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Stability with respect to the delay: On a paper of K. L. Cooke and P. van den Driessche. (English) Zbl 0918.34071

A proposal for the correction of the main result of the title’s paper is made [K. L. Cooke and P. van den Driessche, Funkcial. Ekvac, 29, 77-90 (1986; Zbl 0603.34069)]. Some accompanying comments on other points are given. A simpler central result is derived. An explicit representation of the set of stable delays is achieved. \(\copyright\) Academic Press.

MSC:

34K20 Stability theory of functional-differential equations

Citations:

Zbl 0603.34069
Full Text: DOI

References:

[1] Boese, F. G., Delay-independent stability of a special sequence of neutral difference-differential equations, J. Differential Equations, 90, 397-407 (1991) · Zbl 0729.34063
[2] Boese, F. G., Complicated stability charts for difference-differential equations with constant coefficients and one constant delay, Z. Angew. Math. Mech., 71, T147-T150 (1991)
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[5] Cooke, K. L.; van den Driessche, P., On the zeroes of some transcendental equations, Funkcial. Ekvac., 29, 77-90 (1986) · Zbl 0603.34069
[6] Lee, M. S.; Hsu, C. S., On the τ-decomposition method of stability analysis, SIAM J. Control, 7, 242-259 (1969) · Zbl 0182.12701
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