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MR Zblde Jager, E. M. Introduction to the theory of singular perturbations, dans IIIe rencontre de géométrie du Schnepfenried Volume 2 - 10-15 mai 1982, Astérisque, no. 109-110 (1983), pp. 67-100. http://geodesic.mathdoc.fr/item/AST_1983__109-110__67_0/
@incollection{AST_1983__109-110__67_0,
author = {de Jager, E. M.},
title = {Introduction to the theory of singular perturbations},
booktitle = {IIIe rencontre de g\'eom\'etrie du Schnepfenried Volume 2 - 10-15 mai 1982},
series = {Ast\'erisque},
pages = {67--100},
year = {1983},
publisher = {Soci\'et\'e math\'ematique de France},
number = {109-110},
mrnumber = {753144},
zbl = {0531.34044},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AST_1983__109-110__67_0/}
}
TY - CHAP AU - de Jager, E. M. TI - Introduction to the theory of singular perturbations BT - IIIe rencontre de géométrie du Schnepfenried Volume 2 - 10-15 mai 1982 AU - Collectif T3 - Astérisque PY - 1983 SP - 67 EP - 100 IS - 109-110 PB - Société mathématique de France UR - http://geodesic.mathdoc.fr/item/AST_1983__109-110__67_0/ LA - en ID - AST_1983__109-110__67_0 ER -
%0 Book Section %A de Jager, E. M. %T Introduction to the theory of singular perturbations %B IIIe rencontre de géométrie du Schnepfenried Volume 2 - 10-15 mai 1982 %A Collectif %S Astérisque %D 1983 %P 67-100 %N 109-110 %I Société mathématique de France %U http://geodesic.mathdoc.fr/item/AST_1983__109-110__67_0/ %G en %F AST_1983__109-110__67_0
1. and , Boundary layer problems exhibiting resonance, Stud. Appl. Math. 49, pp. 277-295, 1970. | MR | Zbl | DOI
2. , Singular perturbation problems for partial differential equations, Thesis Technical University Delft, the Netherlands, 1973.
3. , , and , Chasse au Canard, Series de math. pures et appliquées, IRMA, Strasbourg, 1977. | Zbl
4. and , Resonance in a boundary value problem of singular perturbation type, Stud. Appl. Math. 52, pp. 129-139, 1973. | MR | Zbl | DOI
5. , Asymptotic solution of the van der Pol equation, A.M.S. Transl. series 1, 4, pp. 1-23, 1962.
6. , Asymptotic analysis of singular perturbations. Studies in Mathematics and its Applications, North Holland, 1979. | MR | Zbl
7. and Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type. Arch. Rat. Mech. Anal. 23, pp. 26-86, 1966. | MR | Zbl | DOI
8. , Semi-linear elliptic boundary value problems with small parameter. Arch. Rat. Mech. Anal. 52, pp. 205-232, 1973. | MR | Zbl | DOI
9. , Singular perturbations of hyperbolic type, Mathematical Centre Tract, Math. Centre, 98, Amsterdam, 1979. | MR | Zbl
10. and , Hyperbolic singular perturbations of non-linear first order differential equations ; Differential Equations and Applications, Proceedings 3rd Scheveningen Conf. on Diff. Eqs. W. Eckhaus and E.M. de Jager editors, North Holland Publ. Cy, 1978. | MR | Zbl
11. and , Perturbations singulières pour une classe de problèmes hyperboliques non linéaires ; Proceedings of the Conference on Singular Perturbations and Boundary Layer Theory, Lyon 1976, Lecture Notes in Math., vol. 594, Springer, 1977. | Zbl | MR | DOI
12. , On the birth of boundary layers, Mathematical Centre Tract, vol. 36, Math. Centre, Amsterdam, 1971. | MR | Zbl
13. and A variational approach to singularly perturbed, boundary value problems for ordinary and partial differential equations with turning points, SIAM J. Appl. Math., 32, no. 3, 1977. | Zbl | MR | DOI
14. , Spectral properties of second order singularly perturbed boundary value problems with turning points, J. Math. Anal. Appl. 57, pp. 119-149, 1977. | MR | Zbl | DOI
15. , Étude asymptotique des oscillations de relaxation, Ann. Sci. Ecole Norm. Sup., 60, 1943. | MR | Zbl | EuDML | Numdam
16. , Exemples concrets d'étude asymptotiques d'oscillations de relaxation, Ann. Sci. Ecole Norm. Sup., 61, 1944. | MR | Zbl | EuDML | Numdam
17. , Singular perturbations of two point boundary problems for systems of ordinary differential equations, Arch. Rat. Mech. An. 5, pp. 212-225, 1960. | MR | Zbl | DOI
18. , Singular perturbations of two point boundary problems. J. Math.Mech. 11, pp. 371-382, 1962. | MR | Zbl
19. , Singularly perturbed non-linear 2nd order elliptic boundary value problems, Thesis, University of Utrecht, 1975.
20. , Phénomènes de perturbation singulière dans les problèmes aux limites, Ann. Inst. Fourier, Grenoble, 10, 1960. | DOI | MR | Zbl | EuDML | Numdam
21. , Singular perturbations of hyperbolic type, Nieuw Archief voor Wiskunde, 23 (3), pp. 145-172, 1975. | MR | Zbl
22. and Singular perturbations of hyperbolic type, Analytical and Numerical Approaches to Asymptotic Problems in Analysis, editors O. Axelson, L.S. Frank, A.v.d. Sluis, North Holl. Publ. Cy, Amsterdam 1981. | MR | Zbl
23. , Singuläre Störungen von nicht linearen Operatoren, ZAMM, 60, 1980. | MR | Zbl
24. and The Korteweg-de Vries equation as a singular perturbation problem, University of Amsterdam, Dept. of Mathematics, Rep. 82-07, 1982.
25. and The zero dispersion limit for the Korteweg-de Vries equation, Proc. Natl. Ac. Sc. U.S.A., 76, no. 8, Mathematics, pp. 3602-3606, August 1979. | Zbl | MR | DOI
26. , Perturbations singulières dans les problèmes aux limites et en controle optimal, Lecture Notes in Mathematics, 323, Springer 1973. | Zbl | MR
27. and , Non-standard analysis, a practical guide with applications, Lecture Notes in Mathematics, 881, Springer, 1981. | MR | Zbl
28. and , Sur le comportement asymptotique des solutions dans un problème aux limites non linéaire, CRAS, 292, Série I, pp. 925-928, 1981. | MR | Zbl
29. , Perturbations singulières de type hyperbolique-hyperbolique non linéaire, Publ. Math., Université de Pau, 1977.
30. , Thèse Université de Pau, 1981.
31. , Perturbation methods, Wiley, 1973. | MR
32. , Construction of a generalized solution of the Cauchy problem for a quasi linear equation of first order by the introduction of vanishing viscosity, A.M.S. Transl. Series 2, 33, 1963. | Zbl
33. Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters, J. Math. Anal. Appl., 19, pp. 291-308, 1967. | MR | Zbl | DOI
34. , Boundary value problems for linear systems of ordinary differential equations involving many small parameters, J. Math. Mech, 18, pp. 835-853, 1969. | MR | Zbl
35. and Maximum principles in differential equations, Prentice Hall, 1967. | MR | Zbl
36. , Non-standard analysis, Studies in Logic, North Holland Publ. Cy, Amsterdam, 1966. | MR | Zbl
37. and Equations différentielles ordinaires, t. 1, Masson et Cie, 1973. | MR | Zbl
38. , Sur le comportement asyomptotique des solutions dans un problème aux limites semi-linéaire, CRAS, 292, Série I, pp. 867-870, 1981. | MR | Zbl
39. , Etude qualitative de systèmes differentiels: une approche basée sur l'analyse non standard, Thèse Université Louis Pasteur Strasbourg, IRMA 1981.
40. and Analyse non standard et equations de van der Pol ; Perturbations singulières et analyse non standard, Series de Mathematiques Pures et Appliquées, IRMA, Strasbourg 1976-1977. | MR
41. , Oscillation de relaxation et analyse non standard, Thèse Université Louis Pasteur, Strasbourg, IRMA 1981.
42. and Regular degeneration and boundary layer for linear, differential equations with a small parameter, AMS Transl., Series 2, 20, pp. 239-364, 1962. | MR | Zbl
43. , The capriciousness of singular perturbations, Nieuw Archief voor Wiskunde, 18(3), pp. 190-210, 1970. | MR | Zbl
44. , On the asymptotic solution of boundary value problems for ordinary differential equations containing a parameter, J. Math Phys., 32, pp. 173-183, 1944. | MR | Zbl | DOI
45. and Theory and Applications of singular perturbations Proceedings Oberwolfach 1981, Lecture Notes in Mathematics, 942, Springer, 1982. | Zbl | MR
46. , and Perturbations singulières et prolongements maximaux d'opérateurs positifs, Arch. Rationel Mech. Anal. 53, pp. 69-100, 1973. | MR | Zbl | DOI
47. , , Asymptotic Analysis for periodic structures, North Holland Publ. Cy, Amsterdam, 1978. | MR | Zbl
48. First order quasilinear equations in several space variables, Math. USSR Sbornik, vol. 10, n° 2, pp. 217-243, 1978. | Zbl | DOI
