Existence of positive solutions for a nonlinear fourth order boundary value problem
Annales Polonici Mathematici (2003)
- Volume: 81, Issue: 1, page 79-84
- ISSN: 0066-2216
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topRuyun Ma. "Existence of positive solutions for a nonlinear fourth order boundary value problem." Annales Polonici Mathematici 81.1 (2003): 79-84. <http://eudml.org/doc/286260>.
@article{RuyunMa2003,
abstract = {We study the existence of positive solutions of the nonlinear fourth order problem
$u^\{(4)\}(x) = λa(x)f(u(x))$,
u(0) = u’(0) = u”(1) = u”’(1) = 0,
where a: [0,1] → ℝ may change sign, f(0) < 0, and λ < 0 is sufficiently small. Our approach is based on the Leray-Schauder fixed point theorem.},
author = {Ruyun Ma},
journal = {Annales Polonici Mathematici},
keywords = {three-point boundary value problem; positive solution; Leray-Schauder fixed-point theorem},
language = {eng},
number = {1},
pages = {79-84},
title = {Existence of positive solutions for a nonlinear fourth order boundary value problem},
url = {http://eudml.org/doc/286260},
volume = {81},
year = {2003},
}
TY - JOUR
AU - Ruyun Ma
TI - Existence of positive solutions for a nonlinear fourth order boundary value problem
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 1
SP - 79
EP - 84
AB - We study the existence of positive solutions of the nonlinear fourth order problem
$u^{(4)}(x) = λa(x)f(u(x))$,
u(0) = u’(0) = u”(1) = u”’(1) = 0,
where a: [0,1] → ℝ may change sign, f(0) < 0, and λ < 0 is sufficiently small. Our approach is based on the Leray-Schauder fixed point theorem.
LA - eng
KW - three-point boundary value problem; positive solution; Leray-Schauder fixed-point theorem
UR - http://eudml.org/doc/286260
ER -
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