Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2753

Full Length Research Paper

Hyers-Ulam stability of non-homogeneous Euler equations of third and fourth order

Cemil Tunç* and Emel Biçer        
Department of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080, Van – Turkey.
Email: [email protected]

  •  Accepted: 11 December 2012
  •  Published: 28 February 2013

Abstract

 

The aim of this paper is to prove the stability in the sense of Hyers-Ulam to non-homogeneous Euler equations of third and fourth order: andIt is shown that if fis an approximate solution of any of these equations, then there exists an exact solution of the equation considered near to f.

 

Key words:  Hyers-Ulam stability, Euler equation, third and fourth order.