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- Title
BOUND SETS AND TWO-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DIFFERENTIAL SYSTEMS.
- Authors
MAWHIN, JEAN; SZYMAŃSKA-DĘBOWSKA, KATARZYNA
- Abstract
The solvability of second order differential systems with the classical separated or periodic boundary conditions is considered. The proofs use special classes of curvature bound sets or bound sets together with the simplest version of the Leray-Schauder continuation theorem. The special cases where the bound set is a ball, a parallelotope or a bounded convex set are considered.
- Subjects
BOUNDARY value problems; CURVATURE; EXTERIOR differential systems; CONTINUATION methods; FUNCTIONAL analysis
- Publication
Mathematica Bohemica, 2019, Vol 144, Issue 4, p373
- ISSN
0862-7959
- Publication type
Article
- DOI
10.21136/MB.2019.0014-19