Geodesic
Sharp estimates for solutions of systems with aftereffect
Algebra i analiz, Tome 20 (2008) no. 2, pp. 43-69.

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Sharp estimates are established for strong solutions of systems of differential-difference equations of both neutral and retarded type. The approach is based on the study of the resolvent corresponding to the generator of the semigroup of shifts along the trajectories of a dynamical system. In the case of neutral type equations, the Riesz basis property of the subsystem of exponential solutions is used.
Keywords: Differential-difference equation, retarded type, neutral type, neutral-neutral type. 
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V. V. Vlasov; S. A. Ivanov. Sharp estimates for solutions of systems with aftereffect. Algebra i analiz, Tome 20 (2008) no. 2, pp. 43-69. http://geodesic.mathdoc.fr/item/AA_2008_20_2_a2/

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