Abstract and Applied Analysis
Volume 2006 (2006), Article ID 70692, 5 pages
doi:10.1155/AAA/2006/70692

An existence result for a semipositone problem with a sign changing weight

Jaffar Ali and R. Shivaji

Department of Mathematics, Mississippi State University, Mississippi State 39762, MS, USA

Abstract

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.