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Book Review
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Book Information
Author(s):
G. St\'ep\'an
Title:
Retarded dynamical systems: stability and
characteristic functions
Additional book information:
Longman Scientific \& Technical, Pitman Research Notes in Mathematics Series, no. 210, 1989, 151 pp; US$32.00. ISBN 0-582-03932-0
References:
- [1]
- R. Bellman and K. L. Cooke, Differential-difference equations, Academic Press, New York, 1963.
- [2]
- K. L. Cooke and P. van den Driessche, On zeroes of some transcendental equations, Funkcialaj Ekvacioj \textbf{29} (1986), 77--90.
- [3]
- L. E. El$^\prime $sgol$^\prime $ts and S. B. Norkin, Introduction to the theory and application of differential equations with deviating arguments, Academic Press, New York and London, 1973.
- [4]
- J. K. Hale, Theory of functional differential equations, Springer-Verlag, New York-Heidelberg-Berlin, 1977.
- [5]
- B. D. Hassard, N. D. Kazarinoff, and Y. H. Wan, Theory and applications of Hopf bifurcations, London Mathematical Society Lecture Note Series no. 41, Cambridge Univ. Press, Cambridge, 1981.
- [6]
- V. B. Kolmanovski\u \i and V. R. Nosov, Stabililty of functional differential equations, Academic Press, London and Orlando, 1986.
- [7]
- N. N. Krasovski\u \i, Stability of motion, Stanford Univ. Press, Stanford, CA., 1963 (translated by J. L. Brenner).
- [8]
- N. MacDonald, Biological delay systems$:$ linear stability theory, Cambridge Univ. Press, Cambridge, 1989.
- [9]
- A. D. Myshkis, General theory of differential equations with delay, Amer. Math. Soc. Transl. {\bf 55} (1951), pp.~1--62.
- [10]
- L. S. Pontrjagin, On the zeros of some elementary transcendental functions, Amer. Math. Soc. Transl., (2) {\bf 1} (1955), pp.~95--110.
- [11]
- H. W. Stech, Hopf bifurcation calculations for functional differential equations, J. Math. Anal. Appl. \textbf{109} (1985), 472--491.
- [12]
- T. Yoshizawa, Stability theory by Liapunov's second method, Publications of the Mathematical Society of Japan, no. 9, Tokyo, 1966.
Additional Information:
Reviewer(s):
Kenneth L.
Cooke
Review Information:
Journal:
Bull. Amer. Math. Soc.
26
(1992),
175-179.
DOI:
10.1090/S0273-0979-1992-00249-5
PII:
S 0273-0979(1992)00249-5
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