Existence of positive solutions for functional differential equations

Computers and Mathematics with Applications

Volumn 40, Issue 6, 2000, Pages 783-792

  Hong, Chen Huang ^a   Yeh, Cheh Chih ^a   Lee, Chung Fen ^b   Wong, Fu Hsiang ^c  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^b NATIONAL UNITED UNIVERSITY   (Taiwan)

^c National Taipei Teacher's College   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

FUNCTIONAL DIFFERENTIAL EQUATIONS; OPERATOR EQUATION; POSITIVE SOLUTION;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0034275241     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00196-6     Document Type: Article

References (12)

1. C. Bandle, C.V. Coffman and M. Marcus, Nonlinear elliptic problems in annular domains, J. Differential Equations 69, 322-345, (1987).
2. C. Bandle and M.K. Kwong, Semilinear elliptic problems in annular domains, J. Appl. Math. Phys. 40, 245-257, (1989).
3. L.H. Erbe and H. Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120, 743-748, (1994).
4. W.C. Lian, F.H. Wong and C.C. Yeh, On the positive solutions of nonlinear second-order differential equations, Proc. Amer. Math. Soc. 124, 1117-1126, (1996).
5. F.H. Wang, Existence of positive solutions of singular boundary value problems, Nonlinear Analysis TM&A 21, 397-406, (1993).
6. L.H. Erbe and Q.K. Kong, Boundary value problems for singular second-order functional differential equations, J. Compu. & Math. Appl. 53, 377-388, (1994).
7. J.W. Lee and D. O'Regan, Existence results for differential delay equations-I, J. Diff. Eqns. 102, 342-359, (1993).
8. J.W. Lee and D. O'Regan, Existence results for differential delay equations-II, Nonlinear Analysis TM&A 17, 683-702, (1991).
9. S.K. Ntouyas, Y.G. Sficas and P.Ch. Tsamatos, An existence principle for boundary value problems for second order functional differential equations, Nonlinear Analysis TM&A 20, 215-222, (1993).
10. P. Weng and D. Jiang, Existence of positive solutions for boundary value problem of second-order FDE, Computers Math. Applic. 37 (10), 1-9, (1999).
11. M.A. Krasnoselskii, Positive Solutions of Operator Equations, Noordhoff, Groningen, (1964).
12. K. Deimling, Nonlinear Functional Analysis, Springer, New York, (1985).