Boundedness and finite-time stability for multivalued doubly-nonlinear evolution systems generated by a~microwave heating problem
Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 64 (2018) no. 1, pp. 148-163
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Doubly-nonlinear evolutionary systems are considered. Sufficient conditions of the boundedness of solutions of such systems are derived. Analogical results for a one-dimensional microwave heating problem are proved. The notions of global process and of a local multivalued process are introduced. Sufficient conditions for the finite-time stability of a global process and of a local multivalued process are shown. For local multivalued processes sufficient conditions for the finite-time instability are derived. For the one-dimensional microwave heating problem conditions of the finite-time stability are shown.
@article{CMFD_2018_64_1_a8,
author = {S. Popov and V. Reitmann and S. Skopinov},
title = {Boundedness and finite-time stability for multivalued doubly-nonlinear evolution systems generated by a~microwave heating problem},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {148--163},
publisher = {mathdoc},
volume = {64},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a8/}
}
TY - JOUR AU - S. Popov AU - V. Reitmann AU - S. Skopinov TI - Boundedness and finite-time stability for multivalued doubly-nonlinear evolution systems generated by a~microwave heating problem JO - Contemporary Mathematics. Fundamental Directions PY - 2018 SP - 148 EP - 163 VL - 64 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a8/ LA - ru ID - CMFD_2018_64_1_a8 ER -
%0 Journal Article %A S. Popov %A V. Reitmann %A S. Skopinov %T Boundedness and finite-time stability for multivalued doubly-nonlinear evolution systems generated by a~microwave heating problem %J Contemporary Mathematics. Fundamental Directions %D 2018 %P 148-163 %V 64 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a8/ %G ru %F CMFD_2018_64_1_a8
S. Popov; V. Reitmann; S. Skopinov. Boundedness and finite-time stability for multivalued doubly-nonlinear evolution systems generated by a~microwave heating problem. Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 64 (2018) no. 1, pp. 148-163. http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a8/