Article contents
A stability problem with algebraic aspects
Published online by Cambridge University Press: 14 November 2011
Synopsis
We consider the set S(f) of λ-values for which there exists a function g ∊ L(t0, ∞) such that
has a solution not tending to 0; here f is a fixed function which is positive, non-decreasing and tends to ∞ with t. It is shown that if the jumps of logf(t) at its discontinuities are uniformly bounded, then S(f) is an additive group. This group is determined in some cases; some related groups are noted, which may coincide with S(f).
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 78 , Issue 3-4 , 1978 , pp. 299 - 314
- Copyright
- Copyright © Royal Society of Edinburgh 1978
References
- 4
- Cited by