Yazar "Guseinov G.Sh." seçeneğine göre listele

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    Instability Intervals of a Hill's Equation with Piecewise Constant and Alternating Coefficient
    (Elsevier Ltd, 2004) Guseinov G.Sh.; Karaca I.Y.
    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.
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    On Hill's equation with piecewise constant coefficient
    (1997) Yaslan I.; Guseinov G.Sh.
    In this paper the eigenvalues of the periodic and the semi-periodic boundary value problems associated with Hill's equation are investigated in the case of piecewise constant coefficient. As a corollary the asymptotic formula for the lengths of the instability intervals of Hill's equation is derived and it is shown that they increase beyond all bounds. Also, the conditions for coexistence of periodic and semi-periodic solutions are indicated. © TÜBİTAK.
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    On the expansions in eigenfunctions of Hill's operator
    (2001) Aras F.; Guseinov G.Sh.
    In this paper we show how one can deduce the Titchmarsh expansion formula in eigenfunctions of Hill's operator from the Gel'fand expansion formula. © TÜBİTAK.
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    On the theory of a certain class of quadratic pencils of matrices and its applications
    (1997) Guseinov G.Sh.; Oturanç G.
    This paper is devoted to the study of the properties of eigenvalues and eigenvectors of quadratic pencil ?2C - ?R - J, where C is a positive diagonal matrix, R is an arbitrary real diagonal matrix, J is a "tridiagonal" real symmetric and positive matrix. The obtained results are then used to solve the corresponding system of differential equations with boundary and initial conditions. © TÜBİTAK.
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    Properties of discrete composition operators
    (2005) Dal F.; Guseinov G.Sh.
    In this paper, we study the continuity and boundedness properties of the composition operator Fy (t) = f (t, y (t)) where t is a discrete independent variable. A necessary and sufficient condition for the acting of F from a space lp1 (P1 ? 1) into another lp2(p2 ? 1) is also established.
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    Tangent lines of generalized regular curves parametrized by time scales
    (2001) Guseinov G.Sh.; Özyilmaz E.
    In this paper a generalization of the notion of regular curve is introduced. For such curves the concept of tangent line is investigated. © Tübi·tak.