For linear functional-differential equations of retarded and neutral types with infinitely many deviations and self-adjoint operator coefficients, we establish necessary and sufficient conditions for the absolute instability of the trivial solutions.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 11, pp. 1570–1578, November, 2019.
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Slyusarchuk, V.Y. Linear Functional-Differential Equations with Absolutely Unstable Solutions. Ukr Math J 71, 1802–1812 (2020). https://doi.org/10.1007/s11253-020-01748-3
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DOI: https://doi.org/10.1007/s11253-020-01748-3