Article contents
On the complex oscillation for a class of homogeneous linear differential equations
Published online by Cambridge University Press: 20 January 2009
Abstract
Using a combined dominant condition, we obtain general results concerning the complex oscillation for a class of homogeneous linear differential equations w(k) + + … + A1w′ + (A0 + A)w = 0 with k ≥ 2, which has been investigated by many authors. In particular, we discover that there exists a unique case that possesses k linearly independent zero-free solutions for these equations, and we resolve an open problem and simultaneously answer a question of Bank.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 1 , February 2000 , pp. 1 - 13
- Copyright
- Copyright © Edinburgh Mathematical Society 2000
References
- 1
- Cited by