Triple positive solutions for a class of boundary value problems for second-order neutral functional differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 65, Issue 4, 2006, Pages 825-840

  Shu, Xiao Bao ^a   Li Hong, Huang ^a   Li, Yong Jin ^b  

^a HUNAN UNIVERSITY   (China)

^b SUN YAT SEN UNIVERSITY   (China)

Author keywords

Boundary value problem; Fixed point theorem; Neutral functional differential equation; Triple positive solution

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

FIXED-POINT THEOREM; NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION; NONLINEAR OPERATORS; TRIPLE POSITIVE SOLUTION;

BOUNDARY VALUE PROBLEMS;

EID: 33646840475     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.10.015     Document Type: Article

References (13)

1. Avery R.I., and Peeterson A.C. Three positive fixed points of nonlinear operators on ordered Banach spaces. Comput. Math. Appl. 42 (2001) 313-322
2. Avery R.I. A generalization of the Leggett-Williams fixed point theorem. Math. Sci. Res. Hot-Line 2 (1998) 9-14
3. Shu X.B., and Xu Y.T. Triple positive solutions for a class of boundary value problems of second-order functional differential equations. Nonlinear Anal. 61 8 (2005) 1401-1411
4. Erbe L.H., and Kong Q.K. Boundary value problems for singular second-order functional differential equations. J. Comput. Appl. Math. 53 (1994) 377-388
5. Lalli B.S., and Zhang B.G. Boundary value problems for second order functional differential equations. Ann. Differential Equations 8 (1992) 261-268
6. Lee J.W., and O'Regan D. Existence results for differential delay equations-I. J. Differential Equations 102 (1993) 342-359
7. Lee J.W., and O'Regan D. Existence results for differential delay equations-II. Nonlinear Anal. 17 (1991) 683-702
8. Ntouyas S.K., Sficas Y.G., and Tsamatos P.Ch. An existence principle for boundary value problems for second order functional differential equations. Nonlinear Anal. 20 (1993) 215-222
9. Weng P.X. Boundary value problems for second order mixed type functional differential equations. Appl. Math. J. Chinese Univ. 12B (1997) 155-164
10. Bai Z., Wang Y., and Ge W. Triple positive solutions for a class of two-point boundary-value problems. Electron. J. Differential Equations (2004) 1-8
11. Zeidle E. Nonlinear Analysis and Its Applications I: Fixed-Point Theorems (1993), Springer-Verlag, New York
12. Agarwal R.P., O'Regan D., and Wong P.J.Y. Positive Solutions of Differential, Difference, and Integral Equations (1999), Kluwer Academic Publishers, Boston
13. Leggett R.W., and Williams L.R. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. 28 (1979) 673-688