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Positive solutions in the sense of distributions of singular boundary value problems

Author(s): Ravi P. Agarwal; Kanishka Perera; Donal O'Regan
Journal: Proc. Amer. Math. Soc. 136 (2008), 279-286.
MSC (2000): Primary 34B16; Secondary 47J30
Posted: October 18, 2007
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Abstract: We obtain positive solutions in the sense of distributions of singular boundary value problems using perturbation and variational methods.

References:

1.: Ravi P. Agarwal and Donal O'Regan.
Singular differential and integral equations with applications.
Kluwer Academic Publishers, Dordrecht, 2003. MR 2011127 (2004h:34002)
2.: Giovanna Cerami.
An existence criterion for the critical points on unbounded manifolds.
Istit. Lombardo Accad. Sci. Lett. Rend. A, 112(2):332-336 (1979), 1978. MR 581298 (81k:58021)

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Additional Information:

Ravi P. Agarwal
Affiliation: Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901
Email: agarwal@fit.edu

Kanishka Perera
Affiliation: Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901
Email: kperera@fit.edu

Donal O'Regan
Affiliation: Department of Mathematics, National University of Ireland, Galway, Ireland
Email: donal.oregan@nuigalway.ie

DOI: 10.1090/S0002-9939-07-09105-8
PII: S 0002-9939(07)09105-8
Keywords: Singular boundary value problems, positive solutions in the sense of distributions, perturbation and variational methods
Received by editor(s): November 14, 2005
Received by editor(s) in revised form: January 22, 2007
Posted: October 18, 2007
Communicated by: Carmen C. Chicone
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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