On solvability of the integrodifferential hyperbolic equation with purely nonlocal conditions

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

Acta Mathematica Scientia, vol.35, no.3, pp.601-609, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1016/s0252-9602(15)30006-0
  • Journal Name: Acta Mathematica Scientia
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.601-609
  • Keywords: Integro-differential hyperbolic equation, approximate solution, nonlocal purely conditions, CAUCHY-PROBLEM, EXISTENCE, INVERSION
  • Dokuz Eylül University Affiliated: No

Abstract

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.