Scientific seminar “General results on the uniqueness of solutions in linear inverse problems for differential equations in Banach spaces”

Scientific seminar “General results on the uniqueness of solutions in linear inverse problems for differential equations in Banach spaces”

The event passed
23 Mar 2021
Location
Online
About the event

23 March at 12:00 MSK

Topic: General results on the uniqueness of solutions in linear inverse problems for differential equations in Banach spaces.

We consider an abstract differential equation of arbitrary order n in a Banach space. We assume that the equation contains an unknown element in the form of an inhomogeneous term. To find the element, in addition to the traditional Cauchy conditions, we set an additional condition at some final moment of time. In the talk, we present a general criterion for the uniqueness of solution, which is valid for similar inverse problems without any restrictions on the type of differential equation. The result is expressed in spectral terms and is closely related to the theory of the distribution of zeros of entire functions of the Mittag-Leffler type. The main working tool in the proof of the uniqueness criterion is the theory of generalized hyperbolic functions (or the so-called generalized exponentials) adapted for solving higher-order differential equations.

Online

Speaker

D. Sc., Professor Tikhonov Ivan V., Almohamed Muataz, Lomonosov Moscow State University, Moscow State Pedagogical University (Moscow).

Related eventsAll events
2023
26 Sep
Seminar “Solving the Vlasov equation using neural networks”
2023
26 Sep
Seminar “On solutions to initial boundary value problems for the Kawahara equation and its generalizations”
2023
20 - 22 Sep
International Conference “Food Quality Food Safety”
2023
21 Sep
Seminar “Mathematical modeling of EEG-dynamics”