Zobrazeno 1 - 10
of 171
pro vyhledávání: '"Tokmagambetov, Niyaz"'
In this paper, we pursue our series of papers aiming to show the applicability of the concept of very weak solutions. We consider a wave model with irregular position dependent mass and dissipation terms, in particular, allowing for delta-like coeffi
Externí odkaz:
http://arxiv.org/abs/2311.01639
Autor:
Bekbolat, Bayan, Tokmagambetov, Niyaz
The aim of this paper is to study time-fractional pseudo-parabolic type equations generated by the Dunkl operator. The forward problem is considered and its well-posedness is established. In particular, a prior estimates are obtained in the Sobolev t
Externí odkaz:
http://arxiv.org/abs/2308.01232
In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the problem to an o
Externí odkaz:
http://arxiv.org/abs/2306.03910
In this paper, we investigate direct and inverse problems for the time-fractional heat equation with a time-dependent leading coefficient for positive operators. First, we consider the direct problem, and the unique existence of the generalized solut
Externí odkaz:
http://arxiv.org/abs/2306.03545
In this paper, we study the heat equation with an irregular spatially dependent thermal conductivity coefficient. We prove that it has a solution in an appropriate very weak sense. Moreover, the uniqueness result and consistency with the classical so
Externí odkaz:
http://arxiv.org/abs/2302.09314
We consider the Schr\"odinger equation with singular position dependent effective mass and prove that it is very weakly well posed. A uniqueness result is proved in an appropriate sense, moreover, we prove the consistency with the classical theory. I
Externí odkaz:
http://arxiv.org/abs/2302.10194
The study of the Mittag-Leffler function and its various generalizations has become a very popular topic in mathematics and its applications. In the present paper we prove the following estimate for the $q$-Mittag-Leffler function: \begin{eqnarray*}
Externí odkaz:
http://arxiv.org/abs/2302.00532
In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin's difference operator. Well-posedness results are obtained in appropriate Sobolev
Externí odkaz:
http://arxiv.org/abs/2301.07381
Autor:
Bekbolat, Bayan, Tokmagambetov, Niyaz
In this paper we investigate direct and inverse problems for time-fractional pseudo-parabolic equations associated with the Jacobi operator. The existence and uniqueness of the solutions are proved. Also, the stability result of the inverse source pr
Externí odkaz:
http://arxiv.org/abs/2301.00585
Autor:
Serikbaev, Daurenbek1 (AUTHOR) serykbaev@math.kz, Tokmagambetov, Niyaz1,2 (AUTHOR) tokmagambetov@crm.cat
Publikováno v:
Symmetry (20738994). Oct2024, Vol. 16 Issue 10, p1332. 11p.