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Author: Guseinov, Gusein Sh.Subject: time scales

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Now showing 1 - 4 of 4
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    Article
    Citation - WoS: 27
    Citation - Scopus: 39
    Properties of the Laplace transform on time scales with arbitrary graininess
    (Taylor & Francis Ltd, 2011) Bohner, Martin; Guseinov, Gusein Sh.; Karpuz, Basak
    We generalize several standard properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Some of these properties were justified earlier under certain restrictions on the graininess of the time scale. In this work, we have no restrictions on the graininess.
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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.
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    Article
    Citation - WoS: 77
    Citation - Scopus: 85
    Double Integral Calculus of Variations on Time Scales
    (Pergamon-elsevier Science Ltd, 2007) Bohner, Martin; Guseinov, Gusein Sh.
    We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among them an analogue of the Euler-Lagrange equation. (C) 2007 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 22
    Line Integrals and Green's Formula on Time Scales
    (Academic Press inc Elsevier Science, 2007) Bohner, Martin; Guseinov, Gusein Sh.
    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.