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Published December 1967 | Published
Journal Article Open

Some Positone Problems Suggested by Nonlinear Heat Generation

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]).

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.

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August 19, 2023
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October 18, 2023