Oscillation of third order differential equation with damping term

Bartušek, Miroslav; Došlá, Zuzana

doi:10.1007/s10587-015-0176-3

Cited by 6 publications

(2 citation statements)

References 21 publications

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“…In contrast, the oscillation behavior of even-order equations has been examined, as documented in [14][15][16]. Furthermore, the dynamics of damping equations have been explored, as indicated in [17,18].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic and Oscillatory Analysis of Fourth-Order Nonlinear Differential Equations with p-Laplacian-like Operators and Neutral Delay Arguments

Alatwi,

Moaaz,

Albalawi

et al. 2024

Mathematics

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This paper delves into the asymptotic and oscillatory behavior of all classes of solutions of fourth-order nonlinear neutral delay differential equations in the noncanonical form with damping terms. This research aims to improve the relationships between the solutions of these equations and their corresponding functions and derivatives. By refining these relationships, we unveil new insights into the asymptotic properties governing these solutions. These insights lead to the establishment of improved conditions that ensure the nonexistence of any positive solutions to the studied equation, thus obtaining improved oscillation criteria. In light of the broader context, our findings extend and build upon the existing literature in the field of neutral differential equations. To emphasize the importance of the results and their applicability, this paper concludes with some examples.

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Section: Introductionmentioning

confidence: 99%

Asymptotic and Oscillatory Analysis of Fourth-Order Nonlinear Differential Equations with p-Laplacian-like Operators and Neutral Delay Arguments

Alatwi,

Moaaz,

Albalawi

et al. 2024

Mathematics

View full text Add to dashboard Cite

show abstract

“…The Kneser-type problems have been studied during last 120 years in detail, from the recent papers dealing with this topic, let us mention e.g. [10], [26], [27]. In the mentioned publications various generalizations of classical results have been obtained, including delay differential equations or differential equations with regularly varying coefficients.…”

Section: Introductionmentioning

confidence: 99%