Výsledky vyhledávání - "V. S. Mokeichev"

Akademický článek

Fourier method in the space of φB - distributions

Publikováno v: Учёные записки Казанского университета. Серия Физико-математические науки, Vol 165, Iss 1, Pp 68-81 (2023)

In our previous articles, we introduced and explored the notion of φB -distributions with values in the Banach space. This offers a new perspective on the theory of solvability of linear problems, which is important for solving partial differential

Externí odkaz: https://doaj.org/article/12b9067574f74c84a0ddd64108492ed5

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Akademický článek

Dirichlet Solutions of Functional Differential Equations without Delay

Autor: N. P. Evlampiev, V. S. Mokeichev, I. E. Filippov

Publikováno v: Учёные записки Казанского университета. Серия Физико-математические науки, Vol 165, Iss 2 (2024)

Necessary and sufficient conditions for the existence of a valid Dirichlet solution were obtained. A method was developed to find Dirichlet solutions of the functional differential equation with non-delayed linear argument deviation.

Externí odkaz: https://doaj.org/article/dbff03c343704a52949fba2549288987

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Metric, Banach, and Hilbert Spaces of φB-Distributions

Autor: V. S. Mokeichev

Publikováno v: Russian Mathematics. 62:55-60

We introduce φ-distributions and prove that their set is ametric space. We also consider a Banach space and a Hilbert space of such distributions. The results are applied to differential equations with Laurent’s type coefficients.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::eb99f1112aa817363ee2eb601e0a5dd4
https://doi.org/10.3103/s1066369x18050080

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The existence of eigenvalues for operators acting in L 2(R n )

Autor: V. S. Mokeichev

Publikováno v: Russian Mathematics. 61:25-34

We present conditions that allow us to prove the existence of eigenvalues and characteristic values for operator F(D) − C(λ): L2(Rm) → L2(Rm), where F(D) is a pseudo-differential operator with a symbol F(iξ) and C(λ): L2(Rm) → L2(Rm) is a li

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5095891525f94cb682037505f4980905
https://doi.org/10.3103/s1066369x17070040

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Approximate computation of an eigenwave from measurements of its amplitudes at a given point

Autor: A. V. Golovtsov, V. S. Mokeichev

Publikováno v: Differential Equations. 50:633-642

Under the assumption that the variables in the wave equation can be separated and its coefficients are periodic, we develop a classification of seismic eigenwaves and use it to answer some questions as to how to specify the type and basic parameters

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fd5ecbb1c0380f4e27ea478dcf0b7ce2
https://doi.org/10.1134/s0012266114050061

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Explicit form of characteristic numbers of a periodic problem

Autor: V. S. Mokeichev

Publikováno v: Russian Mathematics. 54:38-43

A periodic problem for a linear differential equation of the second order is reduced to a periodic problem for a differential equation of the first order, but with deviation argument. We indicate the cases when the characteristic numbers are determin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f1d83a9e46683d28bbfc54d741a6c311
https://doi.org/10.3103/s1066369x1010004x

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Existence and basisness of eigen and adjoined elements of linear operators

Autor: V. S. Mokeichev

Publikováno v: Russian Mathematics. 52:37-48

In this paper we continue the study described earlier in No. 5, 2006, of Russian Mathematics (Izv. Vyssh. Uchebn. Zaved., Matematika). We establish conditions, providing the asymptotics mentioned in the cited paper. We prove the basis property of eig

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::21642ab14c59ce30f1c5a048471ea440
https://doi.org/10.3103/s1066369x08060054

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