Article contents
16.—Square Integrable Solutions of Perturbed Linear Differential Equations*
Published online by Cambridge University Press: 14 February 2012
Synopsis
This paper is concerned with solutions of the ordinary differential equation
where ℒ is a real formally self-adjoint, linear differential expression of order 2n, and the perturbed term f satisfies
for some σ∈[0, 1]. Here λ(·) is locally integrable on [0,∞).
In particular it is shown, under circumstances detailed in the text, that (*) possesses solutions in the Hilbert function space L2(0,∞).
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 73 , 1975 , pp. 251 - 254
- Copyright
- Copyright © Royal Society of Edinburgh 1975
References
- 2
- Cited by