Twin positive solutions for the one-dimensional p-Laplacian boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 56, Issue 7, 2004, Pages 975-984

  He, Xiaoming ^a   Ge, Weigao ^b  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Concavity; Fixed point theorem in cones; One dimensional p Laplacian; Positive solutions

Indexed keywords

FUNCTIONS; INTEGRATION; LAPLACE TRANSFORMS; NONLINEAR EQUATIONS; SET THEORY; THEOREM PROVING;

CONCAVITY; FIXED POINT THEOREM IN CONES; ONE-DIMENSIONAL P-LAPLACIAN; POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0742272532     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2003.07.022     Document Type: Article

References (8)

1. Avery R.I., Chyan C.J., Henderson J. Twin solutions of boundary value problems for ordinary differential equations and finite difference equations. Comput. Math. Appl. 42:2001;695-704.
2. Avery R.I., Henderson J. Two positive fixed points of nonlinear operators on ordered Banach spaces. Commun. Appl. Nonlinear Anal. 8:2001;27-36.
3. Erbe L.H., Hu S.C., Wang H.Y. Multiple positive solutions of some boundary value problems. J. Math. Anal. Appl. 184:1994;640-648.
4. Guo D., Lakshmikantham V. Nonlinear Problems in Abstract Cones. 1988;Academic Press, Boston.
5. Henderson J., Thompson H.B. Multiple symmetric positive solutions for second order boundary value problem. Proc. Amer. Math. Soc. 128:2000;2373-2379.
6. Kong L., Wang J. Multiple positive solutions for the one-dimensional. p -Laplacian Nonlinear Anal. 42:2000;1327-1333.
7. Lian W.C., Wong F.H., Yech C.C. On the existence of positive solutions of nonlinear second order differential equations. Proc. Amer. Math. Soc. 124:1996;1117-1126.
8. Wang J. The existence of positive solutions for the one-dimensional. p -Laplacian Proc. Amer. Math. Soc. 125:1997;2275-2283.