Green's function and positive solutions for higher-order ODE

Applied Mathematics and Computation

Volumn 136, Issue 2-3, 2003, Pages 379-393

  Yang, Xiaojing ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Fixed points; Green's function; Positive solutions

Indexed keywords

BOUNDARY VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

POSITIVE SOLUTIONS;

GREEN'S FUNCTION;

EID: 0037443356     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00056-5     Document Type: Article

References (8)

1. Eloe P.W., Henderson J. Positive solutions for. (n-1,1) conjugate boundary value problems Nonlinear Anal. 28:1997;1669-1680.
2. Eloe P.W., Henderson J. Singular nonlinear. (k,n-k) conjugate boundary value problems J. Differential Equations. 133:1979;136-151.
3. Agarwal R.P., O'Regen D. Positive solutions for. (p,n-p) conjugate boundary value problems J. Differential Equations. 150:1998;462-473.
4. Agarwal R.P., Bohner M., Womg P.J.Y. Positive solutions and eigenvalues of conjugate boundary value problems. Proc. Edinburgh Math. Soc. 42:1999;349-374.
5. Wong P.J.Y., Agarwal R.P. Eigenvalues of Lidstone boundary value problems. Appl. Math. Comput. 104:1999;15-31.
6. Krasnoselskii M.A. Positive Solutions of Operator Equations. 1964;Noordhoff, Groningen.
7. Gatica J.A., Smith H.L. Fixed point theorems in cone with applications. J. Math. Anal. Appl. 61:1997;58-71.
8. Leggett R., Williams L. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28:1979;673-688.