Properties of the Laplace transform on time scales with arbitrary graininess

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

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.22, sa.11, ss.785-800, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 11
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1080/10652469.2010.548335
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.785-800
  • Anahtar Kelimeler: Laplace transform, time scales, dynamic equation, exponential function, ASYMPTOTIC-BEHAVIOR
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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.