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Abbreviations
- ℕ,ℝ,ℝ+ :
-
denotes the set of integers, real numbers, and non-negative real numbers respectively;
- N |N|:
-
denotes the cardinal number of N. “/||” means the end of a proof
References
BARNEA, D.I.: A Method and New Results for Stability and Instability of Autonomous Functional Differential Equations. SIAM J. appl. Math.17, 681–697 (1969)
BELLMAN, R., COOKE K.L.: Differential-Difference Equations, New York-London: Academic Press 1963
BHATIA, N.P., HAJEK, O.: Local Semi-Dynamical Systems, Berlin-Heidelberg-New York: Springer 1969
EL'SGOL'TS, L.E.: Introduction to the Theory of Differential Equations with Deviating Arguments, San Francisco-London-Amsterdam: Holden-Day 1966
HALE J.: Functional Differential Equations, New York-Heidelberg-Berlin: Springer 1977
LASOTA A., STRAUSS A.: Asymptotic Behavior for Differential Equations Which Cannot be Locally Linearized. J. diff. Equations10, 152–172 (1971)
WALTHER H.-O.: Stability of Attractivity Region for Autonomous Functional Differential Equations. Manuscripta math.15, 349–363 (1975)
YORKE J.A.: Asymptotic Stability for one Dimensional Differential-Delay Equations. J. diff. Equations7, 189–202 (1970)
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Doden, K. Stability and non-linear approximation for y′(t)=−f(y(t−1)). Manuscripta Math 31, 249–268 (1980). https://doi.org/10.1007/BF01303276
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DOI: https://doi.org/10.1007/BF01303276