A sharper condition for the solvability of a three-point second order boundary value problem

Journal of Mathematical Analysis and Applications

Volumn 205, Issue 2, 1997, Pages 586-597

  Gupta, Chaitan P ^a   Trofimchuk, Sergej I ^b  

^a UNIVERSITY OF NEVADA   (United States)

^b INSTITUTE OF HYDROBIOLOGY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; FUNCTIONS; PROBLEM SOLVING;

CARATHEODORY CONDITIONS; THREE POINT SECOND ORDER BOUNDARY VALUE PROBLEM;

MATHEMATICAL TECHNIQUES;

EID: 0031567816     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5252     Document Type: Article

References (16)

1. Bitsadze A. V. On the theory of nonlocal boundary value problems. Soviet Math. Dokl. 30:1984;8-10.
2. Bitsadze A. V. On a class of conditionally solvable nonlocal boundary value problems for harmonic functions. Soviet Math. Dokl. 31:1985;91-94.
3. Bicadze A. V., Samarskii A. A. On some simple generalizations of linear elliptic boundary problems. Soviet Math. Dokl. 10:1969;398-400.
4. Gupta C. P. Solvability of a three-point boundary value problem for a second order ordinary differential equation. J. Math. Anal. Appl. 168:1992;540-551.
5. Gupta C. P. A note on a second order three-point boundary value problem. J. Math. Anal. Appl. 186:1994;277-281.
6. Gupta C. P. A second orderm. Int. J. Nonlinear Anal. Theory, Methods, Appl. 24:1995;1483-1489.
7. Gupta C. P. Solvability of a multi-point boundary value problem at resonance. Results in Math. 28:1995;270-276.
8. Gupta C. P. Existence theorems for a second orderm. Int. J. Math. Math. Sci. 18:1995;705-710.
9. Gupta C. P. A Dirichlet type multi-point boundary value problem for second order ordinary differential equations. Int. J. Nonlinear Anal. Theory, Methods Appl. 26:1996;925-931.
10. Gupta C. P., Ntouyas S. K., Tsamatos P. Ch. On anm. Int. J. Nonlinear Anal. Theory, Methods, Appl. 23:1994;1427-1436.
11. Gupta C. P., Ntouyas S. K., Tsamatos P. Ch. Existence results form. Differential Equations and Dynamical Systems. 2:1994;289-298.
12. Gupta C. P., Ntouyas S. K., Tsamatos P. Ch. Solvability of anm. J. Math. Anal. Appl. 189:1995;575-584.
13. Marano S. A. A remark on a second-order three-point boundary value problem. J. Math. Anal. Appl. 183:1994;518-522.
14. J. Mawhin, 1979, Topological Degree Methods in Nonlinear Boundary Value Problems, NSF-CBMS Regional Conference Series in Math. 40, Amer. Math. Soc. Providence, RI.
15. Il'in V. A., Moiseev E. I. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. Differential Equations. 23:1987;803-810.
16. Il'in V. A., Moiseev E. I. Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator. Differential Equations. 23:1987;979-987.