Positive solutions for third-order three-point nonhomogeneous boundary value problems

Applied Mathematics Letters

Volumn 22, Issue 1, 2009, Pages 45-51

  Sun, Yongping ^a  

^a ZHEJIANG UNIVERSITY OF MEDIA AND COMMUNICATIONS   (China)

Author keywords

Existence and nonexistence; Fixed point theorem; Nonhomogeneous; Positive solutions; Third order three point BVPs

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; INITIAL VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS; TERNARY SYSTEMS;

EXISTENCE AND NONEXISTENCE; FIXED POINT THEOREM; NONHOMOGENEOUS; POSITIVE SOLUTIONS; THIRD-ORDER THREE-POINT BVPS;

TURBULENT FLOW;

EID: 55649121388     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2008.02.002     Document Type: Article

References (17)

1. Anderson D. Multiple positive solutions for a three-point boundary value problem. Math. Comput. Modelling 27 (1998) 49-57
2. Anderson D. Green's function for a third-order generalized right focal problem. J. Math. Anal. Appl. 288 (2003) 1-14
3. Anderson D., and Davis J.M. Multiple solutions and eigenvalues for third-order right focal boundary value problems. J. Math. Anal. Appl. 267 (2002) 135-157
4. Bai Z., and Fei X. Existence of triple positive solutions for a third order generalized right focal problem. Math. Inequal. Appl. 9 (2006) 437-444
5. Boucherif A., and Al-Malki N. Nonlinear three-point third order boundary value problems. Appl. Math. Comput. 190 (2007) 1168-1177
6. Chen H. Positive solutions for the nonhomogeneous three-point boundary value problem of second-order differential equations. Math. Comput. Modelling 45 (2007) 844-852
7. J.R. Graef, Bo Yang, Multiple positive solutions to a three point third order boundary value problem, Discrete Contin. Dyn. Syst. 2005 (Suppl.) 1-8
8. Grossinho M.R., and Minhos F.M. Existence result for some third order separated boundary value problems. Nonlinear. Anal. 47 (2001) 2407-2418
9. Guo D., and Lakshmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, San Diego
10. Guo L., Sun J., and Zhao Y. Existence of positive solution for nonlinear third-order three-point boundary value problem. Nonlinear. Anal. 68 10 (2008) 3151-3158
11. Kong L., and Kong Q. Multi-point boundary value problems of second-order differential equations (I). Nonlinear. Anal. 58 (2004) 909-931
12. Kong L., and Kong Q. Multi-point boundary value problems of second-order differential equations (II). Comm. Appl. Nonlinear. Anal. 14 (2007) 93-111
13. Krasnosel'skii M.A. Positive solutions of operator equations (1964), Noordhoff, Groningen, Netherlands
14. Ma R. Positive solutions for a second order three-point boundary-value problems. Appl. Math. Lett. 14 (2001) 1-5
15. Sun Y. Positive solutions of singular third-order three-point boundary value problems. J. Math. Anal. Appl. 306 (2005) 589-603
16. Yao Q. The existence and multiplicity of positive solutions for a third-order three-point boundary value problem. Acta Math. Appl. Sin. 19 (2003) 117-122
17. Yu H., Lü H., and Liu Y. Multiple positive solutions to third-order three-point singular semipositone boundary value problem. Proc. Indian Acad. Sci. Math. Sci. 114 (2004) 409-422