Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K. W. Chang. "Remarks on a certain hypothesis in singular pertubations", Proc. Amer. Math. Soc. 23(1969), 41–45.
K. W. Chang. "Singular perturbations of a general boundary value problem", (to appear).
G. G. Chapin, Jr. One and two point boundary value problems for ordinary differential equations containing a parameter, Ph.D. Thesis, University of Minnesota, Minneapolis, 1959.
W. A. Harris, Jr. "Singular perturbations of two-point boundary problems for systems of ordinary differential equations," Arch. Rat. Mech. Anal. 5 (1960), 212–225.
W. A. Harris, Jr. "Singular perturbations of two point boundary problems," J. Math. Mech. 11 (1962), 371–382.
W. A. Harris, Jr. "Equivalent classes of singular perturbation problems," Rend. Circ. Matem. di Palermo, 14 (1965), 1–15.
R. E. O'Malley, Jr. "Boundary value problems for linear systems of ordinary differential equations involving many small parameters," J. Math. Mech. 18 (1969), 835–855.
R. E. O'Malley, Jr. and J. B. Keller. "Loss of boundary conditions in the asymptotic solution of linear differential equations. II. Boundary value problems," Comm. Pure Appl. Math. 21 (1968), 263–270.
Y. Sibuya. "Sur réduction analytique d'an systeme d'equations différentielles ordinaires linéaires contenant un paramètre", J. Fac. Sci, Univ. Tokyo, Sec 1. 7 (1968), 527–540.
W. Wasow. "On the asymptotic solution of boundary value problems for ordinary differential equations containing a parameter," J. Math. Phys. 23 (1944), 173–183.
Editor information
Rights and permissions
Copyright information
© 1973 Springer-Verlag
About this paper
Cite this paper
Harris, W.A. (1973). Singularly perturbed boundary value problems revisited. In: Harris, W.A., Sibuya, Y. (eds) Symposium on Ordinary Differential Equations. Lecture Notes in Mathematics, vol 312. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060045
Download citation
DOI: https://doi.org/10.1007/BFb0060045
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06146-5
Online ISBN: 978-3-540-38353-6
eBook Packages: Springer Book Archive