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On the growth of solutions to second order differential equations in Banach spaces
Published online by Cambridge University Press: 14 November 2011
Synopsis
We obtain estimates for the exponential growth of the solutions to u″(t) = (A + ζ2I)u(t) in terms of the exponential growth of the solutions to u″(t) = Au(t), where ζ is an arbitrary complex number. Estimates in exponentially weighted L2 norms are also considered in Hilbert space.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 3-4 , 1985 , pp. 237 - 252
- Copyright
- Copyright © Royal Society of Edinburgh 1985
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