This is a preview of subscription content, log in via an institution to check access.
References
Morse, M., Leighton, W.: Singular quadratic functionals. Trans. Amer. Math. Soc.40, 252–286 (1936).
Morse, M.: Variational analysis: Critical extremals and Sturmian extensions. New York: Wiley-Interscience 1973.
Hardy, G. M., Littlewood, J. E., Pólya, G.: Inequalities. Cambridge University Press, 1934.
Leighton, W.: Principal quadratic functionals. Trans. Amer. Math. Soc.67, 252–274 (1949).
Leighton, W., Martin, A. D.: Quadratic functionals with a singular end point. Trans. Amer. Math. Soc.78, 98–128 (1955).
Kemble, E. C.: Note on the Sturm-Liouville eigenvalue-eigenfunction problem with singular end-points. Proc. Nat. Acad. Scs.19, 710–714 (1933).
Bolza, O.: Vorlesungen über Variationsrechnung. Leipzig und Berlin: B. G. Teubner 1909.
Bliss, G. A.: Lectures on the calculus of variations. Open Court Publishing Co., University of Chicago Press 1946.
Hestenes, M.: Calculus of variations and optimal control theory. New York: John Wiley & Sons 1966.
Gelfand, I. M., Fomin, S. V.: Calculus of variations. Englewood Cliffs, N.J.: Prentice-Hall 1963.
Tonelli, L.: Fondamenti de calcolo delle variazioni, I and II. Nicola Zanichelli, Bologna (1921) and (1923).
Author information
Authors and Affiliations
Additional information
Supported in part by Army Research Office — Durham grant DA-ARO-D-31-124-71-G 100.
Rights and permissions
About this article
Cite this article
Morse, M. Singular quadratic functionals. Math. Ann. 201, 315–340 (1973). https://doi.org/10.1007/BF01428198
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01428198