Open AccessStability and Square Integrability of Solutions to third order Neutral Delay Differential Equations
Author(s) -
John R. Graef,
Linda. D. Oudjedi,
Moussadek Remili
Publication year - 2018
Publication title -
tatra mountains mathematical publications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.171
H-Index - 12
eISSN - 1338-9750
pISSN - 1210-3195
DOI - 10.2478/tmmp-2018-0008
Subject(s) - mathematics , delay differential equation , stability (learning theory) , third order , square (algebra) , order (exchange) , zero (linguistics) , differential equation , exponential stability , mathematical analysis , differential (mechanical device) , nonlinear system , geometry , philosophy , linguistics , physics , theology , finance , quantum mechanics , machine learning , aerospace engineering , computer science , engineering , economics
In this paper, sufficient conditions to guarantee the square integrability of all solutions and the asymptotic stability of the zero solution of a non-autonomous third-order neutral delay differential equation are established. An example is given to illustrate the main results.