Positive solutions and eigenvalue intervals of a singular third-order boundary value problem

• Autorzy: Qingliu Yao
• Języki publikacji: EN

Abstrakty

EN

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.

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: 102
• Numer: 1
• Strony: 25-37

Daty

wydano

2011

Twórcy

autor

Qingliu Yao

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

Identyfikatory

DOI

10.4064/ap102-1-3