Hüseyin, Hüseyin Şirin

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https://hdl.handle.net/20.500.14411/8081
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.
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Profesör Doktor
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Mathematics
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Former Staff
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Scholarly Output

64

Articles

59

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213/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

1301

Scopus Citation Count

1370

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0

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0

WoS Citations per Publication

20.33

Scopus Citations per Publication

21.41

Open Access Source

21

Supervised Theses

0

JournalCount
Journal of Difference Equations and Applications6
Journal of Mathematical Analysis and Applications5
Computers & Mathematics with Applications4
Hacettepe Journal of Mathematics and Statistics4
Integral Transforms and Special Functions3
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Now showing 1 - 10 of 64
  • Thumbnail Image
    Article
    Citation - WoS: 10
    Citation - Scopus: 12
    On an Inverse Problem for Two Spectra of Finite Jacobi Matrices
    (Elsevier Science inc, 2012) Guseinov, Gusein Sh.
    We solve a version of the inverse spectral problem for two spectra of finite order real Jacobi matrices. 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 last 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 procedure of reconstruction of the matrix from the two spectra is given. (C) 2012 Elsevier Inc. All rights reserved.
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    Conference Object
    On the Riemann Integration on Time Scales
    (Crc Press-taylor & Francis Group, 2004) Guseinov, GS; Kaymakçalan, B
    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: 12
    Citation - Scopus: 16
    The Laplace Transform on Isolated Time Scales
    (Pergamon-elsevier Science Ltd, 2010) Bohner, Martin; Guseinov, Gusein Sh.
    Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the Laplace transform on isolated time scales, prove several properties of the Laplace transform in this case, and establish a formula for the inverse Laplace transform. The concept of convolution is considered in more detail by proving the convolution theorem and a discrete analogue of the classical theorem of Titchmarsh for the usual continuous convolution. (C) 2010 Elsevier Ltd. All rights reserved.
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    Conference Object
    Inverse Spectral Problems for Complex Jacobi Matrices
    (Springer New York LLC, 2013) Guseinov,G.S.
    The paper deals with two versions of the inverse spectral problem for finite complex Jacobi matrices. The first is to reconstruct the matrix using the eigenvalues and normalizing numbers (spectral data) of the matrix. The second is to reconstruct the matrix using two sets of eigenvalues (two spectra), one for the original Jacobi matrix and one for the matrix obtained by deleting the last row and last column of the Jacobi matrix. Uuniqueness and existence results for solution of the inverse problems are established and an explicit procedure of reconstruction of the matrix from the spectral data is given. It is shown how the results can be used to solve finite Toda lattices subject to the complex-valued initial conditions. © Springer Science+Business Media New York 2013.
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    Article
    Citation - WoS: 3
    On Construction of a Quadratic Sturm-Liouville Operator Pencil From Spectral Data
    (inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan, 2014) Guseinov, Gusein S. H.
    Derivation of fundamental equations of the inverse spectral problem for a quadratic Sturm-Liouville operator pencil is presented. An algorithm for solving the inverse problem is offered.
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    Article
    Citation - WoS: 16
    Citation - Scopus: 15
    Dynamical Systems and Poisson Structures
    (Amer inst Physics, 2009) Guerses, Metin; Guseinov, Gusein Sh; Zheltukhin, Kostyantyn; Gürses, Metin
    We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamical systems in R-3 are locally bi-Hamiltonian. An algorithm is introduced to obtain Poisson structures of a given dynamical system. The construction of the Poisson structures is based on solving an associated first order linear partial differential equations. We find the Poisson structures of a dynamical system recently given by Bender et al. [J. Phys. A: Math. Theor. 40, F793 (2007)]. Secondly, we show that all dynamical systems in R-n are locally (n-1)-Hamiltonian. We give also an algorithm, similar to the case in R-3, to construct a rank two Poisson structure of dynamical systems in R-n. We give a classification of the dynamical systems with respect to the invariant functions of the vector field (X) over right arrow and show that all autonomous dynamical systems in R-n are super-integrable. (C) 2009 American Institute of Physics. [doi:10.1063/1.3257919]
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    Article
    Citation - WoS: 56
    Citation - Scopus: 68
    The h-laplace and q-laplace Transforms
    (Academic Press inc Elsevier Science, 2010) Bohner, Martin; Guseinov, Gusein Sh.
    Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the particular concepts of the h-Laplace and q-Laplace transforms. The convolution and inversion problems for these transforms are considered in some detail. (c) 2009 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    An Application of Spectral Theory of the Laplace Operator
    (Taylor & Francis Ltd, 2013) Guseinov, Gusein Sh.
    We describe the structure of arbitrary rapidly decreasing functions of the Laplace operator. Combining this with the spectral data of the periodic Laplace operator we develop a generalization of the classical Poisson summation formula.
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    Conference Object
    Citation - WoS: 6
    Discrete calculus of variations
    (Amer inst Physics, 2004) Guseinov, GS
    The 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.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    An Inverse Problem for Two Spectra of Complex Finite Jacobi Matrices
    (Tech Science Press, 2012) Guseinov, Gusein Sh.; Mathematics
    This 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.