Positive solutions to a multi-point boundary value problem with delay

Applied Mathematics and Computation

Volumn 188, Issue 1, 2007, Pages 96-102

  Wang, Weibing ^a   Shen, Jianhua ^a,b  

^a HUNAN NORMAL UNIVERSITY   (China)

^b University of Huaihua   (China)

Author keywords

Cone; Delay differential equation; Fixed point theorem; Multi point boundary value problems; Positive solution

Indexed keywords

DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS;

FIXED-POINT THEOREM; MULTI-POINT BOUNDARY VALUE PROBLEMS; POSITIVE SOLUTIONS; SECOND-ORDER DELAY DIFFERENTIAL EQUATIONS;

BOUNDARY VALUE PROBLEMS;

EID: 34247584057     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.09.093     Document Type: Article

References (17)

1. Fink M., Gatica J.A., and Hernandez G.E. Eigenvalues of generalized gelfand models. Nonlinear Anal. 20 12 (1993) 1453-1468
2. Przeradzki B., and Stańczy R. Solvability of a multi-point boundary value problem at resonance. J. Math. Anal. Appl. 26 (2001) 253-261
3. Jiang D.Q. Multiple positive solutions for boundary value problems of second-order delay differential equations. Appl. Math. Lett. 15 (2002) 575-583
4. Bai D., and Xu Y. Existence of positive solutions for boundary-value problems of second-order delay differential equations. Appl. Math. Lett. 18 (2005) 621-630
5. Kaufmann E.R. Positive solutions of a three-point boundary value on a time scale. Electron. J. Differ. Eq. 82 (2003) 1-11
6. Henderson J., and Thompson H.B. Existence and multiple solutions for second order boundary value problems. J. Differ. Eq. 166 (2000) 443-454
7. Webb J.R.L. Positive solutions of some three-point boundary value problems via fixed point index theory. Nonlinear Anal. 47 (2001) 4319-4332
8. Henderson J. Boundary Value Problems for Functional Equations (1995), World Scientific
9. Ma R., and Castaneda N.. Existence of solutions of nonlinear m-point boundary value problems. J. Math. Anal. Appl. 256 (2001) 556-567
10. Ha K.S., and Lee Y. Existence of multiple positive solutions of singular boundary value problem. Nonlinear Anal. 28 8 (1997) 1429-1438
11. Ma R. Positive solutions of a nonlinear three-point boundary-value problem. Electron. J. Differ. Eq. 34 (1999) 1-8
12. Marano S. A remark on a second-order three-point boundary value problem. J. Math. Anal. Appl. 183 3 (1994) 518-522
13. Zhang Z., and Wang J. Positive solutions to a second order three-point boundary value problem. J. Math. Anal. Appl. 285 (2003) 237-249
14. Ntouyas S.K., Sficas Y.G., and Tsamatos P. An existence principle for boundary value problems for second order functional differential equations. Nonlinear Anal. 56 (2004) 1007-1010
15. Il'in V.A., and Moiseev E.I. Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. J. Differ. Eq. 23 7 (1987) 803-810
16. Il'in V.A., and Moiseev E.I. Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator. J. Differ. Eq. 23 8 (1987) 979-987
17. Guo D., and Lakshmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, New York