najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2026-17-2-165-171najo-1756Research ArticleMATHEMATICSМАТЕМАТИКАOscillation results for second-order delay differential equation with several deviating argumentsРезультаты анализа колебаний для дифференциального уравнения второго порядка с запаздыванием и несколькими отклоняющимися аргументамиhttps://orcid.org/0009-0007-4402-7036АнбарасуП.AnbarasuP.

PG & Research Department of Mathematics

Chennai-600 030 

isomorpanbu@gmail.comhttps://orcid.org/0000-0002-4973-5310СактивелР.SakthivelR.

PG & Research Department of Mathematics 

Chennai-600 030 

varshusakthi@gmail.comPachaiyappa’s CollegeIndia202630042026172165171Copyright © Anbarasu P., Sakthivel R., 20262026Анбарасу П., Сактивел Р.Anbarasu P., Sakthivel R.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1756

The oscillatory behaviour of all solutions to the second-order delay differential equation with several deviating arguments and non negative coefficients is studied. Some sufficient oscillation conditions are obtained. An example is also given to illustrate the significance of our main results.

Исследуется колебательное поведение всех решений дифференциального уравнения второго порядка с запаздыванием, имеющего несколько отклоняющихся аргументов и неотрицательных коэффициентов. Получены некоторые достаточные условия для колебаний. Приведен также пример, иллюстрирующий значимость наших основных результатов.

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The authors declare that there are no conflicts of interest present.