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EIGENVALUE PROBLEMS FOR SINGULAR ODES

Published online by Cambridge University Press:  09 December 2010

DONAL O'REGAN  and
ALEKSANDRA ORPEL
DONAL O'REGAN
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland
ALEKSANDRA ORPEL
Affiliation:
Faculty of Mathematics and Computer Science, University of Lodz, Poland e-mail: orpela@math.uni.lodz.pl
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Abstract

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We investigate eigenvalue intervals for the Dirichlet problem when the nonlinearity may be singular at t = 0 or t = 1. Our approach is based on variational methods and cover both sublinear and superlinear cases. We also study the continuous dependence of solutions on functional parameters.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 2 , May 2011 , pp. 301 - 312
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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