Browsing by Author "Tekin, İbrahim"
Now showing items 1-11 of 11
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Determination of a time-dependent coefficient in a non-linear hyperbolic equation with non-classical boundary condition
Tekin, İbrahim (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2021)The non-linear hyperbolic equation is used to model many non-linear phenomena. In this paper, we consider an initial boundary value problem for non-linear hyperbolic equation. We determine a time-dependent coefficient ... -
Determination of a Time-Dependent Coefficient in a Wave Equation with Unusual Boundary Condition
Tekin, İbrahim (Univ Nis, Fac Sci Math, 2019)In this paper, an initial boundary value problem for a wave equation with unusual boundary condition is considered. Giving an integral over-determination condition, a time-dependent potential is determined and existence ... -
Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem
Zhuo, L.; Lesnic, D.; Ismailov, M. I.; Tekin, İbrahim; Meng, S. (Taylor & Francis Ltd, 2019)Diffusion processes with reaction generated by a nonlinear source are commonly encountered in practical applications related to ignition, pyrolysis and polymerization. In such processes, determining the intensity of reaction ... -
EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION
Tekin, İbrahim (Turkic World Mathematical Soc, 2020)In this paper, an initial boundary value problem for a wave equation with dynamic boundary condition is considered. Giving an additional condition, a time-dependent coefficient is determined and existence and uniqueness ... -
Existence and uniqueness of an inverse problem for nonlinear Klein-Gordon equation
Tekin, İbrahim; Mehraliyev, Yashar T.; Ismailov, Mansur I. (Wiley, 2019)In this paper, an initial boundary value problem for nonlinear Klein-Gordon equation is considered. Giving an additional condition, a time-dependent coefficient multiplying nonlinear term is determined, and existence and ... -
An inverse problem for finding the lowest term of a heat equation with Wentzell-Neumann boundary condition
Ismailov, Mansur I.; Tekin, İbrahim; Erkovan, Sait (Taylor & Francis Ltd, 2019)tThe Fourier series analysis of the inverse problem of finding the coefficient of lowest term in the heat equation with a non-local Wentzell-Neumann boundary and integral overdetermination conditions is presented. Under ... -
An Inverse Problem for the Forced Transverse Vibration of a Rectangular Membrane with Time Dependent Potential
Tekin, İbrahim (2020)In this paper, an initial-boundary value problem for a two-dimensional waveequation which arises in the equation of motion for the forced transverse vibration of a rectangular membrane is considered. Giving an additional ... -
Inverse problem for the time-fractional euler-bernoulli beam equation
Tekin, İbrahim; Yang, He (VGTU, 2021)In this paper, the classical Euler-Bernoulli beam equation is considered by utilizing fractional calculus. Such an equation is called the time-fractional EulerBernoulli beam equation. The problem of determining the ... -
Inverse scattering problem for linear system of four-wave interaction problem with equal number of incident and scattered waves
Ismailov, Mansur I.; Tekin, İbrahim (Birkhauser, 2021)The first order semi-strict hyperbolic system on the semi-axis in the case of equal number of incident and scattered waves are considered. The uniqueness of the inverse scattering problem (the problem of finding the potential ... -
A New Approach for Unique Restoration of a Time-Dependent Matrix Potential in a Hyperbolic Scattering Problem on the Semi-Axis
Ismailov, M. I.; Tekin, İbrahim (Inst Math & Mechanics Azerbaijan, 2019)This paper considers the inverse scattering problem on the semi-axis for the matrix hyperbolic system with a special structure of matrix potential. The possible relationship between the matrix scattering operators for the ... -
RECONSTRUCTION OF A TIME-DEPENDENT POTENTIAL IN A PSEUDO-HYPERBOLIC EQUATION
Tekin, İbrahim (Univ Politehnica Bucharest, Sci Bull, 2019)In this paper, an initial boundary value problem for a pseudo-hyperbolic equation is considered. Giving an over-determination condition, a time-dependent potential is determined and existence and uniqueness theorem for ...
