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A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions

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Abstract

We consider the existence of at least one positive solution to a semipositone boundary value problem with nonlocal, nonlinear boundary conditions, which can be quite general since the nonlinearity is realized as a Stieltjes integral. By assuming that the associated Stieltjes measure decomposes in a certain way, the classical Leray-Schauder degree is utilized to derive the existence result.

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Authors and Affiliations

  1. Department of Mathematics, Creighton Preparatory School, Omaha, NE, 68114, USA

    Christopher S. Goodrich

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  1. Christopher S. Goodrich
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Correspondence to Christopher S. Goodrich.

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Goodrich, C.S. A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Arch. Math. 103, 177–187 (2014). https://doi.org/10.1007/s00013-014-0678-5

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  • DOI: https://doi.org/10.1007/s00013-014-0678-5

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