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 |
State | Published - Feb 1976 |
Externally published | Yes |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
NONLINEAR ORDINARY AND FUNCTIONAL STURM-LIOUVILLE PROBLEMS. / Kuiper, H. J.; Derrick, W. R.
In: Indiana University Mathematics Journal, Vol. 25, No. 2, 02.1976, p. 179-190.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - NONLINEAR ORDINARY AND FUNCTIONAL STURM-LIOUVILLE PROBLEMS.
AU - Kuiper, H. J.
AU - Derrick, W. R.
PY - 1976/2
Y1 - 1976/2
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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UR - http://www.scopus.com/inward/citedby.url?scp=0016919326&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0016919326
VL - 25
SP - 179
EP - 190
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
SN - 0022-2518
IS - 2
ER -