A Singular Perturbation Result and its Application to Mathematical Ecology

Conditions are given for the solutions of the equation ε Au = F(u) to converge to the solution of the limit nonlinear equation F(u) = 0 as ε → 0. Applications to existence and uniqueness of the positive solutions of an elliptic predator-prey system are given.

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1991-04, Vol.111 (4), p.1043-1050
Main Authors: Li, Lige, Ramm, A. G.
Format: Article
Language:English
Subjects:
Applied ecology
Dirichlet problem
Ecological balance
Exact sciences and technology
Hilbert spaces
Linear transformations
Mathematical analysis
Mathematical constants
Mathematical theorems
Mathematics
Partial differential equations
Sciences and techniques of general use
Semigroups
Uniqueness
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Conditions are given for the solutions of the equation ε Au = F(u) to converge to the solution of the limit nonlinear equation F(u) = 0 as ε → 0. Applications to existence and uniqueness of the positive solutions of an elliptic predator-prey system are given.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1991-1043414-6