Nonharmonic analysis of boundary value problems

M Ruzhansky, N Tokmagambetov - International Mathematics …, 2016 - academic.oup.com
In this paper, we develop the global symbolic calculus of pseudo-differential operators
generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) …

Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain.

B Kanguzhin… - Siberian Mathematical …, 2016 - search.ebscohost.com
RESOLVENTS OF WELL-POSED PROBLEMS FOR FINITE-RANK PERTURBATIONS OF THE
POLYHARMONIC OPERATOR IN A PUNCTURED DOMAIN Page 1 Siberian Mathematical …

Correctness of the definition of the Laplace operator with delta-like potentials

BE Kanguzhin, KS Tulenov - Complex Variables and Elliptic …, 2022 - Taylor & Francis
In this paper, we give a correct definition of the Laplace operator with delta-like potentials.
Correctly solvable pointwise perturbation is investigated and formulas of resolvent are …

Singular perturbations of Laplace operator and their resolvents

BE Kanguzhin, KS Tulenov - Complex Variables and Elliptic …, 2020 - Taylor & Francis
An inner closed (without boundary) smooth manifold of a lower dimension is cut from a
multidimensional ball. In this region, invertible restrictions of the Laplace operator are well …

[HTML][HTML] The Diffusion Equation Involving the Dunkl–Laplacian Operator in a Punctured Domain

B Bekbolat, G Nalzhupbayeva… - Fractal and Fractional, 2024 - mdpi.com
The purpose of this paper is to establish solvability results for both direct and inverse
problems associated with the diffusion equation involving the Dunkl–Laplacian operator in a …

On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator

B Kanguzhin, Z Fazullin - Complex Variables and Elliptic Equations, 2021 - Taylor & Francis
In this paper, we study the localization of the discrete spectrum of certain perturbations of a
two-dimensional harmonic oscillator. The convergence of the expansion of the source …

[PDF][PDF] To the question of a multipoint mixed boundary value problem for a wave equation

B Bekbolat, B Kanguzhin… - Известия НАН РК …, 2019 - journals.nauka-nanrk.kz
TO THE QUESTION OF A MULTIPOINT MIXED BOUNDARY VALUE PROBLEM FOR A
WAVE EQUATION Page 1 News of the National Academy of sciences of the Republic of …

On a boundary condition of the surface heat potential

TS Kal'menov, GD Arepova - Advancements in Mathematical …, 2015 - ui.adsabs.harvard.edu
On a boundary condition of the surface heat potential - NASA/ADS Now on home page ads icon
ads Enable full ADS view NASA/ADS On a boundary condition of the surface heat potential …

A second regularized trace formula for a higher order differential operator

E Gül - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
A second regularized trace formula for a higher order differential operator - Gül - 2021 -
Mathematical Methods in the Applied Sciences - Wiley Online Library Skip to Article Content …

Weinstein criteria and regularized traces in the case of transverse vibrations of an elastic string with springs

BE Kanguzhin - Differential Equations, 2018 - Springer
The transverse vibrations of a string with additional restrictions in the form of elastic point
constraints are studied. In contrast toWeinstein's original approach, the constraints are not …