Fourth-order dierential equations appear in physical applications (such as fluid dynamics, electromagnetism, quantum mechanics). The aim of this work is to study oscillatory behavior of solutions for a fourth-order neutral nonlinear dierential equation, driven by a p-Laplace dierential operator. Some oscillation criteria for the understudy equation have been obtained by the theory of comparison. The obtained results improved the well-known oscillation results presented in the literature. An example is illustrated to show the applicability of the obtained results.

Nonlinear equations of fourth-order with p-Laplacian like operator: Oscillation, methods and applications

M. A. Ragusa
2022-01-01

Abstract

Fourth-order dierential equations appear in physical applications (such as fluid dynamics, electromagnetism, quantum mechanics). The aim of this work is to study oscillatory behavior of solutions for a fourth-order neutral nonlinear dierential equation, driven by a p-Laplace dierential operator. Some oscillation criteria for the understudy equation have been obtained by the theory of comparison. The obtained results improved the well-known oscillation results presented in the literature. An example is illustrated to show the applicability of the obtained results.
2022
p-Laplacian, nonlinear equations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/461466
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