Unbounded solutions of the singular boundary value problems for second order differential equations on the half-line

Applied Mathematics and Computation

Volumn 147, Issue 3, 2004, Pages 629-644

  Yan, Baoqiang ^a   Liu, Yansheng ^a  

^a SHANDONG NORMAL UNIVERSITY   (China)

Author keywords

Boundary value problems; Fixed point index; Unbounded solutions

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

FIXED POINT INDEX;

BOUNDARY VALUE PROBLEMS;

EID: 0141920802     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00801-9     Document Type: Article

References (24)

1. Chen S., Zhang Y. Singular boundary value problems on a half-line. J. Math. Anal. Appl. 195:1995;449-468.
2. n Funkcialaj Ekvaciaj. 36:1993;557-579.
3. Junyu T. The radial solutions of 2-order semilinear elliptic equations. Acta Math. Appl. Sinica. 19(1):1996;57-64.
4. O'Regan D. Theory of Singular Boundary Value Problems. 1994;World Scientific, Singapore.
5. Baxley J.V. Existence and uniqueness for nonlinear boundary value problems on infinite intervals. J. Math. Anal. Appl. 147:1990;127-133.
6. Guo D., Liu X.Z. Impulsive Integra-differential equations on unbounded domain in a Banach space. Nonlinear Studies. 3(1):1996;49-57.
7. Guo D. Boundary value problems for impulsive integro-differential equation on unbounded domains in a Banach Space. Appl. Math. Comput. 99:1999;1-15.
8. Liu X. Some existence and nonexistence principles for a class of singular boundary value problems. Nonlinear Anal. 27(10):1996;1147-1164.
9. Dajun G., Lakshmikantham V. Nonlinear Problems in Abstract Cones. 1988;Acdemic Press, New York.
10. Corduneanu C. Integral Equations and Stability of Feedback Systems. 1973;Academic Press, New York.
11. Meehan M., O'Regan D. Existence theory for nonlinear Fredholm and Volterra integral equations on half-open intervals. Nonlinear Anal. 35:1999;355-387.
12. Agarwal R.P., O'Regan D. Twin solutions to singular Dirichlet problems. J. Math. Anal. Appl. 240:1999;433-445.
13. Kelevedjiev P. Nonnegative solutions to some singular second-order boundary value problems. Nonlinear Anal. 36:1999;481-494.
14. Bobisud L.E. Existence of solutions for nonlinear singular boundary value problems. Appl. Anal. 35:1990;43-57.
15. Bosbisud L.E., O'Regan D., Royalty W.D. Solvability of some nonlinear boundary value problems. Nonlinear Anal. 12:1988;855-869.
16. O'Regan D. Existence Theory for Ordinary Differential Equations. 1997;Kluwer, Dordrecht.
17. Agarwal R.P., O'Regan D. Singular boundary value problems for suplinear second order ordinary and delay differential equations. J. Diff. Eqs. 130:1996;333-355.
18. Erbe L.H., Hu S.C., Wang H.Y. Multiple positive solutions of some boundary value problems. J. Math. Anal. Appl. 184:1994;640-648.
19. Guo Z.M. On the number of positive solutions for quasilinear elliptic eigenvalue problems. Nonlinear Anal. 27:1996;229-247.
20. Kisik H., Lee Y.H. Existence of multiple positive solutions of singular boundary value problems. Nonlinear Anal. 28:1997;1429-1438.
21. Liu Z.L., Li F.Y. Multiple positive solutions of nonlinear two-boundary value problem. J. Math. Anal. Appl. 203:1996;610-625.
22. Ubilla R. Multiplicity results for the 1-dimensional generalized. p -Laplacian J. Math. Anal. Appl. 190:1995;611-623.
23. Wang J.Y., Gao W.J. A singular boundary value problem for the one-dimensional. p -Laplacian J. Math. Anal. Appl. 201:1996;851-866.
24. Gao D. Fixed point of mixed monotone operators and applications. Appl. Anal. 31:1988;215-224.