Multiplicity of positive solutions for a nonlinear fourth order equation

D. R. Dunninger. "Multiplicity of positive solutions for a nonlinear fourth order equation." Annales Polonici Mathematici 77.2 (2001): 161-168. <http://eudml.org/doc/280363>.

@article{D2001,
abstract = {We study the existence and multiplicity of positive solutions of the nonlinear fourth order problem ⎧$u^\{(4)\} = λf(u)$ in (0,1), ⎨ ⎩u(0) = a ≥ 0, u’(0) = a’ ≥ 0, u(1) = b ≥ 0, u(1) = -b’ ≤ 0 The methods employed are upper and lower solutions and degree theory arguments.},
author = {D. R. Dunninger},
journal = {Annales Polonici Mathematici},
keywords = {nonlinear fourth-order boundary value problems; multiplicity of positive solutions; upper and lower solutions; degree theory},
language = {eng},
number = {2},
pages = {161-168},
title = {Multiplicity of positive solutions for a nonlinear fourth order equation},
url = {http://eudml.org/doc/280363},
volume = {77},
year = {2001},
}

TY - JOUR
AU - D. R. Dunninger
TI - Multiplicity of positive solutions for a nonlinear fourth order equation
JO - Annales Polonici Mathematici
PY - 2001
VL - 77
IS - 2
SP - 161
EP - 168
AB - We study the existence and multiplicity of positive solutions of the nonlinear fourth order problem ⎧$u^{(4)} = λf(u)$ in (0,1), ⎨ ⎩u(0) = a ≥ 0, u’(0) = a’ ≥ 0, u(1) = b ≥ 0, u(1) = -b’ ≤ 0 The methods employed are upper and lower solutions and degree theory arguments.
LA - eng
KW - nonlinear fourth-order boundary value problems; multiplicity of positive solutions; upper and lower solutions; degree theory
UR - http://eudml.org/doc/280363
ER -