Positive solutions to logistic type equations with harvesting

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:247

Article

Girao, Pedro²  Tehrani, Hossein¹ 

[1] Univ Nevada, Las Vegas, NV 89154 USA

[2] IST, P-1049001 Lisbon, Portugal

关键词: Logistic equation;    Harvesting;    Comparison principles;    Elliptic equations;   

DOI  :  10.1016/j.jde.2009.02.008

来源: Elsevier

【 摘 要 】

We use comparison principles, variational arguments and a truncation method to obtain positive solutions to logistic type equations with harvesting both ill RN and in a bounded domain Omega subset of R-N. with N >= 3, when the carrying capacity of the environment is not constant. By relaxing the growth assumption on the coefficients of the differential equation we derive a new equation which is easily solved. The solution of this new equation is then used to produce a positive solution of our original problem. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free