Nonlinear higher order boundary value problems with multiple positive solutions

Journal of Mathematical Analysis and Applications

Volumn 286, Issue 2, 2003, Pages 682-691

  Baxley, John V ^a   Houmand, Corey R ^a  

^a WAKE FOREST UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242677006     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00510-9     Document Type: Article

References (8)

1. J. Baxley, P. Carroll, Nonlinear boundary value problems with multiple positive solutions, in: Proceedings of the 4th International Conference on Dynamical Systems and Differential Equations, supplement to Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences, 2003, pp. 83-90.
2. J.V. Baxley, L.J. Haywood, Nonlinear boundary value problems with multiple solutions, Nonlinear Anal. 47 (2001) 1187-1198.
3. J.V. Baxley, L.J. Haywood, Multiple positive solutions of nonlinear boundary value problems, Dynam. Contin. Discrete Impuls. Systems Ser. A 10 (2003) 157-168.
4. K.J. Brown, M.M.A. Ibrahim, R. Shivaji, S-shaped bifurcation curves, Nonlinear Anal. 5 (1981) 475-486.
5. J.R. Graef, C. Qian, B. Yang, Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations, Proc. Amer. Math. Soc. 131 (2003) 577-585.
6. J. Henderson, H.B. Thompson, Multiple symmetric positive solutions for a second order boundary value problem, Proc. Amer. Math. Soc. 128 (2000) 2373-2379.
7. J. Henderson, B. Thompson, Existence of multiple solutions for some nth order boundary value problems, Comm. Appl. Nonlinear Anal. 7 (2000) 55-62.
8. S.V. Parter, Solutions of a differential equation arising in chemical reactor processes, SIAM J. Appl. Math. 26 (1974) 687-716.