On solvability of the integrodifferential hyperbolic equation with purely nonlocal conditions

Merad A., Bouziani A., Ozel C., Kiliçman A.

Acta Mathematica Scientia, cilt.35, sa.3, ss.601-609, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/s0252-9602(15)30006-0
  • Dergi Adı: Acta Mathematica Scientia
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.601-609
  • Anahtar Kelimeler: Integro-differential hyperbolic equation, approximate solution, nonlocal purely conditions, CAUCHY-PROBLEM, EXISTENCE, INVERSION
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

In this study, we prove the existence, uniqueness, and continuous dependence upon the data of solution to integro-differential hyperbolic equation with purely nonlocal (integral) conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution using a numerical technique (Stehfest algorithm) by inverting the Laplace transform.