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Necessary and Sufficient Conditions for the Absolute Instability of Solutions of Linear Differential-Difference Equations with Self-Adjoint Operator Coefficients

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Ukrainian Mathematical Journal Aims and scope

For linear differential-difference equations of retarded and neutral types with infinitely many deviations and self-adjoint operator coefficients, we present necessary and sufficient conditions for the absolute instability of the trivial solutions.

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Authors and Affiliations

  1. National University of Water Management and Utilization of Natural Resources, Rivne, Ukraine

    V. Yu. Slyusarchuk

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  1. V. Yu. Slyusarchuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 5, pp. 715–724, May, 2018.

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Slyusarchuk, V.Y. Necessary and Sufficient Conditions for the Absolute Instability of Solutions of Linear Differential-Difference Equations with Self-Adjoint Operator Coefficients. Ukr Math J 70, 826–836 (2018). https://doi.org/10.1007/s11253-018-1536-6

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  • DOI: https://doi.org/10.1007/s11253-018-1536-6

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