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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Main Affiliation
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

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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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Scholarly Output Search Results

Now showing 1 - 10 of 13
  • Thumbnail Image
    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: 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
    A boundary value problem for second-order nonlinear difference equations on the integers
    (Cambridge Univ Press, 2005) Dal, F; Guseinov, GS
    In 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.
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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: 15
    Multiple Lebesgue Integration on Time Scales
    (Hindawi Publishing Corporation, 2006) Bohner, Martin; Guseinov, Gusein Sh.
    We study the process of multiple Lebesgue integration on time scales. The relationship of the Riemann and the Lebesgue multiple integrals is investigated. Copyright (c) 2006 M. Bohner and G. Sh. Guseinov.
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    Article
    Citation - WoS: 89
    Citation - Scopus: 99
    Multiple Integration on Time Scales
    (Dynamic Publishers, inc, 2005) Bohner, M; Guseinov, GS; Mathematics
    In this paper an introduction to integration theory for multivariable functions on time scales is given. Such an integral calculus can be used to develop a theory of partial dynamic equations on time scales in order to unify and extend the usual partial differential equations and partial difference equations.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Surface Areas and Surface Integrals on Time Scales
    (Dynamic Publishers, inc, 2010) Bohner, Martin; Guseinov, Gusein Sh; Mathematics
    We study surfaces parametrized by time scale parameters, obtain an integral fomula for computing the area of time scale surfaces, introduce delta integrals over time scale surfaces, and give sufficient conditions that ensure existence of these integrals
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    Conference Object
    Citation - WoS: 67
    Improper Integrals on Time Scales
    (Dynamic Publishers, inc, 2003) Bohner, M; Guseinov, GS
    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.
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    Article
    Citation - WoS: 47
    Citation - Scopus: 63
    The Convolution on Time Scales
    (Hindawi Publishing Corporation, 2007) Bohner, Martin; Guseinov, Gusein Sh.
    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.
  • Thumbnail Image
    Conference Object
    Time Evolution of the Spectral Data Associated With the Finite Complex Toda Lattice
    (Springer-verlag Berlin, 2012) Huseynov, Aydin; Guseinov, Gusein Sh.
    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.