Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities

Electronic Journal of Differential Equations

Volumn 2004, Issue , 2004, Pages 1-8

  Tian, Yu ^a   Ge, Weigao ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Double cones; Fixed point theorem; Fourth order two point boundary value problem; Positive solution

Indexed keywords

EID: 11244337030     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. A. R. Aftabizadeh; Existence and uniqueness theorems for fourth-order boundary problems, J. Math. Anal. Appl. 116(1986), 415-426.
2. Yisong Yang; Fourth-order two-point boundary value problem, Proc. Amer. Math. Soc. 104(1988), 175-180.
3. M. A. Del Pino, R. F. Manasevich; Existence for fourth-order boundary value problem under a two-parameter nonresonance condition, Proc. Amer. Math. Soc.112(1991), 81-86.
4. C. P. Gupta; Existence and uniqueness theorem for a bending of an elastic beam equation, Appl. Anal. 26(1988), 289-304.
5. C. P. Gupta; Existence and uniqueness results for some fourth order fully qualilinear boundary value problem, Appl. Anal. 36(1990), 169-175.
6. Ruyun Ma, Haiyan Wang; On the existence of positive solutions of fourth order ordinary differential equations, Appl. Anal. 59(1995), 225-231.
7. Ruyun Ma; Positive solutions of fourth order two point boundary value problems, Ann. Differen. Equations 15(1999), 305-313.
8. Ruyun Ma; Existence of positive solutions for a nonlinear fourth-order boundary value problem, Ann. Polonici Mathematici 81.1(2003).
9. B. Liu; Positive solutions of fourth-order two point boundary value problems, Appl. Math. Comput. 148(2004), 407-420.
10. Guo Yanping, Ge Weigao, Gao Ying; Twin positive solutions for higher order m-point boundary value problems with sign changing nonlinearities, Appl. Anal. Comput. 146(2003), 299-311.
11. B. G. Zhang and L.J.Kong; Positive solutions of fourth-order singular boundary value problems, Nonlinear Stud. 7(2000), 70-77.