Abstract
We carry out a classification of two-parameter linear autonomous differential systems with delay with respect to the type of boundaries of domains of a D-partition.
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References
- 1.
N. V. Azbelev, V. P. Maksimov, and L. F. Rakhmatullina, Introduction to the Theory of Linear Functional Differential Equations, World Federation Publ., Atlanta (1995).
- 2.
E. N. Gryazina, “On the theory of D-partitions,” Avtomat. Telemekh., 12, 15–28 (2004).
- 3.
A. D. Myshkis, Linear Differential Equations with Delayed Arguments [in Russian], Nauka, Moscow (1972).
- 4.
Yu. I. Neimark, “On the values of parameters for which a system of automatic regulation is stable,” Avtomat. Telemekh., 9, No. 3, 190–203 (1948).
- 5.
Yu. I. Neimark, Dynamical Systems and Controllable Processes [in Russian], Nauka, Moscow (1978).
- 6.
V. A. Trenogin, Functional Analysis [in Russian], Nauka, Moscow (2007).
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 132, Proceedings of International Symposium “Differential Equations–2016,” Perm, 2016.
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Mulyukov, M.V. Classification of Two-Parameter Autonomous Linear Systems with Delay. J Math Sci 230, 724–727 (2018). https://doi.org/10.1007/s10958-018-3777-1
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Keywords and phrases
- system with delay
- method of D-partition
- asymptotic stability
AMS Subject Classification
- 34K06
- 34K20