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Functional differential equations and inequalities

Bateman, H. (1936) Functional differential equations and inequalities. Proceedings of the National Academy of Sciences of the United States of America, 22 (3). pp. 170-172. ISSN 0027-8424. http://resolver.caltech.edu/CaltechAUTHORS:BATpnas36a

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Abstract

Let us first try to find the minimum value of the integral ∫02π[f’(x)+mf(x + π)+e(x)]^2dx where f(x) is a uniform function of period 2π which is integrable and such that ∫02π[f(x)]^2dx=1.


Item Type:Article
Additional Information:© 1936 by the National Academy of Sciences. Communicated January 27, 1936.
Record Number:CaltechAUTHORS:BATpnas36a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BATpnas36a
Alternative URL:http://www.pnas.org/cgi/reprint/22/3/170
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9390
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 Dec 2007
Last Modified:14 Nov 2014 19:20

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