Behavior of Solutions of Nonlinear Functional Volterra Integro-Differential Equations With Multiple Delays
No Thumbnail Available
Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Dynamic Publishers, inc
Abstract
The authors consider the nonlinear functional Volterra integro-differential equation with multiple delays x'(t) = -a(t)x(t) + Sigma(n)(i=1) integral(t)(t-tau i) b(i)(t,s)f(i)(x(s))ds. They give sufficient conditions so that solutions are bounded, belong to L-1, or belong to L-2. They also prove the stability and global asymptotic stability of the zero solution. Their technique of proof involves defining appropriate Lyapunov functionals.
Description
Tunc, Cemil/0000-0003-2909-8753
ORCID
Keywords
Turkish CoHE Thesis Center URL
WoS Q
N/A
Scopus Q
N/A
Source
Volume
25
Issue
1-2
Start Page
39
End Page
46