References
Bancroft, S., J. K. Hale, & D. Sweet, Alternative problems for nonlinear functional equations. J. Differential Equations 4, 40–56 (1968).
Cesari, L., Functional analysis and Galerkin's method. Michigan Math. Journ. 11, 385–414 (1964).
Cesari, L., Functional analysis and differential equations. Symposium on the qualitative theory of nonlinear differential equations, Madison, Wisconsin, August 1968. Advances in Differential Equations, SIAM (to appear).
Harris, W. A., jr., Holomorphic solutions of nonlinear differential equations at singular points. Symposium on the qualitative theory of nonlinear differential equations, Madison, Wisconsin, August 1968. Advances in Differential Equations, SIAM (to appear).
Hartman, P., Ordinary Differential Equations. New York: John Wiley & Sons 1964.
Hilb, E., Über diejenigen Integrale linearer Differentialgleichungen, welche sich an einer Unbestimmtheitsstelle bestimmt verhalten. Math. Ann. 82, 40–41 (1921).
Iwano, M., Sur les points singuliers d'une équation différentielle ordinaire linéaire du n-ième ordre. J. Fac. Sci. Univ. Tokyo Sect. I, 7, 343–351 (1956).
Lettenmeyer, F., Über die an einer Unbestimmtheitsstelle regulären Lösungen eines Systems homogener linearen Differentialgleichungen. S.-B. Bayer. Akad. Wiss. München Math.nat. Abt. 287–307 (1926).
Perron, O., Über diejenigen Integrale linearer Differentialgleichungen, welche sich an einer Unbestimmtheitsstelle bestimmt verhalten. Math. Ann. 70, 1–32 (1911).
Author information
Authors and Affiliations
Additional information
Communicated by L. Cesari
This research was supported in part by the National Science Foundation under Grant GP-7041X and the Office of Naval Research under Contract NONR 233(76).
Rights and permissions
About this article
Cite this article
Harris, W.A., Sibuya, Y. & Weinberg, L. Holomorphic solutions of linear differential systems at singular points. Arch. Rational Mech. Anal. 35, 245–248 (1969). https://doi.org/10.1007/BF00248158
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00248158