IJPAM: Volume 105, No. 4 (2015)
DELAY DIFFERENTIAL EQUATIONS
Saint-Petersburg State University
199034, Universitetskaya nab., 7-9
Abstract. This presentation is devoted to well-known tools of stability theory: Lyapunov functions and functionals. The development of delay equation theory through time based on some results of Russian mathematicians is discussed. In particular, there are two different approaches: one could measure the distance between points in a finite dimension space or between short curve segments (points in a functional space). Some definitions, theorems and examples are presented.
Received: October 13, 2015
AMS Subject Classification: 34K20
Key Words and Phrases: stability of delay systems, Lyapunov functions, instability
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DOI: 10.12732/ijpam.v105i4.21 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 823 - 834