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On the Asymptotic Behavior with Respect to a Parameter of Solutions of Differential Systems with Coefficients in the Class L q
- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Partial Differential Equations; Difference and Functional Equations; Ordinary Differential Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266112040027
- Publisher site
- See Article on Publisher Site
Abstract
For a linear differential expression with matrix coefficients in the class L p , p ≥ 2, and with a parameter λ, we consider a boundary value problem with boundary conditions at the endpoints of the interval [a, b]. Under the condition that the problem is regular, we obtain a formula for the Fourier series expansion of an arbitrary vector function of the class L p in the root functions of the problem.
Journal
Differential Equations – Springer Journals
Published: May 28, 2012