A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity

Qingliu Yao

Annales Polonici Mathematici (2013)

  • Volume: 109, Issue: 3, page 311-325
  • ISSN: 0066-2216

Abstract

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We study the existence of positive solutions to a class of singular nonlinear fourth-order boundary value problems in which the nonlinearity may lack homogeneity. By introducing suitable control functions and applying cone expansion and cone compression, we prove three existence theorems. Our main results improve the existence result in [Z. L. Wei, Appl. Math. Comput. 153 (2004), 865-884] where the nonlinearity has a certain homogeneity.

How to cite

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Qingliu Yao. "A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity." Annales Polonici Mathematici 109.3 (2013): 311-325. <http://eudml.org/doc/286339>.

@article{QingliuYao2013,
abstract = {We study the existence of positive solutions to a class of singular nonlinear fourth-order boundary value problems in which the nonlinearity may lack homogeneity. By introducing suitable control functions and applying cone expansion and cone compression, we prove three existence theorems. Our main results improve the existence result in [Z. L. Wei, Appl. Math. Comput. 153 (2004), 865-884] where the nonlinearity has a certain homogeneity.},
author = {Qingliu Yao},
journal = {Annales Polonici Mathematici},
keywords = {singular differential equation; boundary value problem; positive solution; existence},
language = {eng},
number = {3},
pages = {311-325},
title = {A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity},
url = {http://eudml.org/doc/286339},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Qingliu Yao
TI - A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 3
SP - 311
EP - 325
AB - We study the existence of positive solutions to a class of singular nonlinear fourth-order boundary value problems in which the nonlinearity may lack homogeneity. By introducing suitable control functions and applying cone expansion and cone compression, we prove three existence theorems. Our main results improve the existence result in [Z. L. Wei, Appl. Math. Comput. 153 (2004), 865-884] where the nonlinearity has a certain homogeneity.
LA - eng
KW - singular differential equation; boundary value problem; positive solution; existence
UR - http://eudml.org/doc/286339
ER -

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