Existence of positive solutions for boundary-value problems of second-order delay differential equations

Applied Mathematics Letters

Volumn 18, Issue 6 SPEC. ISS., 2005, Pages 621-630

  Bai, Dingyong ^a,b   Xu, Yuantong ^a  

^a SUN YAT SEN UNIVERSITY   (China)

^b SHAOGUAN UNIVERSITY   (China)

Author keywords

Boundary value problems; Cone; Fixed point; Nonlinear delay second order differential equation; Positive solutions

Indexed keywords

CONTROL THEORY; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; NONLINEAR EQUATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING; THEOREM PROVING;

CONE; FIXED POINTS; FUNCTIONAL DIFFERENTIAL EQUATIONS; NONLINEAR DELAY SECOND-ORDER DIFFERENTIAL EQUATIONS; POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 15844419017     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2004.07.022     Document Type: Article

References (19)

1. L.H. Erbe, and Q.K. Kong Boundary value problems for singular second-order functional differential equations J. Comput. Appl. Math. 53 1994 377 388
2. Z.L. Liu, and F.Y. Li Multiple positive solutions of nonlinear two-point boundary value problem J. Math. Anal. Appl. 203 1996 610 625
3. D.Q. Jiang, and J.Y. Wang On boundary value problems for singular second-order functional differential equations J. Comput. Appl. Math. 116 2000 231 241
4. P.X. Weng Boundary value problems for second order mixed type functional differential equations Appl. Math.-JCU 12B 1997 155 164
5. D.Q. Jiang, and P.X. Weng Existence of positive solutions for boundary value problems of second-order functional differential equations EJQTDE (American) 6 1998 H4
6. P.X. Weng, and D.Q. Jiang Existence of positive solutions for boundary value problem of second-order FDE Comput. Math. Appl. 37 10 1999 1 9
7. K.S. Ha, and Y. Lee Existence of multiple positive solutions of singular boundary value problem Nonlinear Anal. 28 8 1997 1429 1438
8. A.M. Fink, J.A. Gatica, and G.E. Hernandez Eigenvalues of generalized gelfand models Nonlinear Anal. 20 12 1993 1453 1468
9. L.H. Erbe, and H.Y. Wang On the existence of positive solutions of ordinary differential equations Proc. Amer. Math. Soc. 120 1994 743 748
10. J. Henderson, and H.Y. Wang Positive solutions for nonlinear eigenvalue problems J. Math. Anal. Appl. 208 1997 252 259
11. J. Henderson, and W. Yin Positive solutions and nonlinear eigenvalue problems for functional differential equations Appl. Math. Lett. 12 1999 63 68
12. D.Q. Jiang Multiple positive solutions for boundary value problems of second-order delay differential equations Appl. Math. Lett. 15 2002 575 583
13. D. Guo, and V. Lakshmikantham Nonlinear Problems in Abstract Cones 1988 Academic Press New York
14. A. Anuradha, D.D. Hai, and R. Shivaji Existence results for superlinear semipositone BVP's Proc. Amer. Soc. 124 3 1996 757 763
15. D.D. Hai, K. Schmitt, and R. Shivaji Positive solutions of quasilinear boundary value problems J. Math. Anal. Appl. 217 1998 672 686
16. C. Maya, and R. Shivaji Multiple positive solutions for a class of semilinear elliptic boundary value problems Nonlinear Anal. 38 1999 497 504
17. V. Anuradha, C. Maya, and R. Shivaji Positive solutions for a class of nonlinear boundary value problems with Neumann-Robin boundary conditions J. Math. Anal. Appl. 236 1999 94 124
18. A. Castro, S. Gadam, and R. Shivaji Evolution of positive solution curves in semipositone problems with concave nonlinearities J. Math. Anal. Appl. 245 2000 282 293
19. D.D. Hai, and R. Shivaji An existence result on positive solutions for a class of P -Laplacian systems Nonlinear Anal. 56 2004 1007 1010