Further properties of the Laplace transform on time scales with arbitrary graininess

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

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.24, sa.4, ss.289-301, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 4
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1080/10652469.2012.689300
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.289-301
  • Anahtar Kelimeler: time scales, Laplace transform, time scale exponential function, translation theorems
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

In this work, we generalize several properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Among them are translation theorems, transforms of periodic functions, integration of transforms, transforms of derivatives and integrals, and asymptotic values.