Uniqueness implies existence for (n, p) boundary value problems

Applicable Analysis

Volumn 73, Issue 3-4, 1999, Pages 543-556

  Chyan, Chuan Jen ^a   Henderson, Johnny ^a  

^a TAMKANG UNIVERSITY   (Taiwan)

Author keywords

34B15; Boundary value problem; Existence; Shooting method; Uniqueness

Indexed keywords

EID: 0041823935     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819908840796     Document Type: Article

References (11)

1. Agarwal R.P., Boundary Value Problems for Higher Order Differential Equations World Scientific Singapore 1986
2. Agarwal, R.P., 1997. Compactness condition for boundary value problems, Proceedings of Equadiff 9 CD ROM,(Brno), 1–23. Masaryk University.
3. Davis, J., and Henderson, J., 1998. Uniquness inplies existence for fourth-order Lidston boundary value problems. Pan American Mathematics Journal, 8: 23–35.
4. Hartman, P., 1971. On n-parameter families and interpolation problems for nonlinear ordinary differential equations. Transactions of the American Mathematical Society, 154: 201–226.
5. Henderson, J., 1981. Existence of solutions of right focal point boundary value problems for ordinary differential equations. Nonlinear Analysis, 5: 989–1002.
6. Hurewicz, W., and Wallman, H., 1948. “ Dimension Theory ”. Princeton, NJ: Princeton University Press.
7. Jackson, L., 1980. “ Boundary value problems for Lipschitz equations ”. In Differential Equations, New York: Academic Press.
8. Klaasen, G., 1973. Existence theorems for boundary value problems for nth order ordinary differential equations,. Rocky Mountain Journal of Mathematics, 3: 457–472.
9. Lasota, A., and Luczński, M., 1968. A note on uniqueness of two point boundary value problems. 12: 27–29. Zeszyty Naukowe UJ, Prace Matematyezne
10. Peterson, A., 1981. Existence-uniqueness for focal-point boundary value problem. SIAM Journal on Mathematical Analysis, 12: 173–185.
11. Schrader, K., 1985. Uniqueness implies existence for solutions of nonlinear boundary value problem. Abstracts of the American Mathematical Society, 6: 235