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Conditions for the absolute instability of solutions of differential-difference equations

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Nonlinear Oscillations

Abstract

Conditions for the absolute instability of solutions of differential-difference equations are established.

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REFERENCES

  1. G. M. Fikhtengol’ts, A Course of Differential and Integral Calculus [in Russian], Vol. 2, Nauka, Moscow (1966).

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  2. V. Yu. Slyusarchuk, Stability of Solutions of Difference Equations in a Banach Space [in Ukrainian], National University of Water Management and Nature Resources Application, Rivne (2003).

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  3. V. Yu. Slyusarchuk, Absolute Stability of Dynamical Systems with Aftereffect [in Ukrainian], National University of Water Management and Nature Resources Application, Rivne (2003).

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Translated from Neliniini Kolyvannya, Vol. 7, No. 3, pp. 430–436, July–September, 2004.

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Slyusarchuk, V.Y. Conditions for the absolute instability of solutions of differential-difference equations. Nonlinear Oscill 7, 418–424 (2004). https://doi.org/10.1007/s11072-005-0021-y

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  • DOI: https://doi.org/10.1007/s11072-005-0021-y

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