Yu. E. Anikonov, N. B. Ayupova, M. V. Neshchadim, “Some representations of solutions to Blokhintsev equation”, Sib. Èlektron. Mat. Izv., 2020, Volume 17,Pages <nobr>1697

Differentical equations, dynamical systems and optimal control

Some representations of solutions to Blokhintsev equation

Yu. E. Anikonov^a, N. B. Ayupova^ab, M. V. Neshchadim^ab

^a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
^b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia

Abstract: In the paper, we obtain some representations for solutions and coefficients of Blokhintsev equation under condition the solutions satisfy to supplementary quasi-linear equation. These results may be used in the problems of identification of solutions and coefficients given supplementary initial-boundary information.

Keywords: Blokhintsev equation, method of differential constrains,overdetermined systems of partial differential equations.

UDC: 517.9

MSC: 35N10,35C05

Received May 8, 2020, published October 21, 2020

Language: English

DOI: 10.33048/semi.2020.17.114