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- Title
Justification of the averaging method for differential equations with large rapidly oscillating summands and boundary conditions.
- Authors
Levenshtam, V.; Shubin, P.
- Abstract
The averaging method is justified for normal systems of differential equations with rapidly oscillating summands proportional to the square root of the oscillation frequency in the case of the boundary-value problem on a finite interval and for the problem of bounded solutions on the positive semiaxis with boundary condition at its left endpoint.
- Subjects
DIFFERENTIAL equations; BOUNDARY value problems; AVERAGING method (Differential equations); CAUCHY problem; MATHEMATICAL functions
- Publication
Mathematical Notes, 2016, Vol 100, Issue 1/2, p80
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434616070075