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EIGENVALUE PROBLEMS FOR SINGULAR ODES

Published online by Cambridge University Press:  09 December 2010

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
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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