Some new oscillation criteria for second-order hybrid differential equations

Abstract

In this paper, we consider the second order hybrid differential equations. For this class of equations, we establish a new criterion to check whether all solutions of an equation, in this class, oscillate. We prove this criterion, using a generalized Riccati technique and an averaging method. The established oscillatory criteria have a distinct form, from all other relevant criteria, in the literature. We illustrate the validity of our results by means of various examples.

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Keywords

• Oscillation
• Hybrid Differential Equation
• Riccati technique

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