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

top
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

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.