An existence result for a semipositone problem with a sign changing weight
We establish an existence result on positive solution for a class of reaction-diffusion equation with semipositone structure. In particular, our results apply to the diffusive logistic equation with a class of sign changing weight and constant yield harvesting. We establish the result via the method...
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Format: | Article |
Language: | English |
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Wiley
2006-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/AAA/2006/70692 |
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author | Jaffar Ali R. Shivaji |
author_facet | Jaffar Ali R. Shivaji |
author_sort | Jaffar Ali |
collection | DOAJ |
description | We establish an existence result on positive solution for a class
of reaction-diffusion equation with semipositone structure. In
particular, our results apply to the diffusive logistic equation
with a class of sign changing weight and constant yield
harvesting. We establish the result via the method of subsuper
solutions. |
format | Article |
id | doaj-art-7cd6e4162d9149a2a7be0723085ffb28 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2006-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-7cd6e4162d9149a2a7be0723085ffb282025-02-03T06:05:31ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/7069270692An existence result for a semipositone problem with a sign changing weightJaffar Ali0R. Shivaji1Department of Mathematics, Mississippi State University, Mississippi State 39762, MS, USADepartment of Mathematics, Mississippi State University, Mississippi State 39762, MS, USAWe establish an existence result on positive solution for a class of reaction-diffusion equation with semipositone structure. In particular, our results apply to the diffusive logistic equation with a class of sign changing weight and constant yield harvesting. We establish the result via the method of subsuper solutions.http://dx.doi.org/10.1155/AAA/2006/70692 |
spellingShingle | Jaffar Ali R. Shivaji An existence result for a semipositone problem with a sign changing weight Abstract and Applied Analysis |
title | An existence result for a semipositone problem with a sign changing weight |
title_full | An existence result for a semipositone problem with a sign changing weight |
title_fullStr | An existence result for a semipositone problem with a sign changing weight |
title_full_unstemmed | An existence result for a semipositone problem with a sign changing weight |
title_short | An existence result for a semipositone problem with a sign changing weight |
title_sort | existence result for a semipositone problem with a sign changing weight |
url | http://dx.doi.org/10.1155/AAA/2006/70692 |
work_keys_str_mv | AT jaffarali anexistenceresultforasemipositoneproblemwithasignchangingweight AT rshivaji anexistenceresultforasemipositoneproblemwithasignchangingweight AT jaffarali existenceresultforasemipositoneproblemwithasignchangingweight AT rshivaji existenceresultforasemipositoneproblemwithasignchangingweight |