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-  2019 

Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay

DOI: https://doi.org/10.3390/axioms8020061

Keywords: fourth-order, oscillatory solutions, delay differential equations

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Abstract:

Abstract In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the fourth order delay differential equations. Some new oscillatory criteria are obtained by using the generalized Riccati transformations and comparison technique with first order delay differential equation. Our results extend and improve many well-known results for oscillation of solutions to a class of fourth-order delay differential equations. The effectiveness of the obtained criteria is illustrated via examples

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