Euler's difference equation

  • Authors:

  • Vjekoslav Sajfert;Zvonko Sajfert;Dejan Dordevic;Cari¡a Be¡ic;Bratislav To¡ic;Jovan P.  etrajčic

  • Affiliations:

  • Technical Faculty "M. Pupin", Zrenjanin, Djure Djakovica b.b., University of Novi Sad, Serbia;Technical Faculty "M. Pupin", Zrenjanin, Djure Djakovica b.b., University of Novi Sad, Serbia;Technical Faculty "M. Pupin", Zrenjanin, Djure Djakovica b.b., University of Novi Sad, Serbia;Technical Faculty "M. Pupin", Zrenjanin, Djure Djakovica b.b., University of Novi Sad, Serbia;Vojvodina Academy of Sciences and Arts, Serbia;Institute of Physics, University of Novi Sad, Serbia

  • Venue:
  • MCBE'07 Proceedings of the 8th Conference on 8th WSEAS Int. Conference on Mathematics and Computers in Business and Economics - Volume 8
  • Year:
  • 2007

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Abstract

It is well known that Euler's differential equation is the unique one which can be translated into difference equation with constant coefficients by substitution of argument. We tried to solve the corresponding difference equation (we called ti Euler's difference equation). It turned out that Euler's difference equation could't be reduced to difffernce equation with constant coefficients in general case. It is possible only in the case when sum of coefficients in Euler's difference equation is equal to zero. This case was investigated in detail and two linear independent particular solutions are found.