Eigenvalues of some non-local boundary-value problems

Proceedings of the Edinburgh Mathematical Society

Volumn 46, Issue 1, 2003, Pages 75-86

  Infante, Gennaro ^a  

^a UNIVERSITY OF CALABRIA   (Italy)

Author keywords

Cone; Fixed point index; Non zero solution

Indexed keywords

EID: 0037298779     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0013091501001079     Document Type: Conference Paper

References (13)

1. L. ERBE, Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems, Math. Comput. Modelling 32 (2000), 529-539.
2. L. H. ERBE, S. C. Hu AND H. WANG, Multiple positive solutions of some boundary value problems, J. Math. Analysis Applic. 184 (1994), 640-648.
3. C. P. GUPTA AND S. I. TROFIMCHUK, A sharper condition for the solvability of a three-point second order boundary value problem, J. Math. Analysis Applic. 205 (1997), 586-597.
4. C.P. GUPTA, S. K. NTOUYAS AND P. CH. TSAMATOS, On an m-point boundary value problem for second order ordinary differential equations, Nonlin. Analysis 23 (1994), 1427-1436.
5. G. INFANTE AND J. R. L. WEBB, Three point boundary value problems with solutions that change sign, J. Integ. Eqns Appl., in press.
6. G. INFANTE AND J. R. L. WEBB, Nonzero solutions of Hammerstein integral equations with discontinuous kernels, J. Math. Analysis Applic., in press.
7. M.A. KRASNOSEL'SKII, Topological methods in the theory of nonlinear integral equations (transl. A. H. Armstrong; ed. J. Burlak) (Pergamon Press/Macmillan, New York, 1964).
8. K. Q. LAN, Multiple positive solutions of Hammerstein integral equations with singularities, Diff. Eqns Dynam. Syst. 8 (2000), 175-195.
9. K. Q. LAN, Eigenvalues of second order differential equations with signularities, Proc. Int. Conf. on Dynamical Systems and Differential Equations, Kennesaw, GA, 2000, pp. 241-247.
10. K. Q. LAN AND J. R. L. WEBB, Positive solutions of semilinear differential equations with singularities, J. Diff. Eqns 148 (1998), 407-421.
11. R. MA, Positive solutions of a nonlinear three-point boundary-value problem, Electron. J. Diff. Eqns 34 (1999), 1-8.
12. R. MA, Multiplicity of positive solutions for second-order three-point boundary value problems, Comput. Math. Appl. 40 (2000), 193-204.
13. J. R. L. WEBB, Positive solutions of some three point boundary value problems via fixed point index theory, Nonlin. Analysis 47 (2001), 4319-4332.