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 |
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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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