Stability theory and adjoint operators for linear differential-difference equations

Authors:
Richard Bellman and Kenneth L. Cooke

Journal:
Trans. Amer. Math. Soc. **92** (1959), 470-500

MSC:
Primary 34.00

DOI:
https://doi.org/10.1090/S0002-9947-1959-0107742-7

MathSciNet review:
0107742

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References | Similar Articles | Additional Information

**[1]**Richard Bellman,*Stability theory of differential equations*, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953. MR**0061235****[2]**Richard Bellman,*A survey of the mathematical theory of time-lag, retarded control, and hereditary processes*, The Rand Corporation, Santa Monica, Calif., 1954. With the assistance of John M. Danskin, Jr. MR**0062327****[3]**N. G. de Bruijn,*The difference-differential equation*, I and II, Indag. Math. vol. 15 (1953) pp. 449-464.**[4]**Earl A. Coddington and Norman Levinson,*Theory of ordinary differential equations*, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955. MR**0069338****[5]**Rudolph E. Langer,*The asymptotic location of the roots of a certain transcendental equation*, Trans. Amer. Math. Soc.**31**(1929), no. 4, 837–844. MR**1501516**, https://doi.org/10.1090/S0002-9947-1929-1501516-9**[6]**E. M. Wright,*Linear difference-differential equations*, Proc. Cambridge Philos. Soc.**44**(1948), 179–185. MR**0026230****[7]**E. M. Wright,*The linear difference-differential equation with constant coefficients*, Proc. Roy. Soc. Edinburgh. Sect. A.**62**(1949), 387–393. MR**0031639****[8]**E. M. Wright,*The stability of solutions of non-linear difference-differential equations*, Proc. Roy. Soc. Edinburgh. Sect. A.**63**(1950), 18–26. MR**0036425**

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DOI:
https://doi.org/10.1090/S0002-9947-1959-0107742-7

Article copyright:
© Copyright 1959
American Mathematical Society