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- Title
Existence of a solution and averaging of nonlinear multifrequency problems with delay.
- Authors
Bihun, Ya.
- Abstract
The method of averaging over the fast variables is applied to the investigation of multifrequency systems with linearly transformed argument. We prove the existence of solutions of the initial-and boundary-value problems in a small neighborhood of the solution of the averaged problem and estimate the error of the method of averaging for slow variables.
- Subjects
AVERAGING method (Differential equations); NONLINEAR statistical models; BOUNDARY value problems; DIFFERENTIAL equations; COMPLEX variables
- Publication
Ukrainian Mathematical Journal, 2007, Vol 59, Issue 4, p485
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-007-0030-3