Semi-positone nonlocal boundary value problems of arbitrary order

Webb, J.R.L. and Infante, G. (2009) Semi-positone nonlocal boundary value problems of arbitrary order. Communications on Pure and Applied Analysis, 9(2), pp. 563-581. (doi: 10.3934/cpaa.2010.9.563)

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Publisher's URL: http://dx.doi.org/10.3934/cpaa.2010.9.563

Abstract

We give a unified approach to the study of existence of multiple positive solutions for semi-positone boundary value problems of arbitrary order. We cover local and nonlocal boundary conditions. Our nonlocal boundary conditions are quite general, they involve positive linear functionals on the space C[0, 1], given by Stieltjes integrals. With our general theory, we can, for the first time in semi-positone problems, allow any number of the boundary conditions to be nonlocal.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Infante, Dr Gennaro and Webb, Professor Jeffrey
Authors: Webb, J.R.L., and Infante, G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Communications on Pure and Applied Analysis
ISSN:1534-0392

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