|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
Book Information
Author(s):
Jack K. Hale and Sjoerd M. Verduyn Lunel
Title:
Introduction to functional differential equations
Additional book information:
Applied Mathematical Sciences, vol. 99, Springer-Verlag, New York, 1993, x + 447 pp., US$49.00. ISBN 0-387-94706-6
References:
- [D]
- P. Dormayer, An attractivity region for characteristic multipliers of special symmetric solutions of $\overset { \bold .}\to {x}(t)=\alpha f(x(t-1))$, J. Math. Anal. Appl. \textbf{168} (1992), 70--91.
- [H]
- G. E. Hutchinson, \emph{Circular causal systems in ecology}, New York Acad. Sci., New York, 1948 pp.~221--246.
- [KM]
- S. Kakutani and L. Markus, \emph{On the nonlinear difference-differential equation $y'(t)=\mathbreak [A-By(t-\tau )]y(t)$}, Princeton Univ. Press, Princeton, NJ, 1958.
- [L]
- B. Lani-Wayda, Hyperbolic sets, shadowing and persistence for noninvertible mappings in Banach spaces, preprint, Univ. M\"unchen, 1992.
- [MS]
- J. Mallet-Paret and G. Sell, Systems of delay differential equations with discrete Lyapunov functions, preprint, Brown Univ., Providence, RI, 1993.
- [N]
- R. D. Nussbaum, Uniqueness and nonuniqueness for periodic solutions of $x'(t)=\mathbreak -g(x(t-1))$, J. Differential Equations \textbf{34} (1979), 25--54.
- [S]
- R. A. Smith, Poincar\'e-Bendixson theory for certain retarded functional differential equations, Differential Integral Equations \textbf{5} (1992), 213--240.
- [SW]
- H. Steinlein and H. O. Walther, Hyperbolic sets, transversal homoclinic trajectories, and symbolic dynamics for $C^1$-maps in Banach spaces, J. Dynamics Differential Equations \textbf{2} (1992), 325--365.
- [W1]
- H. O. Walther, \emph{Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations}, Amer. Math. Soc., Providence, RI, 1989.
- [W2]
- H. O. Walther, The $2$-dimensional attractor of $x'(t)=-(\mu )x(t)+f(x(t-1))$, Mem. Amer. Math. Soc., vol. 113, no. 544, Amer. Math. Soc., Providence, RI, 1995.
Additional Information:
Reviewer(s):
Hans-Otto
Walther
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
132-136.
DOI:
10.1090/S0273-0979-1995-00551-3
PII:
S 0273-0979(1995)00551-3
|
Comments: webmaster@ams.org