Positive solutions to a singular fourth-order two-point boundary value problem

• Autorzy: Qingliu Yao
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34B18: Positive solutions of nonlinear boundary value problems
• 34B15: Nonlinear boundary value problems
• 34B16: Singular nonlinear boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 100
• Numer: 1
• Strony: 1-12

Daty

wydano

2011

Twórcy

autor

Qingliu Yao

• Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China

Identyfikatory

DOI

10.4064/ap100-1-1