Oscillation criteria for third-order semi-canonical differential equations with unbounded neutral coefficients-Reference-Cited by-同舟云学术

Oscillation criteria for third-order semi-canonical differential equations with unbounded neutral coefficients

Published:2024-03-15 Issue:1 Volume:69 Page:115-125
ISSN:0252-1938
Container-title:Studia Universitatis Babes-Bolyai Matematica
language:
Short-container-title:Stud. Univ. Babes-Bolyai Math.

Author:

,Saranya Karunamurthy,Piramanantham Veeraraghavan^ORCID, ,Thandapani Ethiraju, ,Tunç Ercan^ORCID,

Abstract

In this paper, we investigate the oscillatory behavior of solutions to a class of third-order differential equations of the form Lz(t) + f (t)yβ (σ(t)) = 0, where Lz(t) = (p(t)(q(t)zt(t))t)t is a semi-canonical operator and z(t) = y(t) + g(t)y(τ (t)). The main idea is to convert the semi-canonical operator into canonical form and then obtain some new sufficient conditions for the oscillation of all solutions. The obtained results essentially improve and complement to the known results. Examples are provided to illustrate the main results. Mathematics Subject Classification (2010): 34C10, 34K11, 34K40. Received 19 September 2021; Accepted 20 January 2022

Publisher

Babes-Bolyai University Cluj-Napoca

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