Iteration procedures of shuttle iteration type in continuous non-monotone problems

Rachinskii, Dmitrii (2001) Iteration procedures of shuttle iteration type in continuous non-monotone problems. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 20 (4). pp. 1031-1054. ISSN 0232-2064

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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.

Item Type: Article
Uncontrolled Keywords: POTENTIAL BOUNDS; cone semiordering; monotone operator; robust stable solution; continuous branch of solutions; second order elliptic operator
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Mar 2022 07:39
Last Modified: 08 Mar 2022 07:39
URI: https://pred.uni-regensburg.de/id/eprint/41957

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