Eigenvalues of second order differential equations with singularities

Proceedings of the International Conference on Dynamical Systems and Differential Equations

Volumn , Issue SPEC. ISSUE, 2001, Pages 241-247

  Lan, Kunquan ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DYNAMICAL SYSTEMS;

EIGENVALUES; HAMMERSTEIN INTEGRAL EQUATIONS; SECOND-ORDER DIFFERENTIAL EQUATION;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 33749626388     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. L. H. Erbe, S. Hu and H. Wang, Multiple positive solutions of some boundary valued problems, J. Math. Anal. Appi. 184 (1994), 640-648.
2. L. H. Erbe and H. Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc., 120 (1994), 743-748.
3. A. M. Fink, J. A. Gatica and G. E. Hernandez, Eigenvalues of generalized Gelfand models, Nonlinear Analysis, 20 (1993), 1453-1468.
4. D. Guo and V. Lakshmikantham, "Nonlinear Problems in Abstract Cones," Academic Press, 1988.
5. J. A. Gatica and H. L. Smith, Fixed point techniques in a cone with applications, J. Math. Anal. Appl. 61 (1977), 58-71.
6. G. B. Gustafson and K. Schmitt, Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations, J. Differential Equations 12 (1972), 129-147.
7. K. Q. Lan, Multiple positive solutions of semilinear differential equations with singularities, J. London Math. Soc., to appear.
8. K. Q. Lan, Multiple positive solutions of Hammerstein integral equations with singularities, Differential Equations and Dynamical Systems, 8 (2000), 175-192.
9. K. Q. Lan and J. R. L. Webb, Positive solutions of semilinear differential equations with singularities, J. Differential Equations 148 (1998), 407-421.
10. Z. Liu and F. Li, Multiple positive solutions of nonlinear two-point boundary value problems, J. Math. Anal. Appi. 203 (1996), 610-625.
11. C. D. Luning, An iterative technique for obtaining solutions of a Thomas-Fermi equation, SIAM J. Math. Anal. 9 (1978), 515-522.
12. C. D. Luning and W. L. Perry, An iterative technique for solution of the Thomas-Fermi equation utilizing a nonlinear eigenvalue problem, Quart. Appl. Math. 35 (1977), 257-268.
13. C. D. Luning and W. L. Perry, Positive solutions of superlinear eigenvalue problems via a monotone iterative technique, J. Differential Equations 33 (1979), 359-367.
14. C. D. Luning and W. L. Perry, Positive solutions of negative exponent generalized Emden-Fowler boundary value problems, SIAM J. Math. Anal. 12 (1981), 874-879.
15. J. S. W. Wong, On the generalized Emden-Fowler equation, SIAM Rev. 17 (1975), 339-360.