Geodesic
A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
Qingliu Yao1
1 Department of Applied Mathematics Nanjing University of Finance and Economics Nanjing 210003, P.R. China
Annales Polonici Mathematici, Tome 109 (2013) no. 3, pp. 311-325.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap109-3-6
Keywords: study existence positive solutions class singular nonlinear fourth order boundary value problems which nonlinearity may lack homogeneity introducing suitable control functions applying cone expansion cone compression prove three existence theorems main results improve existence result nbsp nbsp wei appl math comput where nonlinearity has certain homogeneity

Qingliu Yao 1

1 Department of Applied Mathematics Nanjing University of Finance and Economics Nanjing 210003, P.R. China 
@article{10_4064_ap109_3_6,
     author = {Qingliu Yao},
     title = {A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity},
     journal = {Annales Polonici Mathematici},
     pages = {311--325},
     publisher = {mathdoc},
     volume = {109},
     number = {3},
     year = {2013},
     doi = {10.4064/ap109-3-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap109-3-6/}
}
TY  - JOUR
AU  - Qingliu Yao
TI  - A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
JO  - Annales Polonici Mathematici
PY  - 2013
SP  - 311
EP  - 325
VL  - 109
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap109-3-6/
DO  - 10.4064/ap109-3-6
LA  - en
ID  - 10_4064_ap109_3_6
ER  - 
%0 Journal Article
%A Qingliu Yao
%T A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
%J Annales Polonici Mathematici
%D 2013
%P 311-325
%V 109
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap109-3-6/
%R 10.4064/ap109-3-6
%G en
%F 10_4064_ap109_3_6
Qingliu Yao. A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity. Annales Polonici Mathematici, Tome 109 (2013) no. 3, pp. 311-325. doi : 10.4064/ap109-3-6. http://geodesic.mathdoc.fr/articles/10.4064/ap109-3-6/

Cité par Sources :