Hüseyin, Hüseyin Şirin

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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.
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Profesör Doktor
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Mathematics
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Former Staff
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Scholarly Output

63

Articles

58

Citation Count

984

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0

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2002 - 2009302010 - 201633
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Now showing 1 - 10 of 63
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    Article
    Citation - WoS: 45
    Citation - Scopus: 60
    The Convolution on Time Scales
    (Hindawi Publishing Corporation, 2007) Bohner, Martin; Guseinov, Gusein Sh.; Mathematics
    The main theme in this paper is an initial value problem containing a dynamic version of the transport equation. Via this problem, the delay (or shift) of a function defined on a time scale is introduced, and the delay in turn is used to introduce the convolution of two functions defined on the time scale. In this paper, we give some elementary properties of the delay and of the convolution and we also prove the convolution theorem. Our investigation contains a study of the initial value problem under consideration as well as some results about power series on time scales. As an extensive example, we consider the q-difference equations case. Copyright (c) 2007 M. Bohner and G. Sh. Guseinov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On the Determination of a Complex Finite Jacobi Matrix From Spectral Data
    (Univ Politehnica Bucharest, Sci Bull, 2015) Guseinov, Gusein Sh; Mathematics; Mathematics
    In this paper, we study the necessary and sufficient conditions for solvability of an inverse spectral problem for finite order complex Jacobi matrices (tri-diagonal symmetric matrices with complex entries). The problem is to reconstruct the complex Jacobi matrix from the spectral data consisting of eigenvalues and normalizing numbers of this matrix. An explicit procedure of reconstruction of the matrix from the spectral data is given.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Spectral Method for Deriving Multivariate Poisson Summation Formulae
    (Amer inst Mathematical Sciences-aims, 2013) Guseinov, Gusein Sh.; Mathematics
    We show that using spectral theory of a finite family of pair-wise commuting Laplace operators and the spectral properties of the periodic Laplace operator some analogues of the classical multivariate Poisson summation formula can be derived.
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    Conference Object
    Citation - WoS: 0
    Time Evolution of the Spectral Data Associated With the Finite Complex Toda Lattice
    (Springer-verlag Berlin, 2012) Huseynov, Aydin; Guseinov, Gusein Sh.; Mathematics
    Spectral data for complex Jacobi matrices are introduced and the time evolution of the spectral data for the Jacobi matrix associated with the solution of the finite complex Toda lattice is computed.
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    Article
    Citation - WoS: 1
    RECONSTRUCTION OF COMPLEX JACOBI MATRICES FROM SPECTRAL DATA
    (Hacettepe Univ, Fac Sci, 2009) Guseinov, Gusein Sh; Mathematics
    In 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.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On a Quadratic Eigenvalue Problem and Its Applications
    (Springer Basel Ag, 2013) Atalan, Ferihe; Guseinov, Gusein Sh; Mathematics
    We investigate the eigenvalues and eigenvectors of a special quadratic matrix polynomial and use the results obtained to solve the initial value problem for the corresponding linear system of differential equations.
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    Conference Object
    Citation - WoS: 0
    On the Riemann Integration on Time Scales
    (Crc Press-taylor & Francis Group, 2004) Guseinov, GS; Kaymakçalan, B; Mathematics
    In this paper we introduce and investigate the concepts of Riemann's delta and nabla integrals on time scales. Main theorems of the integral calculus on time scales are proved.
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    Article
    Citation - WoS: 32
    Citation - Scopus: 44
    Higher-Order Self-Adjoint Boundary-Value Problems on Time Scales
    (Elsevier Science Bv, 2006) Anderson, Douglas R.; Guseinov, Gusein Sh.; Hoffacker, Joan; Mathematics
    In this study, higher-order self-adjoint differential expressions on time scales and their associated self-adjoint boundary conditions are discussed. The symmetry property of the corresponding Green's functions is shown, together with specific formulas of Green's functions for select time scales. (c) 2005 Elsevier B.V. All rights reserved.
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    Article
    Citation - WoS: 3
    Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient
    (Pergamon-elsevier Science Ltd, 2004) Guseinov, GS; Karaca, IY; Mathematics
    In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. (C) 2004 Elsevier Ltd. All rights reserved.
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    Conference Object
    Citation - WoS: 58
    Improper Integrals on Time Scales
    (Dynamic Publishers, inc, 2003) Bohner, M; Guseinov, GS; Mathematics
    In this paper we study improper integrals on time scales. We also give some mean value theorems for integrals on time scales, which are used in the proof of an analogue of the classical Dirichlet-Abel test for improper integrals.