This article is cited in 1 paper

Asymptotic behavior of solutions of delay equations in Hilbert spaces

D. A. Medvedev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We establish unimprovable estimates of solutions of inhomogeneous delay differential-difference equations, the coefficients of which are unbounded operators and operator-functions acting in a Hilbert space. We also present results about expansions of those solutions into a sum of a (finite) linear combination of exponential solutions for the homogeneous equation and a function with a smaller power of the exponential growth.

UDC: 517.929

 English version: Journal of Mathematical Sciences, 2008, 153:5, 551–561

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