 Issue 5

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Martin Bohner, Hassan El-Morshedy, Said Grace, Irena Jadlovská. OSCILLATION OF SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2646-2658. doi: 10.11948/20220484

Citation:

Martin Bohner, Hassan El-Morshedy, Said Grace, Irena Jadlovská. OSCILLATION OF SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2646-2658. doi: 10.11948/20220484

OSCILLATION OF SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS

1.
Department of Mathematics and Statistics, Missouri S&T, Rolla, MO 65409- 0020, USA
2.
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
3.
Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12000, Egypt
4.
Mathematical Institute, Slovak Academy of Sciences, Greǎákova 6, 040 01 Koǎice, Slovakia

Author Bio: Email: elmorshedy@yahoo.com (H. ElMorshedy); Email: saidgrace@yahoo.com (S. Grace); Email: jadlovska@saske.sk (I. Jadlovská)
Corresponding author: Email: bohner@mst.edu (M. Bohner)

Abstract

Abstract

In this paper, we shall establish some new criteria for the oscillation of certain second-order noncanonical dynamic equations with a sublinear neutral term. This task is accomplished by reducing the involved nonlinear dynamic equation to a second-order linear dynamic inequality. We also establish some new oscillation theorems involving certain integral conditions. Three examples, illustrating our results, are presented. Our results generalize results for corresponding differential and difference equations.
- Half-linear dynamic equation /
- delay /
- second-order /
- noncanonical /
- oscillation
MSC: 34C10, 34K11

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References

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