NONLINEAR ORDINARY AND FUNCTIONAL STURM-LIOUVILLE PROBLEMS.

H. J. Kuiper, W. R. Derrick

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)179-190
Number of pages12
JournalIndiana University Mathematics Journal
Volume25
Issue number2
DOIs
StatePublished - Jan 1 1976

ASJC Scopus subject areas

  • Mathematics(all)

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