Oscillation and non-oscillation criteria for second order linear nonhomogeneous functional-differential equations

G. A. Grigoryan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan

Abstract: The Riccati equation method is used to establish oscillation and non-oscillation criteria for second order linear nonhomogeneous functional-differential equations. We show that the obtained oscillation criterion is a generalization of J. S. W. Wong's oscillation criterion for second order linear nonhomogeneous ordinary differential equations. Two examples, demonstrating the aptitude of the obtained criteria, are presented.

Keywords: Riccati equations, functional-differential equations, oscillation, interval oscillation, non-oscillation.

MSC: 34K06

Received: 27.06.2025
Revised: 12.08.2025
Accepted: 18.08.2025

Language: English

DOI: 10.21538/0134-4889-2025-31-4-106-114

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