No CrossRef data available.
Article contents
Estimates for the state density for ordinary differential operators with white gaussian noise potential
Published online by Cambridge University Press: 14 November 2011
Synopsis
The present paper is concerned with developing the existence and asymptotic properties of the state density N(λ) associated with certain higher order random ordinary differential operators A of the form
where Ao has homogeneous and ergodic coefficients with respect to the σ-algebra generated by the Wiener process q(ω, x). The analysis uses the Weyl min-max principle to determine rough upper and lower bounds for N(λ).
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 3-4 , 1983 , pp. 263 - 274
- Copyright
- Copyright © Royal Society of Edinburgh 1983