Filters

2003 - 20074
Reset filters

Settings

Subject: time scalesWoS Q: Q1

Search Results

Now showing 1 - 4 of 4
  • 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: 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.
  • Thumbnail Image
    Article
    Citation - WoS: 281
    Citation - Scopus: 309
    Integration on Time Scales
    (Academic Press inc Elsevier Science, 2003) Guseinov, GS; Hüseyin, Hüseyin Şirin; Hüseyin, Hüseyin Şirin; Mathematics; 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.
  • Thumbnail Image
    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.