Oscillation theorems for higher order dynamic equations with superlinear neutral term

Said R. Grace; Jehad Alzabut; Kamaleldin Abodayeh; Said R. Grace; Jehad Alzabut; Kamaleldin Abodayeh

doi:10.3934/math.2021325

AIMS Mathematics

2021, Volume 6, Issue 6: 5493-5501. doi: 10.3934/math.2021325

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Research article

Oscillation theorems for higher order dynamic equations with superlinear neutral term

1.
Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Giza 12221, Egypt
2.
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Received: 11 November 2020 Accepted: 09 March 2021 Published: 17 March 2021
MSC : 34N05, 39A10

In this paper, several oscillation criteria for a class of higher order dynamic equations with superlinear neutral term are established. The proposed results provide a unified platform that adequately covers both discrete and continuous equations and further sufficiently comments on oscillatory behavior of more general class of equations than the ones reported in the literature. We conclude the paper by demonstrating illustrative examples.
- oscillation criteria,
- superlinear neutral term,
- higher order dynamic equations
Citation: Said R. Grace, Jehad Alzabut, Kamaleldin Abodayeh. Oscillation theorems for higher order dynamic equations with superlinear neutral term[J]. AIMS Mathematics, 2021, 6(6): 5493-5501. doi: 10.3934/math.2021325

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Abstract

In this paper, several oscillation criteria for a class of higher order dynamic equations with superlinear neutral term are established. The proposed results provide a unified platform that adequately covers both discrete and continuous equations and further sufficiently comments on oscillatory behavior of more general class of equations than the ones reported in the literature. We conclude the paper by demonstrating illustrative examples.

References

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