JournalszaaVol. 20, No. 4pp. 1031–1054

Iteration Procedures of Shuttle Iteration Type in Continuous Non-Monotone Problems

  • D. Rachinskii

    Russian Academy of Sciences, Moscow, Russian Federation
Iteration Procedures of Shuttle Iteration Type in Continuous Non-Monotone Problems cover
Download PDF

Abstract

We suggest and study iteration procedures converging from below and above to robust stable solutions and to robust stable continuous branches of solutions for quasilinear boundary-value problems with continuous non-monotone non-linearities. The iterations are constructed by modifications of the shuttle iteration method, which is used in problems with monotone operators leaving invariant a cone interval.

Cite this article

D. Rachinskii, Iteration Procedures of Shuttle Iteration Type in Continuous Non-Monotone Problems. Z. Anal. Anwend. 20 (2001), no. 4, pp. 1031–1054

DOI 10.4171/ZAA/1058