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of 106
pro vyhledávání: '"Ismailov, Mansur I."'
Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations
We discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation point guarantees the existence of a (smooth) solution pair for the invers
Externí odkaz:
http://arxiv.org/abs/2306.00786
Autor:
Ismailov, Mansur I., Sabaz, Cihan
A class of negative order Ablowitz--Kaup--Newell--Segur nonlinear evolution equations are obtained by applying the Lax hierarchy of the first order linear system of three equations. The inverse scattering problem on the whole axis are examined in the
Externí odkaz:
http://arxiv.org/abs/2212.02092
Autor:
Ismailov, Mansur I.1,2 mismailov@gtu.edu.tr, Çiçek, Muhammed2 cicekcizade57@gmail.com
Publikováno v:
Mathematical Modelling & Analysis. 2024, Vol. 29 Issue 2, p238-253. 16p.
Autor:
Ismailov, Mansur I
In this work, we introduce a dispersive N(=2n)-wave interaction problem involving n velocities in two spatial dimensions and one temporal dimension. Exact solutions of the problem are exhibited. This is a generalization of the N-wave interaction prob
Externí odkaz:
http://arxiv.org/abs/2008.09334
Autor:
Ismailov, Mansur I., Türk, Önder
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation December 2023 127
Autor:
Ismailov, Mansur I., Erkovan, Sait
We consider an inverse problem of determining the time-dependent lowest order coefficient of two-dimensional (2D) heat equation with Ionkin boundary and total energy integral overdetermination condition. The well-posedness of the problem is obtained
Externí odkaz:
http://arxiv.org/abs/1701.09034
Publikováno v:
Frontiers in Applied Mathematics & Statistics; 2024, p1-12, 12p
Autor:
Kerimov, Nazim B., Ismailov, Mansur I.
This paper considers the initial-boundary value problem for the heat equation with a dynamic type boundary condition. Under some regularity, consistency and orthogonality conditions, the existence, uniqueness and continuous dependence upon the data o
Externí odkaz:
http://arxiv.org/abs/1306.4772
Autor:
Ismailov, Mansur I.
In this article, the inverse scattering problem (ISP) of recovering the matrix coefficient of a first order system of ordinary differential equations on the half-axis from its scattering matrix is considered. In the case of a triangular structure of
Externí odkaz:
http://arxiv.org/abs/1306.4770
Autor:
Ismailov, Mansur I., Kanca, Fatma
In this paper we consider the problem of simultaneously determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional heat equation in the case of nonlocal boundary and integral overdetermination conditions. W
Externí odkaz:
http://arxiv.org/abs/1004.5505