Zobrazeno 1 - 10
of 29
pro vyhledávání: '"N. B. Kerimov"'
Publikováno v:
Differential Equations. 56:277-289
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95b4e56275f30c9c08833efe3b192d87
https://doi.org/10.1134/s0012266120030015
https://doi.org/10.1134/s0012266120030015
Publikováno v:
Differential Equations. 56:143-157
We consider a spectral problem arising in the description of bending vibrations of a homogeneous rod with a longitudinal force acting in the cross sections, with clamped left end, and with a lumped inertial load at the right end. We give a general ch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33cb749e3da05f060ba942fd2e28940e
https://doi.org/10.1134/s0012266120020019
https://doi.org/10.1134/s0012266120020019
Publikováno v:
Applied Mathematics and Computation. 346:800-815
In this paper, we consider inverse problems of finding the time-dependent source function for the population model with population density nonlocal boundary conditions and an integral over-determination measurement. These problems arise in mathematic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54f05dd5b116ca396af4d99d2c89ebf6
https://doi.org/10.1016/j.amc.2018.10.059
https://doi.org/10.1016/j.amc.2018.10.059
Autor:
N. B. Kerimov
Publikováno v:
Differential Equations. 55:149-158
The Sturm-Liouville operator with spectral parameter in the boundary conditions is considered, and sufficient conditions for the basis property of the system of eigenfunctions of this operator in the space Lp(0, 1), 1 < p < ∞, are obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87c03a7f7173379294b089866b09cd39
https://doi.org/10.1134/s0012266119020010
https://doi.org/10.1134/s0012266119020010
Autor:
N. B. Kerimov, Emir A. Maris
Publikováno v:
Results in Mathematics. 73
In this paper, we study the uniform convergence of the spectral expansions in terms of eigenfunctions of the boundary value problem $$\begin{aligned}&\quad \quad \quad \quad \qquad -{y}''+q\left( x \right) y=\lambda y,\quad 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9159b0fcdf5b8b68f683d46bc9913c60
https://doi.org/10.1007/s00025-018-0864-z
https://doi.org/10.1007/s00025-018-0864-z
Autor:
N. B. Kerimov, Emir A. Maris
Publikováno v:
Mathematical Methods in the Applied Sciences. 39:2298-2309
In this paper, we investigate the uniform convergence of the Fourier series expansions in terms of eigenfunctions for the spectral problem where λ is a spectral parameter, q(x) is a real-valued continuous function on the interval [0,1], and a1,b0,b1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f9eab789239d45e8bc550075654aa03
https://doi.org/10.1002/mma.3640
https://doi.org/10.1002/mma.3640
Publikováno v:
Applied Mathematical Modelling. 39:6258-6272
This paper investigates the inverse problem of determining the time-dependent heat source and the temperature for the heat equation with a non-classical boundary and an integral over-determination conditions. The existence, uniqueness and continuous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38a0bdf654fc0a8a9477117408e7f429
https://doi.org/10.1016/j.apm.2015.01.058
https://doi.org/10.1016/j.apm.2015.01.058
Publikováno v:
Results in Mathematics. 68:501-518
In this paper, we consider the following periodic and antiperiodic problem $$\begin{aligned} y^{\text{iv}}+p_{2}\left( x \right) y^{\prime \prime}+p_{1} \left( x\right) y^{\prime}+p_{0}\left( x\right) y=\lambda y, \quad 0 < x < 1,\\ y^{\left( s \righ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec9668c3e8def76536f6965b7808f308
https://doi.org/10.1007/s00025-015-0454-2
https://doi.org/10.1007/s00025-015-0454-2
Autor:
N. B. Kerimov
Publikováno v:
Doklady Mathematics. 88:645-648
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c81880de3a314c9807659ca7ceb322e
https://doi.org/10.1134/s1064562413060082
https://doi.org/10.1134/s1064562413060082
Autor:
N. B. Kerimov
Publikováno v:
Differential Equations. 49:1233-1245
We study the spectral properties of a second-order differential operator with regular but not strongly regular boundary conditions. We show that the system of root functions of this operator contains infinitely many associated functions. We prove tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fd28150f1b400b2926270b6c28847d3
https://doi.org/10.1134/s0012266113100042
https://doi.org/10.1134/s0012266113100042