2019
Том 71
№ 11

All Issues

Necessary and sufficient conditions for the absolute instability of solutions of linear differential-difference equations with self-adjoint operator coefficients

Slyusarchuk V. Yu.


Abstract

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 zero solutions.

Citation Example: Slyusarchuk V. Yu. Necessary and sufficient conditions for the absolute instability of solutions of linear differential-difference equations with self-adjoint operator coefficients // Ukr. Mat. Zh. - 2018. - 70, № 5. - pp. 715-724.