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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A singular perturbation result and its application to mathematical ecology


Authors: Lige Li and A. G. Ramm
Journal: Proc. Amer. Math. Soc. 111 (1991), 1043-1050
MSC: Primary 35J55; Secondary 35B25, 47A55, 47D06, 92D40
MathSciNet review: 1043414
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Abstract: Conditions are given for the solutions of the equation $ \varepsilon Au = F(u)$ to converge to the solution of the limit nonlinear equation $ F(u) = 0$ as $ \varepsilon \to 0$. Applications to existence and uniqueness of the positive solutions of an elliptic predator-prey system are given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1043414-6
PII: S 0002-9939(1991)1043414-6
Article copyright: © Copyright 1991 American Mathematical Society