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,… Click to show full 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.
Keywords:
oscillatory solutions;
order;
fourth order;
advanced trinomial;
order advanced;
solutions fourth
Journal Title: Mathematische Nachrichten
Year Published: 2020
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Journal Title: Mathematische Nachrichten
Year Published: 2020
Link to full text (if available)
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recommendations!