Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems

Electronic Journal of Differential Equations

Volumn 2002, Issue , 2002, Pages

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

^a UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Integral equations; Multiple solutions; Nonlocal boundary value problems

Indexed keywords

EID: 52449117202     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. R. P. Agarwal, D. O'Regan and P. J. Y. Wong, Positive solutions of differential, difference and integral equations, Kluwer Academic Publishers, Dordtreht, 1999.
2. R. Agarwal and D. O'Regan, Existence results for singular integral equations of Fredholm type, Appl. Math. Letters, Vol. 13, 2000, pp. 27-34.
3. R. Agarwal and D. O'Regan, A fixed point theorem of Legget-Williams type with applications to single and multivalued equations, Georg. Math. J., Vol. 8, 2001, pp. 13-25.
4. R. P.Agarwal and D. O'Regan, Infinite interval problems for differential, difference and integral equations, Kluwer Academic Publishers, Dordtreht, 2001
5. D. Cao and R. Ma, Positive solutions to a second order multi-point boundary-value problem, Electron. J. Differential Equations, Vol. 2000 (2000), No. 65, pp. 1-8.
6. C. Corduneanu, Integral Equations and Applications, Cambridge University Press, Cambridge, 1991.
7. J. M. Gallardo, Second order differential operators with integral boundary conditions and generation of smigroups, Rocky Mountain J. Math., Vol. 30, 2000, pp. 1265-1292.
8. G. L. Karakostas and P. Ch. Tsamatos, Positive solutions of a boundaryvalue problem for second order ordinary differential equations, Electron. J. of Differential Equations Vol. 2000 (200), No.49, pp. 1-9
9. G. L. Karakostas and P. Ch. Tsamatos, Existence results for some ndimensional nonlocal boundary-value problems, J. Math. Anal. Appl. Vol. 259, 2001, pp. 429-438.
10. G. L. Karakostas and P. Ch. Tsamatos, Positive solutions for a nonlocal boundary-value problem with increasing responce, Electron. J. Differential Equations Vol. 2000 (2000), No.73, pp. 1-8.
11. G. L. Karakostas and P. Ch. Tsamatos, Multiple positive solutions for a nonlocal boundary-value problem with responce function quiet at zero, Electron. J. Differential Equations Vol. 2001 (2001), No.13, pp. 1-10.
12. G. L. Karakostas and P. Ch. Tsamatos, Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary-value problem, Appl. Math. Letters (in press).
13. G. L. Karakostas and P. Ch. Tsamatos, Functions uniformly quiet at zero and existence results for one-parameter boundary-value problems, Ann. Polon. Math, (in press).
14. G. L. Karakostas and P. Ch. Tsamatos, Existence of multiple positive solutions for a nonlocal boundary-value problem, Topological Methods in Nonlinear Analysis (in press).
15. G. L. Karakostas and P. Ch. Tsamatos, Nonlocal boundary vector valued problems for ordinary differential systems of higher order, Nonlinear Analysis TMA (in press).
16. M. A. Krasnoselskii, Positive solutions of operator equations, Noordhoff, Groningen, 1964.
17. K. Q. Lan, Multiple positive solutions of Hamerstein integral equations with singularities, Diff. Equations Dyn. Systems, Vol. 8, 2000, pp. 154-192.
18. A. Lomtatidze and L. Malaguti, On a nonlocal boundary-value problem for second order nonlinear singular differential equations Georg. Math. J., Vol. 7, 2000, pp. 133-154.
19. R. Ma and N. Castaneda, Existence of solutions of nonlinear m-point boundary-value problems, J. Math. Anal. Appl., Vol. 256, 2001, pp. 556-567.
20. M. Meehan and D. O'Regan, Positive solutions of singular and nonsingulat Fredholm integral equations, J. Math. Anal. Appl., Vol. 240, 1999, pp. 416432.
21. D. O'Regan Existence results for nonlinear integral equations, J. Math. Anal. Appl., Vol. 192, 1995, pp. 705-726.