Existence Results for Some n-Dimensional Nonlocal Boundary Value Problems

Journal of Mathematical Analysis and Applications

Volumn 259, Issue 2, 2001, Pages 429-438

  Karakostas, G L ^a   Tsamatos, P Ch ^a  

^a UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Nonlocal boundary value problems; nonlinear alternative

Indexed keywords

EID: 0011597581     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7412     Document Type: Article

References (15)

1. Chandra J., Lakshmikantham V., Leela S. Comparison principle and theory of nonlinear boundary value problems. Proc. International Conf. on Nonlinear Phenomena in Mathematical Sciences. 1982;Academic Press, New York. p. 241-248.
2. Dugundji J., Granas A. Fixed Point Theory. 1982;Monographie Matematyczne, Warsaw.
3. Feng W., Webb J. R. L. Solvability of three point boundary value problems at resonance. Nonlinear Anal. 30:1997;3227-3238.
4. Gupta C. 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. Solvability of a generalized multi-point boundary value problem of mixed type for second order ordinary differential equations. Proc. Dynamic Systems Appl. 2:1995;215-222.
6. Gupta C., Ntouyas S. K., Tsamatos P. Ch. Existence results for m-point boundary value problems. Differential Equations Dynam. Systems. 2:1994;289-298.
7. Gupta C., Ntouyas S. K., Tsamatos P. Ch. On an m-point boundary value problem for second order ordinary differential equations. Nonlinear Anal. 23:1994;1427-1436.
8. Il'in V., Moiseev E. Nonlocal boundary value problems of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. Differential Equations. 23:1988;803-810.
9. Il'in V., Moiseev E. Nonlocal boundary value problems of the second kind for a Sturm-Liouville operator. Differential Equations. 23:1987;979-987.
10. Karakostas G. L. Causal operators and topological dynamics. Ann. Mat. Pura Appl. CXXXI:1982;1-27.
11. Lakshmikantham V. Abstract boundary value problems. Nonlinear Equations in Abstract Spaces. 1978;Academic Press, New York.
12. Lomtatidze A. G. A nonlocal boundary value problem for second-order linear ordinary differential equations. Differential Equations. 31:1995;411-420.
13. Ma R. Positive solutions of a nonlinear three-point boundary-value problem. Electron. J. Differential Equations. 1998;1-8.
14. Ward J. R. Semilinear boundary value problems in Banach Spaces. Nonlinear Equations in Abstract Spaces. 1978;Academic Press, New York.
15. Yuyun D. On solvability of second-order Sturm-Liuville boundary value problems at resonance. Proc. Amer. Math. Soc. 126:1998;145-152.