On the solution of a class of the reduced wave equation and the Riccati differential equation


Misir A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.216, sa.5, ss.1375-1382, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 216 Konu: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.amc.2010.03.008
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.1375-1382

Özet

In this paper we present an "iteration" technique for a class of differential equation having the form z '' = lambda z, where lambda is a function in C(infinity). We show that we can construct not only the general solution of the reduced wave equation but also the general solution of the Riccati differential equation by using this iteration technique if the given function lambda is satisfies the condition