Positive solutions and eigenvalue intervals of nonlocal boundary value problems with delays

Journal of Mathematical Analysis and Applications

Volumn 334, Issue 2, 2007, Pages 1152-1166

  Bai, Dingyong ^a   Xu, Yuantong ^b  

^a SHAOGUAN UNIVERSITY   (China)

^b SUN YAT SEN UNIVERSITY   (China)

Author keywords

Cone; Delay differential equation; Fixed point; Nonlocal boundary value problem; Positive solution

Indexed keywords

EID: 34250679031     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.12.062     Document Type: Article

References (19)

1. Moshinsky M. Sobre los problemas de condiciones a la frontiera en una dimension de caracteristicas discontinuas. Bol. Soc. Mat. Mexicana (3) 7 (1950) 1-25
2. Timoshenko T. Theory of Elastic Theory (1971), McGraw-Hill, New York
3. Il'in V., and Moiseev E. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. J. Differential Equations 23 (1987) 803-810
4. Gupta C. Solvability of a three-point nonlinear boundary value problem for a second-order ordinary differential equation. J. Math. Anal. Appl. 168 (1992) 540-551
5. Gupta C., Ntouyas S., and Tsamatos P. Solvability of an m-point boundary value problem for second order ordinary differential equations. J. Math. Anal. Appl. 189 (1995) 575-584
6. Feng W., and Webb J. Solvability of an m-point boundary value problems with nonlinear growth. J. Math. Anal. Appl. 212 (1997) 467-480
7. Ma R. Positive solutions for second-order three-point boundary-value problems. Appl. Math. Lett. 14 (2001) 1-5
8. Ma R. Existence of positive solutions for superlinear semipositone m-point boundary-value problems. Proc. Edinb. Math. Soc. 46 (2003) 279-292
9. Erbe L., and Kong Q. Boundary value problems for singular second-order functional differential equations. J. Comput. Appl. Math. 53 (1994) 377-388
10. Bai D., and Xu Y. Existence of positive solutions for boundary value problems of second-order delay differential equations. Appl. Math. Lett. 18 (2005) 621-630
11. Bai D., and Xu Y. Positive solutions of second-order two-delay differential systems with twin-parameter. Nonlinear Anal. 63 (2005) 601-617
12. D. Bai, Y. Xu, Positive solutions and eigenvalue regions of two-delay singular systems with twin-parameter, Nonlinear Anal., in press
13. Jiang D., and Wang J. On boundary value problems for singular second-order functional differential equations. J. Comput. Appl. Math. 116 (2000) 231-241
14. Jiang D. Multiple positive solutions for boundary value problems of second-order delay differential equations. Appl. Math. Lett. 15 (2002) 575-583
15. Ma R. Positive solutions for a nonlinear three-point boundary value problem. Electron. J. Differential Equations 34 (1999) 1-8
16. Guo D., and Lakshmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, Orlando, FL
17. Krasnoselskii M. Positive Solutions of Operator Equations (1964), Noordhoff, Groningen
18. Deimling K. Nonlinear Functional Analysis (1985), Springer, Berlin
19. Wang H. On the number of positive solutions of nonlinear systems. J. Math. Anal. Appl. 281 (2003) 287-306