Explicit criteria for the qualitative properties of differential equations with p-Laplacian-like operator

The aim of this work is to study qualitative properties of solutions for a fourth-order neutral nonlinear differential equation, driven by a p -Laplace differential operator. Some oscillation criteria for the equation under study have been obtained by comparison theory. The obtained results improve...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2020; no. 1; pp. 1 - 12
Main Authors Bazighifan, Omar, Aljohani, A. F.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.09.2020
Springer Nature B.V
SpringerOpen
Subjects
4th order
Analysis
Difference and Functional Equations
Functional Analysis
Mathematics
Mathematics and Statistics
Neutral differential equations
Nonlinear differential equations
Operators (mathematics)
Ordinary Differential Equations
Oscillation
p-Laplacian equation
Partial Differential Equations
Neutral differential equations
4th order
34K11
Laplacian equation
34C10
Oscillation
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Summary:The aim of this work is to study qualitative properties of solutions for a fourth-order neutral nonlinear differential equation, driven by a p -Laplace differential operator. Some oscillation criteria for the equation under study have been obtained by comparison theory. The obtained results improve the well-known oscillation results present in the literature. Some examples are provided to show the applicability of the obtained results.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02907-3