Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Kukushkin, Maksim V."'
Autor:
Kukushkin, Maksim V.
In this monograph, we formulated the sufficient conditions of the Abel-Lidskii basis property for a sectorial operator. Having studied such an operator class, we strengthened the conditions regarding the semi-angle of the sector and weakened a great
Externí odkaz:
http://arxiv.org/abs/2402.03331
Autor:
Kukushkin, Maksim V.
In this paper, we consider a problem of decreasing the summation order in the Abel-Lidskii sense. The problem has a significant prehistory since 1962 created by such mathematicians as Lidskii V.B., Katsnelson V.E., Matsaev V.I., Agranovich M.S. As a
Externí odkaz:
http://arxiv.org/abs/2306.13547
Autor:
Kukushkin, Maksim V.
This paper is partly a historical survey of various approaches and methods in the fractional calculus, partly a description of the Kipriyanov extraordinary theory in comparison with the classical one. The significance and outstanding methods in const
Externí odkaz:
http://arxiv.org/abs/2304.03474
Autor:
Kukushkin, Maksim V.
In this paper we study non-selfadjoint operators using the methods of the spectral theory. The main challenge is to represent a complete description of an operator belonging to the Schatten-von Neumann class having used the order of the Hermitian rea
Externí odkaz:
http://arxiv.org/abs/2303.11627
Autor:
Kukushkin, Maksim V.
In this paper, we define an operator function as a series of operators corresponding to the Taylor series representing the function of the complex variable. In previous papers, we considered the case when a function has a decomposition in the Laurent
Externí odkaz:
http://arxiv.org/abs/2212.10227
Autor:
Kukushkin, Maksim V.
In this paper, having introduced a convergence of a series on the root vectors in the Abel-Lidskii sense, we present a valuable application to the evolution equations. The main issue of the paper is an approach allowing us to principally broaden cond
Externí odkaz:
http://arxiv.org/abs/2207.04392
Autor:
Kukushkin, Maksim V.
In this paper we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation. We establish the method that allows us to formulate the existence and uniqueness
Externí odkaz:
http://arxiv.org/abs/2202.07338
Autor:
Kukushkin, Maksim V.
The first our aim is to clarify the results obtained by Lidskii devoted to the decomposition on the root vector system of the non-selfadjoint operator. We use a technique of the entire function theory and introduce a so-called Schatten-von Neumann cl
Externí odkaz:
http://arxiv.org/abs/2112.10396
Autor:
Kukushkin, Maksim V.
In this paper we consider a norm based on the infinitesimal generator of the shift semigroup in a direction. The relevance of such a focus is guaranteed by an abstract representation of a fractional integro-differential operator by means of a composi
Externí odkaz:
http://arxiv.org/abs/2012.13688
Autor:
Kukushkin, Maksim V.
In this paper we continue the investigation of the Abel equation with the right part belonging to a Lebesgue weighted space. We have improved the previously known result - the uniqueness and existence theorem formulated in terms of the Jacoby series
Externí odkaz:
http://arxiv.org/abs/2002.00465