Browsing by Author "Tekin, İbrahim"
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Determination of a timedependent coefficient in a nonlinear hyperbolic equation with nonclassical boundary condition
Tekin, İbrahim (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2021)The nonlinear hyperbolic equation is used to model many nonlinear phenomena. In this paper, we consider an initial boundary value problem for nonlinear hyperbolic equation. We determine a timedependent coefficient ... 
Determination of a TimeDependent 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 overdetermination condition, a timedependent potential is determined and existence ... 
Determination of the timedependent 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 timedependent coefficient is determined and existence and uniqueness ... 
Existence and uniqueness of an inverse problem for nonlinear KleinGordon equation
Tekin, İbrahim; Mehraliyev, Yashar T.; Ismailov, Mansur I. (Wiley, 2019)In this paper, an initial boundary value problem for nonlinear KleinGordon equation is considered. Giving an additional condition, a timedependent coefficient multiplying nonlinear term is determined, and existence and ... 
An inverse problem for finding the lowest term of a heat equation with WentzellNeumann 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 nonlocal WentzellNeumann 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 initialboundary value problem for a twodimensional 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 timefractional eulerbernoulli beam equation
Tekin, İbrahim; Yang, He (VGTU, 2021)In this paper, the classical EulerBernoulli beam equation is considered by utilizing fractional calculus. Such an equation is called the timefractional EulerBernoulli beam equation. The problem of determining the ... 
Inverse scattering problem for linear system of fourwave interaction problem with equal number of incident and scattered waves
Ismailov, Mansur I.; Tekin, İbrahim (Birkhauser, 2021)The first order semistrict hyperbolic system on the semiaxis 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 TimeDependent Matrix Potential in a Hyperbolic Scattering Problem on the SemiAxis
Ismailov, M. I.; Tekin, İbrahim (Inst Math & Mechanics Azerbaijan, 2019)This paper considers the inverse scattering problem on the semiaxis 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 TIMEDEPENDENT POTENTIAL IN A PSEUDOHYPERBOLIC EQUATION
Tekin, İbrahim (Univ Politehnica Bucharest, Sci Bull, 2019)In this paper, an initial boundary value problem for a pseudohyperbolic equation is considered. Giving an overdetermination condition, a timedependent potential is determined and existence and uniqueness theorem for ...