Hüseyin, Hüseyin Şirin

Profile Picture
Profile URL
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.
Job Title
Profesör Doktor
Email Address
Main Affiliation
Mathematics
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

Sustainable Development Goals

SDG data is not available
This researcher does not have a Scopus ID.
This researcher does not have a WoS ID.
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
Current Page: 1 / 8

Scopus Quartile Distribution

Competency Cloud

GCRIS Competency Cloud

Filters

2002 - 200930
Reset filters

Settings

End date: 2009Start date: 2002

Scholarly Output Search Results

Now showing 1 - 10 of 30
  • Thumbnail Image
    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.
  • Thumbnail Image
    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]
  • Thumbnail Image
    Article
    Citation - WoS: 33
    Citation - Scopus: 46
    Higher-Order Self-Adjoint Boundary-Value Problems on Time Scales
    (Elsevier Science Bv, 2006) Anderson, Douglas R.; Guseinov, Gusein Sh.; Hoffacker, Joan
    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.
  • Thumbnail Image
    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
    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.
  • Thumbnail Image
    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.
  • Thumbnail Image
    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
    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.
  • Thumbnail Image
    Article
    Citation - WoS: 4
    An Introduction To Complex Functions on Products of Two Time Scales
    (Taylor & Francis Ltd, 2006) Bohner, Martin; Guseinov, Gusein SH.
    In this paper, we study the concept of analyticity for complex-valued functions of a complex time scale variable, derive a time scale counter-part of the classical Cauchy-Riemann equations, introduce complex line delta and nabla integrals along time scales curves, and obtain a time scale version of the classical Cauchy integral theorem.
  • Thumbnail Image
    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.
  • Thumbnail Image
    Article
    Citation - WoS: 52
    Citation - Scopus: 62
    Basics of Riemann Delta and Nabla Integration on Time Scales
    (Taylor & Francis Ltd, 2002) Guseinov, GS; Kaymakçalan, B; Kaymaķalan, 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.