Multiple positive solutions of nonlinear boundary value problems

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 10, Issue 1-3, 2003, Pages 157-167

  Baxley, John V ^a   Haywood, Lyndsey Jessup ^a  

^a WAKE FOREST UNIVERSITY   (United States)

Author keywords

Multiple positive solutions; Nonlinear boundary value problems; Shooting

Indexed keywords

EID: 0242396771     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (8)

1. Baxley, J. V. and C. G. Enloe, Nonlinear initial value problems with positive global solutions, preprint.
2. Baxley, J. V. and L. J. Haywood, Nonlinear boundary value problems with multiple solutions, Nonlinear Analysis 47 (2001), 1187-1198.
3. Coddington, E. A. and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.
4. Coppel, W. A., Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.
5. Graef, J. R., C. Quian, and B. Yang, Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations, Proceedings American Mathematical Society, to appear.
6. Henderson, Johnny and H. B. Thompson, Multiple symmetric positive solutions for a second order boundary value problem, Proceedings American Mathematical Society, 128 (2000), 2373-2379.
7. Henderson, Johnny and H. B. Thompson, Existence of multiple solutions for some n-th order boundary value problems, Communications on Applied Nonlinear Analysis 7 (2000), 55-62.
8. Leggett, R. and L. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana University Mathematics Journal, 28 (1979), 673-688.