Nontrivial solutions of singular superlinear Sturm-Liouville problems

Journal of Mathematical Analysis and Applications

Volumn 313, Issue 2, 2006, Pages 518-536

  Sun, Jingxian ^a   Zhang, Guowei ^b  

^a JIANGSU NORMAL UNIVERSITY   (China)

^b NORTHEASTERN UNIVERSITY   (China)

Author keywords

Nontrivial solution; Positive solution; Second order singular equation; Topological degree; Two point boundary value problem

Indexed keywords

EID: 28244435179     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.06.087     Document Type: Article

References (20)

1. D. O'Regan Theory of Singular Boundary Value Problems 1994 World Scientific Singapore
2. P. Habets F. Zanolin Upper and lower solutions for a generalized Emden - Fowler equation J. Math. Anal. Appl. 181 1994 684-700
3. L.H. Erbe R.M. Mathsen Positive solutions for singular nonlinear boundary value problems Nonlinear Anal. 46 2001 979-986
4. J. Wang On positive solutions of singular nonlinear two-point boundary value problems J. Differential Equations 107 1994 163-174
5. Y. Zhang Positive solutions of singular sublinear Emden - Fowler boundary value problems J. Math. Anal. Appl. 185 1994 215-222
6. R. Ma Positive solutions of singular second order boundary value problem Acta Math. Sinica 41 1998 1225-1230
7. Z. Wei Positive solutions of singular boundary value problems of negative exponent Emden - Fowler equations Acta Math. Sinica 41 1998 655-662
8. Z. Zhao Positive solutions of boundary value problems for nonlinear singular differential equations Acta Math. Sinica 43 2000 179-188
9. J. Cheng Positive solutions of second order boundary value problems Acta Math. Sinica 44 2001 429-436
10. R.P. Agarwal D. O'Regan A note on existence of nonnegative solutions to singular semi-positone problems Nonlinear Anal. 36 1999 615-622
11. J. Cheng Positive solutions of singular semi-positone problems Acta Math. Sinica 44 2001 673-678
12. D. Guo V. Lakshmikantham Nonlinear Problems in Abstract Cones 1988 Academic Press San Diego, CA
13. K. Deimling Nonlinear Functional Analysis 1985 Springer-Verlag Berlin
14. D. Guo J. Sun Z. Liu Functional Methods in Nonlinear Ordinary Differential Equations 1995 Shandong Sci. Tech. Jinan (in Chinese)
15. M.A. Krasnoselskii P.P. Zabreiko Geometrical Methods of Nonlinear Analysis 1984 Springer-Verlag New York
16. Z. Rubinstein A Course in Ordinary and Partial Differential Equations 1969 Academic Press New York
17. D. Guo J. Sun Nonlinear Integral Equations 1987 Shandong Sci. Tech. Jinan (in Chinese)
18. M.A. Krasnoselskii Topological Methods in the Theory of Nonlinear Integral Equations 1964 Pergamon Press Oxford
19. M.H. Protter H.F. Weinberger Maximum Principles in Differential Equations 1967 Prentice Hall New York
20. Y. Li Positive solutions of second-order boundary value problems with sign-changing nonlinear terms J. Math. Anal. Appl. 282 2003 232-240