Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Maksim V. Kukushkin"'
Autor:
Maksim V. Kukushkin
Publikováno v:
Mathematics, Vol 12, Iss 4, p 540 (2024)
In this paper, we study spectral properties of non-self-adjoint operators with the discrete spectrum. The main challenge is to represent a complete description of belonging to the Schatten class through the properties of the Hermitian real component.
Externí odkaz:
https://doaj.org/article/6b9217a5832b4d0595f2abd4ca3d0675
Autor:
Maksim V. Kukushkin
Publikováno v:
Fractal and Fractional, Vol 7, Iss 2, p 111 (2023)
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:
https://doaj.org/article/600a3d1a03634bbbb41d012a5a565fe1
Autor:
Maksim V. Kukushkin
Publikováno v:
Axioms, Vol 11, Iss 9, p 434 (2022)
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:
https://doaj.org/article/a78fc667638a4e6b92848c23e8090014
Autor:
Maksim V. Kukushkin
Publikováno v:
Mathematics, Vol 10, Iss 13, p 2237 (2022)
Our first 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 clas
Externí odkaz:
https://doaj.org/article/b5c865475b9b4c659a71908703b33b8e
Autor:
Maksim V. Kukushkin
Publikováno v:
Fractal and Fractional, Vol 6, Iss 5, p 229 (2022)
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:
https://doaj.org/article/c60bfe16dd104cf9beac5baf95a1e87b
Autor:
Maksim V. Kukushkin
Publikováno v:
Abstract and Applied Analysis, Vol 2020 (2020)
In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint. Our consideration is based on know
Externí odkaz:
https://doaj.org/article/554c956aaacc425681fff1a3ef689d05
Autor:
Maksim V. Kukushkin
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 29,, Pp 1-24 (2018)
We consider the fractional differentiation operators in a variety of senses. We show that the strong accretive property is the common property of fractional differentiation operators. Also we prove that the sectorial property holds for operators s
Externí odkaz:
https://doaj.org/article/6ced4dab8f864c1a90d3011e7199bd1f
Autor:
Maksim V. Kukushkin
Publikováno v:
Fractal and Fractional, Vol 5, Iss 3, p 77 (2021)
In this paper we present a method of studying a convolution operator under the Sonin conditions imposed on the kernel. The particular case of the Sonin kernel is a kernel of the fractional integral Riemman–Liouville operator, other various types of
Externí odkaz:
https://doaj.org/article/2f9f8282169b46a08da82acd8874f173
Autor:
Maksim V. Kukushkin
Publikováno v:
Axioms, Vol 10, Iss 2, p 64 (2021)
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 uniformly elliptic operator by means of a composition of the
Externí odkaz:
https://doaj.org/article/4345d79348544bf9b2e87d9249e76138
Autor:
Maksim V. Kukushkin
Publikováno v:
Axioms, Vol 9, Iss 3, p 81 (2020)
In this paper, we continue our study of the Abel equation with the right-hand side belonging to the Lebesgue weighted space. We have improved the previously known result— the existence and uniqueness theorem formulated in terms of the Jacoby series
Externí odkaz:
https://doaj.org/article/1bbfa3eeeb3d49ee86840d0fe9be36d1