NONLINEAR ORDINARY AND FUNCTIONAL STURM-LIOUVILLE PROBLEMS.

H. J. Kuiper; W. R. Derrick

doi:10.1512/iumj.1976.25.25014

NONLINEAR ORDINARY AND FUNCTIONAL STURM-LIOUVILLE PROBLEMS.

H. J. Kuiper, W. R. Derrick

Arizona State University

Research output: Contribution to journal › Article

2 Scopus citations

Abstract

The equation L// lambda u equals lambda F( lambda , u), u(0) equals u(1) equals 0, is studied, where L// lambda is a Sturm-Liouville operator depending on the parameter lambda , and F is some nonlinear operator. Results are obtained covering the existence of continua of positive solutions ( lambda , u). By imposing various growth conditions on F, results are obtained about the behavior of these continua for large and small values of lambda and the norm of u.

Original language	English (US)
Pages (from-to)	179-190
Number of pages	12
Journal	Indiana University Mathematics Journal
Volume	25
Issue number	2
DOIs	https://doi.org/10.1512/iumj.1976.25.25014
State	Published - Jan 1 1976

ASJC Scopus subject areas

Mathematics(all)

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Kuiper, H. J., & Derrick, W. R. (1976). NONLINEAR ORDINARY AND FUNCTIONAL STURM-LIOUVILLE PROBLEMS. Indiana University Mathematics Journal, 25(2), 179-190. https://doi.org/10.1512/iumj.1976.25.25014

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