Even-Order Delay Differential Equations with <i>p</i>-Laplacian Like Operator: New Oscillation Criteria

As a pivotal branch within the realm of differential equations, the theory of oscillation holds a crucial position in the exploration of natural sciences and the construction of modern control theory Frameworks. In this manuscript, we obtain some oscillatory properties for the noncanonical even-order differential equation with a p-Laplacian-like operator by using comparison with first-order differential inequality. Some examples are discussed to illustrate the effectiveness of our main results.

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Publication Details

Journal
Contemporary Mathematics
Published
2024-12-23
DOI
https://doi.org/10.37256/cm.5420245426
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
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article

Even-Order Delay Differential Equations with p-Laplacian Like Operator: New Oscillation Criteria

Omar Bazighifan, Khalil S. Al-Ghafri, Loredana Florentina Iambor, Anwar Al-Batati
Contemporary Mathematics
Nonlinear Differential Equations Analysis
article

Even-Order Delay Differential Equations with p-Laplacian Like Operator: New Oscillation Criteria

Omar Bazighifan, Khalil S. Al-Ghafri, Loredana Florentina Iambor, Anwar Al-Batati
article en

Abstract

As a pivotal branch within the realm of differential equations, the theory of oscillation holds a crucial position in the exploration of natural sciences and the construction of modern control theory Frameworks. In this manuscript, we obtain some oscillatory properties for the noncanonical even-order differential equation with a p-Laplacian-like operator by using comparison with first-order differential inequality. Some examples are discussed to illustrate the effectiveness of our main results.

Contemporary Mathematics
University of Oradea (RO)
Openalex Percentile: Top 61%
Nonlinear Differential Equations Analysis
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