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

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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2002 - 200930
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End date: 2009

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Now showing 1 - 10 of 30
  • 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.
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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: 6
    Citation - Scopus: 6
    A Boundary Value Problem for Second Order Nonlinear Difference Equations on the Semi-Infinite Interval
    (Taylor & Francis Ltd, 2002) Guseinov, GS
    In this paper, we consider a boundary value problem (BVP) for nonlinear difference equations on the discrete semi-axis in which the left-hand side being a second order linear difference expression belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l(2) and is formed via boundary conditions at a starting point and at infinity. Existence and uniqueness results for solutions of the considered BVP are established.
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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: 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.
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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: 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.
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    Article
    Citation - WoS: 29
    Citation - Scopus: 30
    Boundary Value Problems for Second Order Nonlinear Differential Equations on Infinite Intervals
    (Academic Press inc Elsevier Science, 2004) Guseinov, GS; Yaslan, I
    In this paper, we consider boundary value problems for nonlinear differential equations on the semi-axis (0, infinity) and also on the whole axis (-infinity, infinity), under the assumption that the left-hand side being a second order linear differential expression belongs to the Weyl limit-circle case. The boundary value problems are considered in the Hilbert spaces L-2(0, infinity) and L-2(-infinity, infinity), and include boundary conditions at infinity. The existence and uniqueness results for solutions of the considered boundary value problems are established. (C) 2003 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 44
    Citation - Scopus: 46
    Integrable Equations on Time Scales -: Art. No. 113510
    (Amer inst Physics, 2005) Gürses, M; Guseinov, GS; Silindir, B
    Integrable systems are usually given in terms of functions of continuous variables (on R), in terms of functions of discrete variables (on Z), and recently in terms of functions of q-variables (on K-q). We formulate the Gel'fand-Dikii (GD) formalism on time scales by using the delta differentiation operator and find more general integrable nonlinear evolutionary equations. In particular they yield integrable equations over integers (difference equations) and over q-numbers (q-difference equations). We formulate the GD formalism also in terms of shift operators for all regular-discrete time scales. We give a method allowing to construct the recursion operators for integrable systems on time scales. Finally, we give a trace formula on time scales and then construct infinitely many conserved quantities (Casimirs) of the integrable systems on time scales. (c) 2005 American Institute of Physics.
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    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.