Positive solution for singular boundary value problems

Computers and Mathematics with Applications

Volumn 32, Issue 9, 1996, Pages 41-49

  Wong, Fu Hsiang ^a   Lian, Wei Cheng ^b  

^a National Taipei Teacher's College   (Taiwan)

^b NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

Boundary value problems; Locally Lipschitz continuous; Positive solution

Indexed keywords

DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0030287114     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(96)00175-7     Document Type: Article

References (23)

1. R.P. Agarwal and D. O'Regan, Singular boundary value problems for superlinear second order ordinary and delay differential equations, J. Diff. Equs. (to appear).
2. C. Bandle, C.V. Coffman and M. Marcus, Nonlinear elliptic problems in annular domains, J. Differential Equations 69, 322-345 (1987).
3. C.V. Coffman and M. Marcus, Existence and uniqueness results for semilinear Dirichlet problems in Annuli, Arch. Rational Mech. Anal. 108, 293-307 (1989).
4. H. Dang and K. Schmit, Existence of positive solutions for semiliear elliptic equations in annular domain, Diff. and Integ. Equs. 7, 747-758 (1994).
5. L.H. Erbe, Boundary value problems for ordinary differential equations, Rocky Mountain J. Math. 1, 709-729 (1970).
6. L.H. Erbe, S. Hu and H. Wang, Multiple positive solutions of some boundary value problems, J. Math. Anal. Appl. 184, 640-648 (1994).
7. X. Garaizar, Existence of positive radial solutions for semiliear elliptic equations in the annulus, J. Differential Equations 70, 69-72 (1987).
8. A. Granas, R.B. Guenther and J.W. Lee, Nonlinear boundary value problems for some classes of ordinary differential equations, Rocky Mountain Jour. Math. 10, 35-58 (1980).
9. D. Guo and V. Lakshmikantham, Multiple solutions of two-point boundary value problems for ordinary differential equations in Banach spaces, J. Math. Anal. Appl. 129, 211-222 (1988).
10. C.P. Gupta, A note on a second order three-point boundary value problem, J. Math. Anal. Appl. 186, 277-281 (1994).
11. G. Iffland, Positive solutions of a problem of Emden-Fowler type with a free boundary, SIAM J. Math. Anal. 18, 283-292 (1987).
12. J.W. Lee and D. O'Regan, Nonlinear boundary value problems in Hilbert spaces, J. Math. Anal. Appl. 137, 59-69 (1989).
13. J. Santanilla, Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary differential equations, J. Math. Anal. Appl. 126, 397-408 (1987).
14. A. Tineo, A comparison theorem for second order ODEs and application to singular problems, Jour. Diff. Equs. 116, 16-30 (1995).
15. F.H. Wong, Existence of positive solutions of singular boundary value problems, Nonlinear Analysis T. M. & A. 21, 397-406 (1993).
16. F.H. Wong and S.L. Yu, Uniqueness of positive solutions for singular nonlinear boundary value problems, Hiroshima Mathematical Journal (in press) 26 (1996).
17. S.D. Taliaferro, A nonlinear singular boundary value problem, Nonlinear Analysis T. M. & A. 3, 897-904 (1979).
18. H. Usami, On a singular elliptic boundary value problem in a ball, Nonlinear Analysis T. M. & A. 13, 1163-1170 (1989).
19. R.P. Agarwal and J. Henderson, Superlinear and sublinear focal boundary value problems, Applicable Analysis (to appear).
20. R.P. Agarwal, Q. Sheng and P.J.Y. Wong, Abel-Gontscharoff boundary value problems, Mathl. Comput. Modelling 17 (7), 37-55 (1993).
21. R.P. Agarwal and P.J.Y. Wong, Existence of solutions for singular boundary value problems for higher order differential equations, Rendiconti del Seminario Mathematico e Fisico di Milano (to appear).
22. P.J.Y. Wong and R.P. Agarwal, Eigenvalues of boundary value problems for higher order differential equations, Mathematical Problems in Engineering (to appear).
23. W.C. Lian and F.H. Wong, Uniqueness of positive solutions for quasilinear boundary value problem, Appl. Math. Lett. (to appear).