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Some Positone Problems Suggested by Nonlinear Heat Generation

Keller, Herbert B. and Cohen, Donald S. (1967) Some Positone Problems Suggested by Nonlinear Heat Generation. Journal of Mathematics and Mechanics, 16 (12). pp. 1361-1376. ISSN 0095-9057. https://resolver.caltech.edu/CaltechAUTHORS:20200114-085055623

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Abstract

There is much current interest in boundary value problems containing positive linear differential operators and monotone functions of the dependent variable, see for example, M.A. Krasnosel'ski [1] and H. H. Schaefer [2]. We call such problems "positone" and shall examine here a particular class of them (which have been called non-linear eigenvalue problems in [2]).


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1512/iumj.1967.16.16087DOIArticle
Additional Information:© 1967 Indiana University Mathematics Department. Date Communicated: October 14, 1966. Communicated by Jürgen Moser. Research supported by the National Science Foundation under grant No. GP-4597 at the California Institute of Technology during the academic year 1965-66. Partly supported by the U. S. Army contract DA-31-124-ARO-D-360 with New York University. Research supported by the National Science Foundation under grant No. GP-4597 at the California Institute of Technology.
Funders:
Funding AgencyGrant Number
NSFGP-4597
Army Research Office (ARO)DA-31-124-ARO-D-360
Issue or Number:12
Record Number:CaltechAUTHORS:20200114-085055623
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200114-085055623
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100708
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:14 Jan 2020 17:05
Last Modified:14 Jan 2020 17:05

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