On Γ-limit classes of perturbations defined by integral conditions

For the coefficients of linear differential systems, we consider classes of piecewise continuous perturbations that are infinitesimal in mean on the positive half-line with some positive piecewise continuous weight belonging to a given set. We obtain sufficient conditions for such a class to be Γ-li...

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Bibliographic Details
Published in:Differential equations 2016-10, Vol.52 (10), p.1293-1299
Main Author: Makarov, E. K.
Format: Article
Language:English
Subjects:
Computation
Difference and Functional Equations
Differential equations
Exponents
Formulas (mathematics)
Integrals
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Perturbation methods
Upper bounds
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Summary:For the coefficients of linear differential systems, we consider classes of piecewise continuous perturbations that are infinitesimal in mean on the positive half-line with some positive piecewise continuous weight belonging to a given set. We obtain sufficient conditions for such a class to be Γ-limit, i.e., to admit the computation of a reachable upper bound of the exponents of linear differential systems with perturbations in that class by a formula similar to the well-known formulas for the central and exponential exponents.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266116100050