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- Title
Sign reversal of the characteristic exponents of solutions of a differential system with initial data on finitely many points and lines.
- Authors
Izobov, N.; Il'in, A.
- Abstract
We realize a version of the Perron sign reversal effect for the characteristic exponents of a two-dimensional differential system; the exponents are negative for the linear approximation system and positive for the nontrivial solutions of the full nonlinear system with a higher-order perturbation in a neighborhood of the origin and with initial data on an arbitrary finite set of points and lines on the plane R .
- Subjects
EXPONENTS; EXTERIOR differential systems; NONLINEAR systems; PERTURBATION theory; FINITE geometries
- Publication
Differential Equations, 2016, Vol 52, Issue 11, p1389
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S001226611611001X