Oscillatory solutions of fourth order advanced trinomial differential equations

Jozef Dzurina, Blanka Baculikova and Irena Jadlovska

Mathematische Nachrichten, 2020, vol. 293, issue 6, 1110-1119

Abstract: The paper deals with the oscillatory behavior of the fourth‐order linear three‐terms advanced differential equation of the form y(4)(t)+p(t)y′(t)+q(t)y(σ(t))=0.Assuming that all solutions of the auxiliary third‐order differential equation z′′′(t)+p(t)z(t)=0are nonoscillatory, two types of easily verifiable oscillation criteria for the studied equation are established. The obtained results are illustrated by two examples.

Date: 2020
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https://doi.org/10.1002/mana.201800515

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