On the exact boundaries of the stability domain of linear differential equations with distributed delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2008), pp. 19-28
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For a differential equation with a distributed varying delay, sufficient criterions of asymptotic and uniform stability of solutions are obtained. The constructed examples demonstrate exactness of the boundary of the obtained stability domain.
Keywords:
functional differential equations, distributed delay, stability.
@article{IVM_2008_7_a2,
author = {V. V. Malygina},
title = {On the exact boundaries of the stability domain of linear differential equations with distributed delay},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {19--28},
publisher = {mathdoc},
number = {7},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2008_7_a2/}
}
TY - JOUR AU - V. V. Malygina TI - On the exact boundaries of the stability domain of linear differential equations with distributed delay JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2008 SP - 19 EP - 28 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2008_7_a2/ LA - ru ID - IVM_2008_7_a2 ER -
V. V. Malygina. On the exact boundaries of the stability domain of linear differential equations with distributed delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2008), pp. 19-28. http://geodesic.mathdoc.fr/item/IVM_2008_7_a2/