A second-order singular three-point boundary value problem

Applied Mathematics Letters

Volumn 17, Issue 8, 2004, Pages 969-976

  Singh, P ^a  

^a BAYLOR UNIVERSITY   (United States)

Author keywords

Boundary value problem; Fixed point theorem

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; ORDINARY DIFFERENTIAL EQUATIONS; THEOREM PROVING;

FIXED-POINT THEOREM; STURM-LOUIVILLE BOUNDARY VALUE PROBLEMS; THREE-POINT BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS;

EID: 7444272023     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2003.08.011     Document Type: Article

References (13)

1. J.A. Gatica, V. Oliker and P. Waltman, Singular nonlinear boundary value problems for second-order ordinary differential equations, J. Differential Equations 79, 62-78, (1989).
2. J. Henderson and W. Yin, Singular (k, n - k) boundary value problems between conjugate and right focal. Positive solutions of nonlinear problems, J. Comput. Appl. Math. 88, 57-69, (1998).
3. J. Henderson and W. Yin, Focal boundary-value problems for singular ordinary differential equations, In Advances in Nonlinear Dynamics, Volume 5, Stability Control Theory Methods Appl., pp. 283-295, Gordon and Breach, Amsterdam, (1997).
4. P. Eloe and J. Henderson, Singular nonlinear boundary value problems for higher ordinary differential equations, Nonlinear Anal. 17, 1-10, (1991).
5. D. O'Regan, Existence of solutions to third order boundary value problems, Proc. Royal Irish Acad. Sect. A 90 (2), 173-189, (1990).
6. A.G. Lomtatidze, A singular three-point boundary value problem, (in Russian), Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 17, 122-134, (1986).
7. C.P. Gupta, Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation, J. Math. Anal. Appl. 168, 540-551, (1992).
8. C.P. Gupta, A sharper condition for the solvability of a three-point second order boundary value problem, J. Math. Anal. Appl. 205, 586-579, (1997).
9. D. Anderson, Multiple positive solutions for a three-point boundary value problem, Mathl. Comput. Modelling 27 (6), 49-57, (1998).
10. R. Ma, Positive solutions of a nonlinear three-point boundary value problem, Electron. J. Differential Equations 1998 (34), 1-8, (1998).
11. B. Yang, Boundary value problems for ordinary differential equations, Doctoral Dissertation, Mississippi State University, Mississippi State, MS, (August 2002).
12. M.A. Krasnosel'skii, Positive Solutions to Operator Equations, Noordhoff, Groningen, The Netherlands, (1964).
13. H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev. 18, 620-709, (1976).