Singularly Perturbed Boundary Value Problems in Case of Exchange of Stabilities

Journal of Mathematical Analysis and Applications

Volumn 229, Issue 2, 1999, Pages 543-562

  Butuzov, V F ^a   Nefedov, N N ^a   Schneider, K R ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

Boundary value problem; Exchange of stability; Singularly perturbed system

Indexed keywords

EID: 0000139816     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6180     Document Type: Article

References (7)

1. A. B. Vasil'eva and V. F. Butuzov, "Asymptotic Methods in the Theory of Singular Perturbation" (in Russian), Vyshaja Shkola, Moscow, 1990.
2. R. E. O'Malley, Jr., "Singular Perturbation Methods for Ordinary Differential Equations," Springer-Verlag, New York, 1991.
3. D. R. Smith, "Singular Perturbation Theory," Cambridge Univ. Press, Cambridge, 1985.
4. N. N. Nefedov, K. R. Schneider, and A. Schuppert, Jumping behavior in singularly perturbed systems modelling bimolecular reactions, preprint no. 137, Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin, 1994.
5. V. F. Butuzov and N. N. Nefedov, Singularly perturbed boundary value problems for second order equations in case of exchange of stability (in Russian), Mat. Zam., to appear.
6. C. V. Pao, "Nonlinear Parabolic and Elliptic Equations," Plenum, New York/London, 1992.
7. V. F. Butuzov and A. V. Nesterov, On some singularly perturbed problem with non-smooth boundary functions (in Russian), Dokl. Akad. Nauk SSR 263 (1982), 786-789.