Geodesic
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. 
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     title = {Boundedness and finite-time stability for multivalued doubly-nonlinear evolution systems generated by a~microwave heating problem},
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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/