Hybrid integral-differential-difference dynamic systems in symmetric form with memory loss
Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 113-125
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We study linear nonstationary dynamical systems described by mixed integral-differential and integral-difference equations whose kernels are finite functions. For such systems, a generalized Cauchy formula is obtained for the integral representation of solutions based on the solutions of the corresponding adjoint systems. The results are refined in the stationary case.
@article{TIMB_2021_29_1_a10,
author = {V. M. Marchenko},
title = {Hybrid integral-differential-difference dynamic systems in symmetric form with memory loss},
journal = {Trudy Instituta matematiki},
pages = {113--125},
publisher = {mathdoc},
volume = {29},
number = {1},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a10/}
}
TY - JOUR AU - V. M. Marchenko TI - Hybrid integral-differential-difference dynamic systems in symmetric form with memory loss JO - Trudy Instituta matematiki PY - 2021 SP - 113 EP - 125 VL - 29 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a10/ LA - ru ID - TIMB_2021_29_1_a10 ER -
V. M. Marchenko. Hybrid integral-differential-difference dynamic systems in symmetric form with memory loss. Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 113-125. http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a10/