2019•SymmetryOpen access

Asymptotic Properties of Solutions of Fourth-Order Delay Differential Equations

Clemente Cesarano, Sandra Pinelas, Faisal Al-Showaikh, Omar Bazighifan

Abstract

In the paper, we study the oscillation of fourth-order delay differential equations, the present authors used a Riccati transformation and the comparison technique for the fourth order delay differential equation, and that was compared with the oscillation of the certain second order differential equation. Our results extend and improve many well-known results for oscillation of solutions to a class of fourth-order delay differential equations. Some examples are also presented to test the strength and applicability of the results obtained.

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Key concepts: Delay differential equation, Oscillation (cell signaling), Differential equation, Mathematics, Order (exchange), Riccati equation, Class (philosophy), Differential (mechanical device)