Open AccessOscillatory behavior of solutions of certain third-order neutral differential equation with continuously distributed delay
Author(s) -
M. Sathish Kumar,
G. Venkatesan
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1850/1/012091
Subject(s) - order (exchange) , delay differential equation , differential equation , zero (linguistics) , mathematics , third order , stability theory , differential (mechanical device) , mathematical analysis , control theory (sociology) , computer science , physics , control (management) , economics , nonlinear system , law , linguistics , philosophy , finance , quantum mechanics , artificial intelligence , political science , thermodynamics
This paper concerns the oscillatory behavior of the solutions of the third-order neutral differential equation with continuously distributed delay. We prove many new sufficient conditions which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of our theorems are also included.