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- Title
Smoothness of Solutions to the Damping Problem for Nonstationary Control System with Delay of Neutral Type on the Whole Interval.
- Authors
Adkhamova, A. Sh.
- Abstract
We consider the damping problem for a nonstationary control system described by a system of differential-difference equations of neutral type with smooth matrix coefficients and several delays. This problem is equivalent to the boundary-value problem for a system of second-order differential-difference equations, which has a unique generalized solution. It is proved that the smoothness of this solution can be violated on the considered interval and is preserved only on some subintervals. Sufficient conditions for the initial function are obtained to ensure the smoothness of the generalized solution over the entire interval.
- Subjects
DIFFERENTIAL-difference equations; BOUNDARY value problems
- Publication
Journal of Mathematical Sciences, 2024, Vol 278, Issue 4, p570
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-06940-5