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

Views / Downloads

213/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

1301

Scopus Citation Count

1370

Patents

0

Projects

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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Author: Guseinov, Gusein Sh.Has files: false

Scholarly Output Search Results

Now showing 1 - 10 of 28
  • 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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    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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    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.
  • Thumbnail Image
    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.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On the Eigenfunction Expansion of the Laplace-Beltrami Operator in Hyperbolic Space
    (Taylor & Francis Ltd, 2015) Guseinov, Gusein Sh.
    We describe the spectral projection of the Laplace-Beltrami operator in n-dimensional hyperbolic space by studying its resolvent as an analytic operator-valued function and applying the technique of contour integration. As a result an integral formula is established for the associated Legendre function
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    Article
    Citation - WoS: 1
    Citation - Scopus: 3
    Spectral Approach To Derive the Representation Formulae for Solutions of the Wave Equation
    (Hindawi Publishing Corporation, 2012) Guseinov, Gusein Sh.
    Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in arbitrary dimensions. Among them are the well-known d'Alembert, Poisson, and Kirchhoff representation formulae in low space dimensions.
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    Article
    Citation - WoS: 1
    ON THE DERIVATION OF EXPLICIT FORMULAE FOR SOLUTIONS OF THE WAVE EQUATION IN HYPERBOLIC SPACE
    (Hacettepe Univ, Fac Sci, 2013) Guseinov, Gusein Sh.
    We 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.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 7
    On the Impulsive Boundary Value Problems for Nonlinear Hamiltonian Systems
    (Wiley, 2016) Guseinov, Gusein Sh.
    In this work, we deal with two-point boundary value problems for nonlinear impulsive Hamiltonian systems with sub-linear or linear growth. A theorem based on the Schauder fixed point theorem is established, which gives a result that yields existence of solutions without implications that solutions must be unique. An upper bound for the solution is also established. Examples are given to illustrate the main result. Copyright (C) 2016 John Wiley & Sons, Ltd.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On Construction of a Complex Finite Jacobi Matrix From Two Spectra
    (int Linear Algebra Soc, 2013) Guseinov, Gusein Sh.; Mathematics
    This paper concerns 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 last diagonal element of the Jacobi matrix by some other 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.