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.
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Original Russian Text © V.V. Malygina and K.M. Chudinov, 2013, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, No. 8, pp. 44–56.
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Malygina, V.V., Chudinov, K.M. Stability of solutions to differential equations with several variable delays. III. Russ Math. 57, 37–48 (2013). https://doi.org/10.3103/S1066369X13080057
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DOI: https://doi.org/10.3103/S1066369X13080057