×
de Groen, Pieter P. N.

Spectral properties of second-order singularly perturbed boundary value problems with turning points. (English) Zbl 0345.34045

J. Math. Anal. Appl. 57, 119-149 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0345.34045

Cited in 2 Documents

MSC:

34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
34L99 Ordinary differential operators
47A55 Perturbation theory of linear operators
Cite Review PDF
Full Text: DOI

References:

[1] Ackerberg, R. C.; O’Malley, R. E., Boundary layer problems exhibiting resonance, Stud. Appl. Math., 49, 277-295 (1970) · Zbl 0198.12901
[2] Watts, A. M., A singular perturbation problem with a turning point, Bull. Austral. Math. Soc., 5, 61-73 (1971) · Zbl 0223.34051
[3] Cook, L. Pamela; Eckhaus, W., Resonance in a boundary value problem of singular perturbation type, Stud. Appl. Math., 52, 129-139 (1973) · Zbl 0264.34070
[4] de Groen, P. P.N., Elliptic singular perturbations of first order operators with critical points, (Proc. Roy. Soc. Edinburgh Sect. A, 74 A (1974/1975)), 91-113 · Zbl 0334.35006
[5] de Groen, P. P.N., Critical points of the degenerate operator in elliptic singular perturbation problems, (Report Z.W. 28 (1975), Mathematisch Centrum: Mathematisch Centrum Amsterdam) · Zbl 0686.65076
[6] Kato, T., Perturbation Theory for Linear Operators (1966), Springer-Verlag: Springer-Verlag Berlin/New York · Zbl 0148.12601
[7] Yosida, K., Functional Analysis (1965), Springer-Verlag: Springer-Verlag Berlin/New York · Zbl 0126.11504
[8] Magnus, W.; Oberhettinger, F.; Soni, R. P., Formulas and Theorems for the Special Functions of Mathematical Physics (1966), Springer-Verlag: Springer-Verlag Berlin/New York · Zbl 0143.08502
[9] Schwartz, L., Théorie des Distributions (1966), Hermann: Hermann Paris · Zbl 0149.09501
[10] Szeptycki, P., Existence theorem for the first boundary problem for a quasilinear elliptic system, Bull. Acad. Polon. Sci., 7, 419-424 (1959) · Zbl 0090.07903
[11] de Groen, P. P.N., Singularly Perturbed Differential Operators of Second Order, (Mathematical Centre Tract 68 (1976), Mathematisch Centrum: Mathematisch Centrum Amsterdam) · Zbl 0387.34042
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.