Nonlinear eigenvalue problems for a class of ordinary differential equations
Published online by Cambridge University Press: 12 July 2007
Abstract
We consider the class of nonlinear eigenvalue problems
where yp* = |y|p sgn y, pi > 0 and p0p1 … pn−1 = r, with various boundary conditions. We prove the existence of eigenvalues and study the zero properties and structure of the corresponding eigenfunctions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 6 , December 2002 , pp. 1333 - 1359
- Copyright
- Copyright © Royal Society of Edinburgh 2002
- 2
- Cited by