Article contents
Existence and L∞ estimates for a class of singular ordinary differential equations
Published online by Cambridge University Press: 17 April 2009
Extract
We prove the existence of a positive solution to an equation of the form (1/Φ(t)) (Φ(t)u′(t))′ = f(u(t)) with Dirichlet conditions where the friction term Φ′/Φ is increasing. Our method combines variational and topological arguments and provides an L∞ estimate of the solution.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 429 - 440
- Copyright
- Copyright © Australian Mathematical Society 2004
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