TY - JOUR
T1 - NONLINEAR ORDINARY AND FUNCTIONAL STURM-LIOUVILLE PROBLEMS.
AU - Kuiper, H. J.
AU - Derrick, W. R.
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 1976
Y1 - 1976
N2 - 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.
AB - 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.
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U2 - 10.1512/iumj.1976.25.25014
DO - 10.1512/iumj.1976.25.25014
M3 - Article
AN - SCOPUS:0016919326
SN - 0022-2518
VL - 25
SP - 179
EP - 190
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 2
ER -