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Exponential decrease of the solutions of linear systems with deviating argument of neutral type. (Russian) Zbl 0712.34081
An exponential estimate is obtained for the solutions of the equation \(\dot x(t)=D\dot x(t-\tau)+Ax(t)+Bx(t-\tau)\) under the assumption that the system with nondeviating arguments \(\dot x(t)=(E-D)^{-1}(A+B)x(t)\) is asymptotically stable.

MSC:
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34A30 Linear ordinary differential equations and systems, general
34C11 Growth and boundedness of solutions to ordinary differential equations
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