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Visn. Nac. Akad. Nauk Ukr. 2017. (1): 89-97
https://doi.org/10.15407/visn2017.01.089

O.O. Pokutnyi
Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv

THE THEORY OF BOUNDARY VALUE PROBLEMS OF OPERATOR-DIFFERENTIAL EQUATIONS
According to the materials of scientific report at the meeting of the Presidium of NAS of Ukraine, November 9, 2016

The report is devoted to investigation of boundary value problems and its applications. Proposed new models of quantuum mechanics in the Hilbert space which connect with the theory of irreversible process. One of applications of the considered problem is Van der Paul equation in the Hilbert space. Such model is widely used in the biology, neural system and others applications.

Keywords: chaos, Hilbert’s problem, Van der Paul equation, Moore–Penrose pseudoinvertible operators, neural models.

Language of article: ukrainian

 

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