THE EXTENSION OF PICARD SUCCESSIVE APPROXIMATION FOR CONSTRUCTING 2-SIDE BOUNDS FOR THE SOLUTIONS OF DIFFERENTIAL-EQUATIONS


OZIS T.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.39, ss.7-14, 1992 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 1
  • Basım Tarihi: 1992
  • Doi Numarası: 10.1016/0377-0427(92)90217-l
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.7-14

Özet

In this study, classical two-side bounds to approximate the solution of differential equations in integral form are considered in order to obtain the solution as a fixed point of monotone decreasing operators. The existence and uniqueness of the solution is proved when the operators considered are monotone decreasing and the bounds are given for the solution.