Finite-dimensional Perron effect of change of all values of characteristic exponents of differential systems View Full Text


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Article Info

DATE

2013-12

AUTHORS

N. A. Izobov, A. V. Il’in

ABSTRACT

We obtain a finite-dimensional Perron effect of change of values λ1 ≤ … ≤ λn < 0 of all arbitrarily specified negative characteristic exponents of the n-dimensional system of linear approximation with infinitely differentiable bounded coefficients to arbitrarily specified, arranged in ascending order, values βk ≥ λk, k = 1, …, n, of characteristic exponents of all nontrivial solutions of an n-dimensional nonlinear differential system with an infinitely differentiable perturbation of arbitrary order m > 1 of smallness in a neighborhood of the origin and growth outside it. Each value βk is realized by all nontrivial solutions of the perturbed system issuing from the difference Rk|Rk−1 of embedded subspaces R1 ⊂ R2 ⊂ … ⊂ Rn. More... »

PAGES

1476-1489

Journal

TITLE

Differential Equations

ISSUE

12

VOLUME

49

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0012266113120021

DOI

http://dx.doi.org/10.1134/s0012266113120021

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043090837


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