Abstract

This paper is devoted to the study of oscillatory behavior of solutions of nonlinear neutral hyperbolic equations with functional arguments by using the integral averaging method and generalized Riccati techniques. First, we establish oscillation results for nonlinear neutral hyperbolic equations by reducing the multidimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities. Second, we present oscillation results for nonlinear neutral hyperbolic equations by utilizing Riccati techniques.

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