Positive solutions to a singular fourth-order two-point boundary value problem

Qingliu Yao. "Positive solutions to a singular fourth-order two-point boundary value problem." Annales Polonici Mathematici 100.1 (2011): 1-12. <http://eudml.org/doc/280879>.

@article{QingliuYao2011,
abstract = {This paper studies the existence of multiple positive solutions to a nonlinear fourth-order two-point boundary value problem, where the nonlinear term may be singular with respect to both time and space variables. In order to estimate the growth of the nonlinear term, we introduce new control functions. By applying the Hammerstein integral equation and the Guo-Krasnosel'skii fixed point theorem of cone expansion-compression type, several local existence theorems are proved.},
author = {Qingliu Yao},
journal = {Annales Polonici Mathematici},
keywords = {singular ordinary differential equation; boundary value problem; positive solution; existence; multiplicity},
language = {eng},
number = {1},
pages = {1-12},
title = {Positive solutions to a singular fourth-order two-point boundary value problem},
url = {http://eudml.org/doc/280879},
volume = {100},
year = {2011},
}

TY - JOUR
AU - Qingliu Yao
TI - Positive solutions to a singular fourth-order two-point boundary value problem
JO - Annales Polonici Mathematici
PY - 2011
VL - 100
IS - 1
SP - 1
EP - 12
AB - This paper studies the existence of multiple positive solutions to a nonlinear fourth-order two-point boundary value problem, where the nonlinear term may be singular with respect to both time and space variables. In order to estimate the growth of the nonlinear term, we introduce new control functions. By applying the Hammerstein integral equation and the Guo-Krasnosel'skii fixed point theorem of cone expansion-compression type, several local existence theorems are proved.
LA - eng
KW - singular ordinary differential equation; boundary value problem; positive solution; existence; multiplicity
UR - http://eudml.org/doc/280879
ER -