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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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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:

Bibliography

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G. E. Hutchinson, Circular causal systems in ecology, Ann. New York Acad. Sci., vol. 50, New York Acad. Sci., New York, 1948, pp. 221-246.

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S. Kakutani and L. Markus, On the nonlinear difference-differential equation $ y'(t) = [A - By(t - \tau             )]y(t)$, Contributions to the Theory of Nonlinear Oscillations IV, Princeton Univ. Press, Princeton, NJ, 1958. MR 0101953 (21:755)

[L]
B. Lani-Wayda, Hyperbolic sets, shadowing and persistence for noninvertible mappings in Banach spaces, preprint, Univ. München, 1992. MR 1471208 (98i:58181)

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J. Mallet-Paret and G. Sell, Systems of delay differential equations with discrete Lyapunov functions, preprint, Brown Univ., Providence, RI, 1993.

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R. D. Nussbaum, Uniqueness and nonuniqueness for periodic solutions of $ x'(t) = - g(x(t - 1))$, J. Differential Equations 34 (1979), 25-54. MR 549582 (81f:34073)

[S]
R. A. Smith, Poincaré-Bendixson theory for certain retarded functional differential equations, Differential Integral Equations 5 (1992), 213-240. MR 1141738 (93f:34128)

[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 2 (1992), 325-365. MR 1066620 (92b:58170)

[Wl]
H. O. Walther, Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations, Mem. Amer. Math. Soc., vol. 79, no. 402, Amer. Math. Soc., Providence, RI, 1989. MR 979430 (90m:58184)

[W2]
-, 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 (to appear). MR 1230775 (95f:58070)


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




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