On stability control of a parabolic systems with distributed parameters on the graph
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 368-376

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The work is an attempt to demonstrate the concept of sustainability in the undisturbed state Lyapunov differential system for equations with partial derivatives, and show the ability to use a famous classical results in the studied case.
Keywords: system of parabolic equations, distributed parameters on the graph, initial-boundary value problem, equivalent of Lyapunov stability.
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     author = {A. P. Zhabko and V. V. Provotorov and E. N. Provotorova},
     title = {On stability control of a parabolic systems with distributed parameters on the graph},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {368--376},
     publisher = {mathdoc},
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     number = {123},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a3/}
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A. P. Zhabko; V. V. Provotorov; E. N. Provotorova. On stability control of a parabolic systems with distributed parameters on the graph. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 368-376. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a3/