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Hüseyin, Hüseyin Şirin
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Name Variants
H.,Hüseyin
H.S.Huseyin
H.,Huseyin Sirin
Hüseyin, Hüseyin Şirin
H., Huseyin Sirin
H.,Hüseyin Şirin
Huseyin, Huseyin Sirin
Hüseyin,H.Ş.
Hüseyin Şirin, Hüseyin
H., Huseyin
Huseyin,H.S.
H.Ş.Hüseyin
Huseyin Sirin, Huseyin
Guseinov, Gusein Sh.
Guseinov, GS
Guseinov, Gusein Sh
Guseinov, G. Sh.
Guseinov, Gusein S. H.
Guseinov, Gusein SH.
Guseinov,G.S.
Guseinov,G.Sh.
Guseinov,G.S.
H.S.Huseyin
H.,Huseyin Sirin
Hüseyin, Hüseyin Şirin
H., Huseyin Sirin
H.,Hüseyin Şirin
Huseyin, Huseyin Sirin
Hüseyin,H.Ş.
Hüseyin Şirin, Hüseyin
H., Huseyin
Huseyin,H.S.
H.Ş.Hüseyin
Huseyin Sirin, Huseyin
Guseinov, Gusein Sh.
Guseinov, GS
Guseinov, Gusein Sh
Guseinov, G. Sh.
Guseinov, Gusein S. H.
Guseinov, Gusein SH.
Guseinov,G.S.
Guseinov,G.Sh.
Guseinov,G.S.
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Profesör Doktor
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Scholarly Output
70
Articles
65
Citation Count
984
Supervised Theses
0
70 results
Scholarly Output Search Results
Now showing 1 - 10 of 70
Article Citation Count: 2On a Discrete Inverse Problem for Two Spectra(Hindawi Ltd, 2012) Hüseyin, Hüseyin Şirin; MathematicsA version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix and one for the matrix obtained by deleting the last row and last column of the Jacobi matrix.Article Citation Count: 14Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians(Natl Acad Sci Ukraine, inst Math, 2009) Hüseyin, Hüseyin Şirin; MathematicsIn this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing numbers of the matrix. The inverse problems from generalized spectral function as well as from spectral data are investigated. In this way, a procedure for construction of complex tridiagonal matrices having real eigenvalues is obtained.Conference Object Citation Count: 6Discrete calculus of variations(Amer inst Physics, 2004) Hüseyin, Hüseyin Şirin; MathematicsThe continuous calculus of variations is concerned mainly with the determination of minima or maxima of certain definite integrals involving unknown functions. In this paper, a discrete calculus of variations for sums is treated, including the discrete Euler-Lagrange equation.Article Citation Count: 1An Inverse Problem for Two Spectra of Complex Finite Jacobi Matrices(Tech Science Press, 2012) Hüseyin, Hüseyin Şirin; MathematicsThis paper deals with the inverse spectral problem for two spectra of finite order complex Jacobi matrices (tri-diagonal symmetric matrices with complex entries). The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by replacing the first diagonal element of the Jacobi matrix by some another number. The uniqueness and existence results for solution of the inverse problem are established and an explicit algorithm of reconstruction of the matrix from the two spectra is given.Article Citation Count: 1Solving an initial boundary value problem on the semiinfinite interval(Tubitak Scientific & Technological Research Council Turkey, 2016) Atalan, Ferihe; Guseinov, Gusein Sh.; Hüseyin, Hüseyin Şirin; MathematicsWe explore the sign properties of eigenvalues and the basis properties of eigenvectors for a special quadratic matrix polynomial and use the results obtained to solve the corresponding linear system of differential equations on the half line subject to an initial condition at t = 0 and a condition at t = infinity.Article Citation Count: 1RECONSTRUCTION OF COMPLEX JACOBI MATRICES FROM SPECTRAL DATA(Hacettepe Univ, Fac Sci, 2009) Hüseyin, Hüseyin Şirin; MathematicsIn this paper, we introduce spectral data for finite order complex Jacobi matrices and investigate the inverse problem of determining the matrix from its spectral data. Necessary and sufficient conditions for the solvability of the inverse problem are established. An explicit procedure of reconstruction of the matrix from the spectral data is given.Article Citation Count: 0A boundary value problem for second-order nonlinear difference equations on the integers(Cambridge Univ Press, 2005) Hüseyin, Hüseyin Şirin; Guseinov, GS; MathematicsIn this study, we are concerned with a boundary value problem (BVP) for nonlinear difference equations on the set of all integers Z, under the assumption that the left-hand side is a second-order linear difference expression which belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l(2) and includes boundary conditions at infinity. Existence and uniqueness results for solution of the considered BVP are established.Article Citation Count: 24Properties of the Laplace transform on time scales with arbitrary graininess(Taylor & Francis Ltd, 2011) Hüseyin, Hüseyin Şirin; Guseinov, Gusein Sh.; Karpuz, Basak; MathematicsWe generalize several standard properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Some of these properties were justified earlier under certain restrictions on the graininess of the time scale. In this work, we have no restrictions on the graininess.Article Citation Count: 1ON THE DERIVATION OF EXPLICIT FORMULAE FOR SOLUTIONS OF THE WAVE EQUATION IN HYPERBOLIC SPACE(Hacettepe Univ, Fac Sci, 2013) Hüseyin, Hüseyin Şirin; MathematicsWe offer a new approach to solving the initial value problem for the wave equation in hyperbolic space in arbitrary dimensions. Our approach is based on the spectral analysis of the Laplace-Beltrami operator in hyperbolic space and some structural formulae for rapidly decreasing functions of this operator.Article Citation Count: 78Lyapunov inequalities for discrete linear Hamiltonian systems(Pergamon-elsevier Science Ltd, 2003) Hüseyin, Hüseyin Şirin; Kaymakçalan, B; MathematicsIn this paper, we present some Lyapunov type inequalities for discrete linear scalar Hamiltonian systems when the coefficient c(t) is not necessarily nonnegative valued and when the end-points are not necessarily usual zeros, but rather, generalized zeros. Applying these inequalities, we obtain some disconjugacy and stability criteria for discrete Hamiltonian systems. (C) 2003 Elsevier Science Ltd. All rights reserved.
