Existence results for superlinear semipositone BVP’s
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- by V. Anuradha, D. D. Hai and R. Shivaji
- Proc. Amer. Math. Soc. 124 (1996), 757-763
- DOI: https://doi.org/10.1090/S0002-9939-96-03256-X
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Abstract:
We consider the existence of positive solutions to the BVP \begin{gather*} (p(t)u’)’ + \lambda f(t,u)=0,\qquad r<t<R,\ au(r)-bp(r)u’(r)=0,\ cu(R) +dp(R)u’(R)=0, \end{gather*} where $\lambda >0$. Our results extend some of the existing literature on superlinear semipositone problems and singular BVPs. Our proofs are quite simple and are based on fixed point theorems in a cone.References
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Bibliographic Information
- V. Anuradha
- Affiliation: Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, Arkansas 72212
- D. D. Hai
- Email: dang@math.msstate.edu
- R. Shivaji
- Affiliation: Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762
- MR Author ID: 160980
- Email: shivaji@math.msstate.edu
- Received by editor(s): June 10, 1994
- Additional Notes: The third author was partially supported by NSF Grants DMS-9215027. This author also thanks the CDSNS at Georgia Institute of Technology, Atlanta, GA, for providing a Visiting Research Scientist position (Fall 1993) during which time this work was completed
- Communicated by: Hal Smith
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 757-763
- MSC (1991): Primary 34B15
- DOI: https://doi.org/10.1090/S0002-9939-96-03256-X
- MathSciNet review: 1317029