Hüseyin, Hüseyin Şirin

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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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Scholarly Output

47

Articles

45

Citation Count

984

Supervised Theses

0

Scholarly Output Search Results

Now showing 1 - 10 of 47
  • Article
    Citation Count: 3
    Description of the structure of arbitrary functions of the Laplace-Beltrami operator in hyperbolic space
    (Taylor & Francis Ltd, 2013) Hüseyin, Hüseyin Şirin; Mathematics
    We describe the structure of an arbitrary rapidly decreasing function of the Laplace-Beltrami operator in n-dimensional hyperbolic space showing that the function of the Laplace-Beltrami operator is an integral operator and giving an explicit formula for its kernel.
  • Article
    Citation Count: 4
    A class of complex solutions to the finite Toda lattice
    (Pergamon-elsevier Science Ltd, 2013) Hüseyin, Hüseyin Şirin; Mathematics
    In this paper, a class of complex-valued solutions to the finite Toda lattice is constructed by using the inverse spectral method. The corresponding Lax operator is a finite complex Jacobi matrix. As the initial values there are taken such complex numbers that the corresponding Jacobi matrix has a simple spectrum. Some examples are given. (C) 2012 Elsevier Ltd. All rights reserved.
  • Article
    Citation Count: 11
    Boundary value problems for nonlinear impulsive Hamiltonian systems
    (Elsevier Science Bv, 2014) Hüseyin, Hüseyin Şirin; Mathematics
    We study two point boundary value problems for nonlinear impulsive Hamiltonian systems. Spectral analysis of the corresponding linear impulsive Hamiltonian system and a fixed point theorem are employed to obtain an existence and uniqueness result for solutions of the nonlinear problem. Two examples are given in which the main condition is made explicit. (C) 2013 Elsevier B.V. All rights reserved.
  • Article
    Citation Count: 2
    Existence of solutions to second-order nonlinear discrete elliptic equations
    (Taylor & Francis Ltd, 2009) Hüseyin, Hüseyin Şirin; Mathematics
    In this paper, we consider a boundary value problem (BVP) for second-order nonlinear partial difference equations on finite lattice domains. Some conditions are established that ensure existence and uniqueness of solutions to the BVP under consideration.
  • Article
    Citation Count: 268
    Integration on time scales
    (Academic Press inc Elsevier Science, 2003) Hüseyin, Hüseyin Şirin; Mathematics
    In this paper we study the process of Riemann and Lebesgue integration oil time scales. The relationship of the Riemann and Lebesgue integrals is considered and a criterion for Riemann integrability is established. (C) 2003 Elsevier Inc. All rights reserved.
  • Article
    Citation Count: 0
    ON THE FUNCTIONS OF TWO COMMUTING LAPLACE-BELTRAMI OPERATORS IN HYPERBOLIC SPACE
    (Pergamon-elsevier Science Ltd, 2014) Hüseyin, Hüseyin Şirin; Mathematics
    We describe the structure of arbitrary rapidly decreasing two-variable function of two commuting Laplace-Beltrami operators in the product of two many-dimensional hyperbolic spaces showing that the function of the commuting Laplace-Beltrami operators is an integral operator and giving an explicit formula for its kernel.
  • Article
    Citation Count: 17
    Line integrals and Green's formula on time scales
    (Academic Press inc Elsevier Science, 2007) Hüseyin, Hüseyin Şirin; Guseinov, Gusein Sh.; Mathematics
    In this paper we study curves parametrized by a time scale parameter, introduce line delta and nabla integrals along time scale curves, and obtain an analog of Green's formula in the time scale setting. (c) 2006 Elsevier Inc. All rights reserved.
  • Article
    Citation Count: 61
    On the concept of spectral singularities
    (indian Acad Sciences, 2009) Hüseyin, Hüseyin Şirin; Mathematics
    In this paper, we discuss the concept of spectral singularities for non-Hermitian Hamiltonians. We exihibit spectral singularities of some well-known concrete Hamiltonians with complex-valued coefficients.
  • Article
    Citation Count: 3
    Instability Intervals of a Hill's Equation with Piecewise Constant and Alternating Coefficient
    (Elsevier Ltd, 2004) Hüseyin, Hüseyin Şirin; Karaca,I.Y.; Mathematics
    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. © 2004 Elsevier Ltd. All rights reserved.
  • Article
    Citation Count: 78
    Lyapunov inequalities for discrete linear Hamiltonian systems
    (Pergamon-elsevier Science Ltd, 2003) Hüseyin, Hüseyin Şirin; Kaymakçalan, B; Mathematics
    In this paper, we present some Lyapunov type inequalities for discrete linear scalar Hamiltonian systems when the coefficient c(t) is not necessarily nonnegative valued and when the end-points are not necessarily usual zeros, but rather, generalized zeros. Applying these inequalities, we obtain some disconjugacy and stability criteria for discrete Hamiltonian systems. (C) 2003 Elsevier Science Ltd. All rights reserved.