Access the full text.
Sign up today, get DeepDyve free for 14 days.
(1977)
Translated under the title Teoriya funktsional'no-differentsial'nykh uravnenii
J. Hale (1977)
Theory of Functional Differential Equations
(1959)
Nekotorye zadachi teorii ustoichivosti dvizheniya (Certain Problems in the Theory of Stability of Motion), Moscow: Gosudarstv
AS Andreev (2005)
Ustoichivost’ neavtonomnykh funktsional’no-differentsial’nykh uravnenii
(1998)
Localization of Limit Sets and the Asymptotic Stability of Nonautonomous Delay Equations
NN Krasovskii (1959)
Nekotorye zadachi teorii ustoichivosti dvizheniya
(2005)
Ustoichivost’ neavtonomnykh funktsional’no-differentsial’nykh uravnenii (Stability of Nonautonomous Functional-Differential Equations)
(1994)
Nonmonotone Lyapunov Functionals. Conditions for the Stability of Delay Equations, Differ
We obtain new tests for the instability of the trivial solutions of equations with deviating argument. In contrast to earlier-known results, these tests use nonmonotone Lyapunov functionals. The class of such functionals contains Lyapunov-Krasovskii functionals as well as Lyapunov-Razumikhin functions as special cases. By localizing the limit sets of solutions, in a number of instability tests, we have been able to drop the requirement that the derivative of the Lyapunov functional according to the system be negative definite.
Differential Equations – Springer Journals
Published: Jul 15, 2014
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.