Nonlinear Equations of Fourth-Order With p-Laplacian Like Operators: Oscillation, Methods and Applications

Fourth-order differential 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 differential equation, driven by a p-Laplace differential 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 American Mathematical Society. All rights reserved.