Stability theory and adjoint operators for linear differential-difference equations
HTML articles powered by AMS MathViewer
- by Richard Bellman and Kenneth L. Cooke PDF
- Trans. Amer. Math. Soc. 92 (1959), 470-500 Request permission
References
- Richard Bellman, Stability theory of differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0061235
- 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 N. G. de Bruijn, The difference-differential equation $F’(x) = F(x - 1)\exp (\alpha x + \beta )$, I and II, Indag. Math. vol. 15 (1953) pp. 449-464.
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- 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, DOI 10.1090/S0002-9947-1929-1501516-9
- E. M. Wright, Linear difference-differential equations, Proc. Cambridge Philos. Soc. 44 (1948), 179–185. MR 26230, DOI 10.1017/s0305004100024142
- E. M. Wright, The linear difference-differential equation with constant coefficients, Proc. Roy. Soc. Edinburgh Sect. A 62 (1949), 387–393. MR 31639
- E. M. Wright, The stability of solutions of non-linear difference-differential equations, Proc. Roy. Soc. Edinburgh Sect. A 63 (1950), 18–26. MR 36425
Additional Information
- © Copyright 1959 American Mathematical Society
- 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