A singular perturbation result and its application to mathematical ecology
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- by Lige Li and A. G. Ramm PDF
- Proc. Amer. Math. Soc. 111 (1991), 1043-1050 Request permission
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.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 1043-1050
- MSC: Primary 35J55; Secondary 35B25, 47A55, 47D06, 92D40
- DOI: https://doi.org/10.1090/S0002-9939-1991-1043414-6
- MathSciNet review: 1043414