Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-24T07:05:00.867Z Has data issue: false hasContentIssue false
  • English
  • Français

Solvability of Some Singular Boundary Value Problems on the Semi-Infinite Interval

Published online by Cambridge University Press:  20 November 2018

Donal O'Regan
Donal O'Regan*
Affiliation:
Department of Mathematics University College Galway Galway Ireland
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Existence of solutions to the nonlinear boundary value problem on the semi-infinite interval bounded on [0, ∞), are established. In the process we obtain new existence results for boundary value problems on compact intervals.

Keywords

34B15
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 1 , 01 February 1996 , pp. 143 - 158
Copyright
Copyright © Canadian Mathematical Society 1997

References

1. Baxley, J.V., Existence and uniqueness for nonlinear boundary value problems on infinite intervals, J. Math. Anal. Appl. 147(1990), 122–133.Google Scholar
2. Berbernes, J.W. and Jackson, L.K., Infinite interval boundary value problems for y” = f(t,y), Duke Math. J. 34(1967), 39–47.Google Scholar
3. Bobisud, L.E., Existence of solutions for nonlinear singular boundary value problems, Applicable Anal. 35(1990), 43–57.Google Scholar
4. Chan, C.Y. and Hon, Y.C., Computational methods for generalized Emden-Fowler models of neutral atoms, Quart. Appl. Math. 46(1988), 711–726.Google Scholar
5. Dunninger, D.R. and Kurtz, J.C., Existence of solutions for some nonlinear singular boundary value problems, J. Math. Anal. Appl. 115(1986), 396–405.Google Scholar
6. Furi, M. and Pera, P., A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals, Ann. Polon. Math. 47(1987), 331—346.Google Scholar
7. Granas, A., Guenther, R.B., Lee, J.W. and D. O'Regan, Boundary value problems on infinite intervals and semiconductor devices, J. Math. Anal. Appl. 116(1986), 335–348.Google Scholar
8. O'Farrell, A.G. and O'Regan, D., Existence results for initial and boundary value problems, Proc. Amer. Math. Soc. 110(1990), 661–673.Google Scholar
9. O'Regan, D., Solvability of some second and higher order boundary value problems, Nonlinear Anal. 16(1991), 507–516.Google Scholar
10. O'Regan, D., Some existence principles and some general results for singular nonlinear two point boundary values problems, J. Math. Anal. Appl. 166(1992), 24–40.Google Scholar
11. O'Regan, D., Singular boundary value problems on the semi-infinite interval, Libertas Math. 12(1992), 109–119.Google Scholar
12. Przeradzki, B., On the solvability of singular BW'sfor second order differential equations, Ann. Polon. Math. 50(1990), 279–289.Google Scholar
13. Rodrigues, A. and Tineo, A., Existence results for the Dirichlet problem with growth restrictions, J. Math. Anal. Appl. 135(1988), 1–7.Google Scholar
14. Schmitt, K. and Thompson, R., Boundary value problems for infinite systems of second order differential equations, J. Differential Equations 18(1975), 277–295.Google Scholar