Stability of solutions to differential equations with several variable delays. II |
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Authors: | V V Malygina K M Chudinov |
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Institution: | 19489. Perm National Research Polytechnic University, Komsomol’skii pr. 29, Perm, 614990, Russia
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Abstract: | We consider a class of scalar linear differential equations with several variable delays and constant coefficients. We treat coefficients and maximum admissible values of delays as parameters that define a family of equations from the class under consideration. We study domains in the parameter space, where fundamental solutions of all equations of the family are uniformly or exponentially stable and have a fixed sign. We establish explicit necessary and sufficient conditions for the stability and sign-definiteness of the equations family. |
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