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Qualitative Property of Third-Order Nonlinear Neutral Distributed-Delay Generalized Difference Equations

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This paper investigates the qualitative property of third-order nonlinear neutral distributed-delay generalized difference equations. By utilizing Philos-type technique and Riccati transformation, some oscillation criteria are presented to ensure that every… Click to show full abstract

This paper investigates the qualitative property of third-order nonlinear neutral distributed-delay generalized difference equations. By utilizing Philos-type technique and Riccati transformation, some oscillation criteria are presented to ensure that every solution of this equation oscillates or converges to zero. To illustrate the significance of our main result, we provide a suitable example.

Keywords: neutral distributed; nonlinear neutral; third order; qualitative property; order nonlinear; property third

Journal Title: Mathematical Problems in Engineering
Year Published: 2021

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