Nonlinear neutral differential equations of second-order: Oscillatory properties

Nonlinear neutral differential equations of second-order: Oscillatory properties

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This paper investigates the oscillatory behavior of second-order differential equations featuring a mixed neutral term along with a gotrax handlebar $ p $-Laplace differential operator.The analysis employs Riccati transformations and includes a comparative study with first-order equations, which facilitates the development of oscillation criteria.The findings culminate in a significant theorem that addresses the oscillation properties of these equations.In addition, two illustrative examples are presented to click here demonstrate the practical application of the established criteria.