Geodesic
Positive solutions and eigenvalue intervals of a singular third-order boundary value problem
Qingliu Yao1
1 Department of Applied Mathematics Nanjing University of Finance and Economics Nanjing 210003, P.R. China
Annales Polonici Mathematici, Tome 102 (2011) no. 1, pp. 25-37 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

This paper studies positive solutions and eigenvalue intervals of a nonlinear third-order two-point boundary value problem. The nonlinear term is allowed to be singular with respect to both the time and space variables. By constructing a proper cone and applying the Guo–Krasnosel'skii fixed point theorem, the eigenvalue intervals for which there exist one, two, three or infinitely many positive solutions are obtained.
DOI : 10.4064/ap102-1-3
Keywords: paper studies positive solutions eigenvalue intervals nonlinear third order two point boundary value problem nonlinear term allowed singular respect time space variables constructing proper cone applying guo krasnoselskii fixed point theorem eigenvalue intervals which there exist three infinitely many positive solutions obtained

Qingliu Yao 1

1 Department of Applied Mathematics Nanjing University of Finance and Economics Nanjing 210003, P.R. China 
@article{10_4064_ap102_1_3,
     author = {Qingliu Yao},
     title = {Positive solutions and eigenvalue intervals of a singular
 third-order boundary value problem},
     journal = {Annales Polonici Mathematici},
     pages = {25--37},
     year = {2011},
     volume = {102},
     number = {1},
     doi = {10.4064/ap102-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap102-1-3/}
}
TY  - JOUR
AU  - Qingliu Yao
TI  - Positive solutions and eigenvalue intervals of a singular
 third-order boundary value problem
JO  - Annales Polonici Mathematici
PY  - 2011
SP  - 25
EP  - 37
VL  - 102
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap102-1-3/
DO  - 10.4064/ap102-1-3
LA  - en
ID  - 10_4064_ap102_1_3
ER  - 
%0 Journal Article
%A Qingliu Yao
%T Positive solutions and eigenvalue intervals of a singular
 third-order boundary value problem
%J Annales Polonici Mathematici
%D 2011
%P 25-37
%V 102
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap102-1-3/
%R 10.4064/ap102-1-3
%G en
%F 10_4064_ap102_1_3
Qingliu Yao. Positive solutions and eigenvalue intervals of a singular
 third-order boundary value problem. Annales Polonici Mathematici, Tome 102 (2011) no. 1, pp. 25-37. doi: 10.4064/ap102-1-3

Cité par Sources :