A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity

• Autorzy: Qingliu Yao
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 3
• Strony: 311-325

Daty

wydano

2013

Twórcy

autor

Qingliu Yao

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

Identyfikatory

DOI

10.4064/ap109-3-6