Existence and uniqueness of solutions to first-order three-point boundary value problems

Applied Mathematics Letters

Volumn 15, Issue 2, 2002, Pages 211-216

  Ma, Ruyun ^a  

^a NORTHWEST NORMAL UNIVERSITY   (China)

Author keywords

Existence and uniqueness of solution; First order system; Leray Schauder continuation theorem; Three point boundary value problems

Indexed keywords

EID: 31244437004     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(01)00120-3     Document Type: Article

References (7)

1. M. Moshinsky, Sobre los problemas de condiciones a la frontiera en una dimension de caracteristicas discontinuas, Bol. Soc. Mat. Mexicana 7, 1-25, (1950).
2. S. Timoshenko, Theory of Elastic Stability, McGraw-Hill, New York, (1961).
3. V.A. Il'in and E.I. Moiseev, Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator, Differential Equations 23 (8), 979-987, (1987).
4. C.P. Gupta, A sharper condition for the solvability of a three-point second order boundary value problem, J. Math. Anal. Appl. 205, 586-597, (1997).
5. R. Ma, Positive solutions of a nonlinear three-point boundary value problem, Electronic Journal of Differential Equations 34, 1-8, (1999).
6. K.N. Murty and S. Sivasundaram, Existence and uniqueness of solutions to three-point boundary value problems associated with nonlinear first order systems of differential equations, J. Math. Anal. Appl. 173, 158-164, (1993).
7. J. Mawhin, Topological degree methods on nonlinear boundary value problems, In NSF-CBMS Regional Conference Series in Math., Vol. 40, Amer. Math. Soc., Providence, RI, (1979).