Properties of the Laplace transform on time scales with arbitrary graininess

Bohner M., Guseinov G. S., KARPUZ B.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, vol.22, no.11, pp.785-800, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 11
  • Publication Date: 2011
  • Doi Number: 10.1080/10652469.2010.548335
  • Journal Name: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.785-800
  • Keywords: Laplace transform, time scales, dynamic equation, exponential function, ASYMPTOTIC-BEHAVIOR
  • Dokuz Eylül University Affiliated: No

Abstract

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.