Geodesic
Positive solutions to a singular fourth-order two-point boundary value problem
Qingliu Yao1
1 Department of Applied Mathematics Nanjing University of Finance and Economics Nanjing 210003, China
Annales Polonici Mathematici, Tome 100 (2011) no. 1, pp. 1-12

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

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.
DOI : 10.4064/ap100-1-1
Keywords: paper studies existence multiple positive solutions nonlinear fourth order two point boundary value problem where nonlinear term may singular respect time space variables order estimate growth nonlinear term introduce control functions applying hammerstein integral equation guo krasnoselskii fixed point theorem cone expansion compression type several local existence theorems proved

Qingliu Yao 1

1 Department of Applied Mathematics Nanjing University of Finance and Economics Nanjing 210003, China 
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Qingliu Yao. Positive solutions to a singular fourth-order
 two-point boundary value problem. Annales Polonici Mathematici, Tome 100 (2011) no. 1, pp. 1-12. doi: 10.4064/ap100-1-1

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