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Explicit criteria for the qualitative properties of differential equations with \(p\)-Laplacian-like operator. (English) Zbl 1486.34159

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.

MSC:

34K40 Neutral functional-differential equations
34K25 Asymptotic theory of functional-differential equations
34K11 Oscillation theory of functional-differential equations
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