The fixed sign property of solutions and stability of linear differential equations with varying distributed delay |
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Authors: | V. V. Malygina T. L. Sabatulina |
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Affiliation: | (1) Perm State Technical University, Komsomol’skii pr. 29a, Perm, 614000, Russia |
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Abstract: | We study one class of linear differential equations with varying distributed delay. We obtain an effective (in terms of parameters of the initial problem) criterion for the positivity of the Cauchy function of this class of equations. Based on this result, we establish effective criteria for the exponential stability of equations under consideration. |
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Keywords: | equations with delay nonoscillation exponential stability Cauchy function |
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