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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2013 Number 8, Pages 44–56 (Mi ivm8817)

This article is cited in 8 papers

Stability of solutions to differential equations with several variable delays. III

V. V. Malygina, K. M. Chudinov

Chair of Computational Mathematics and Mechanics, Perm National Research Polytechnic University, 29 Komsomol'skii Ave., Perm, 614990 Russia

Abstract: We consider a class of scalar linear differential equations with several variable delays and constant coefficients. We treat the coefficients and maximum admissible values of delays as parameters that define a family of equations of the considered class. Using the necessary and sufficient stability conditions established in preceding papers, we obtain an analytic form and a geometric interpretation of boundaries of stability domains for families of equations with a small number of independent parameters.

Keywords: functional differential equation, variable delay, stability.

UDC: 517.929

Received: 27.03.2012


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:8, 37–48

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