Open AccessAsymptotic stability of nonlinear integrodifferential equation
Author(s) -
Prebo Clifford Jackreece,
Stephen Ekwueme Aniaku
Publication year - 2018
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v7i2.9592
Subject(s) - mathematics , nonlinear system , exponential stability , lyapunov function , stability (learning theory) , zero (linguistics) , dynamical systems theory , differential equation , mathematical analysis , linguistics , philosophy , physics , quantum mechanics , machine learning , computer science
The investigation of stability for nonlinear dynamical system often related to the construction of Lyapunov functionals. We employ Lyapunov functionals to the system of nonlinear Volterra integro-differential equations of the form and obtain conditions for the asymptotic stability of the zero solution. Also, we give examples to illustrate the obtained results.