Access the full text.
Sign up today, get DeepDyve free for 14 days.
(1950)
The existence of periodic solutions of systems of differential equationsDuke Mathematical Journal, 17
J. Hale (1977)
Theory of Functional Differential Equations
J. Massera, J. Schaffer (1966)
Linear differential equations and function spaces
Differential Equations, Vol. 40, No. 10, 2004, pp. 1367–1372. Translated from Differentsial'nye Uravneniya, Vol. 40, No. 10, 2004, pp. 1299–1304. Original Russian Text Copyright c 2004 by Afanas'ev, Dzyuba. ORDINARY DIFFERENTIAL EQUATIONS Periodic Translation Operators and Quasiperiodic Curves A. P. Afanas'ev and S. M. Dzyuba Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia Tambov State Technical University, Tambov, Russia Received November 24, 2003 1. INTRODUCTION Consider a normal system of ordinary di erential equations, which can be represented in the vector form x _ = f (t;x); (1) 1 n 1 n where x =(x ;:::;x ) is a vector function of a real variable t and f =(f ;:::;f ) is a vector func- i j tion that, together with the partial derivatives @f =@x , i; j =1;:::;n, is de ned and continuous on the Cartesian product R of the real line R by some open subset of the Euclidean vector space R . We assume that f is T -periodic in t. The problem on the existence of periodic solutions of system (1) is very important in theory of di erential equations as well as applications. The following assertion due to Massera
Differential Equations – Springer Journals
Published: Feb 23, 2005
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.