Multiple positive solutions for boundary value problems of second order delay differential equations with one-dimensional p-Laplacian

Journal of Mathematical Analysis and Applications

Volumn 326, Issue 1, 2007, Pages 641-654

  Wang, Youyu ^a   Zhao, Wenxia ^b   Ge, Weigao ^c  

^a TIANJIN UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

^c BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Boundary value problems; Delay differential equations; Multiple positive solutions; One dimensional p Laplacian

Indexed keywords

EID: 33750634094     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.03.028     Document Type: Article

References (17)

1. Guo D., and Lakshmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, New York
2. Krasnosel'skii M.A. Positive Solutions of Operator Equations (1964), Noordhoff, Groningen
3. Leggett R.W., and Williams L.R. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979) 673-688
4. Avery R.I., and Peterson A.C. Three positive fixed points of nonlinear operators on ordered Banach spaces. Comput. Math. Appl. 42 (2001) 313-322
5. Agarwal R.P., Lü H., and O'Regan D. Eigenvalues and the one-dimensional p-Laplacian. J. Math. Anal. Appl. 266 (2002) 383-400
6. Agarwal R.P., and O'Regan D. Twin solutions to singular Dirichlet problems. J. Math. Anal. Appl. 240 (1999) 433-445
7. del Pino M.A., Drábek P., and Manásevich R. The Fredholm alternative at the first eigenvalue for the one dimensional p-Laplacian. J. Differential Equations 151 (1999) 386-419
8. Manásevich R., and Zanolin F. Time-mappings and multiplicity of solutions for the one dimensional p-Laplacian. Nonlinear Anal. 21 (1993) 269-291
9. Wang J., and Gao W. A singular boundary value problem for the one-dimensional p-Laplacian. J. Math. Anal. Appl. 201 (1996) 851-866
10. Lü H., and Zhong C. A note on singular nonlinear boundary value problem for the one dimensional p-Laplacian. Appl. Math. Lett. 14 (2001) 189-194
11. Lü H., O'Regan D., and Zhong C. Multiple positive solutions for the one-dimensional singular p-Laplacian. Appl. Math. Comput. 133 (2002) 407-422
12. Bai Z., Wang Y., and Ge W. Triple positive solutions for a class of two-point boundary-value problems. Electron. J. Differential Equations 06 (2004) 1-8
13. Shu X., and Xu Y. Triple positive solutions for a class of boundary value problem of second-order functional differential equations. Nonlinear Anal. 61 (2005) 1401-1411
14. Jiang D. Multiple positive solutions for boundary value problem of second-order delay differential equations. Appl. Math. Lett. 15 (2002) 575-583
15. Bai Z., Gui Z., and Ge W. Multiple positive solutions for some p-Laplacian boundary value problems. J. Math. Anal. Appl. 300 (2004) 477-490
16. Wang Y., and Ge W. Triple positive solutions for two-point boundary-value problems with one-dimensional p-Laplacian. Appl. Anal. 84 (2005) 821-831
17. Jiang D., Xu X., O'Regan D., and Agarwal R.P. Existence theory for single and multiple solutions to singular positone boundary value problems for the delay one-dimensional p-Laplacian. Ann. Polon. Math. 81 (2003) 237-259