Hostname: page-component-7dd5485656-j7khd Total loading time: 0 Render date: 2025-10-31T18:36:28.884Z Has data issue: false hasContentIssue false
  • English
  • Français

Continuous and discrete boundary value problems on the infinite interval: existence theory

Part of: Boundary value problems

Published online by Cambridge University Press:  26 February 2010

Ravi P. Agarwal  and
Donal O'regan
Ravi P. Agarwal
Affiliation:
Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260.
Donal O'regan
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland.
Get access

Abstract

This paper presents existence criteria for continuous and discrete boundary value problems on the infinite interval, using the notion of upper and lower solution.

MSC classification

Secondary: 34B15: Nonlinear boundary value problems

Information

Type
Research Article
Information
Mathematika , Volume 48 , Issue 1-2 , December 2001 , pp. 273 - 292
Copyright
Copyright © University College London 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1.Agarwal, R. P. and O'Regan, D.. Boundary value problems for discrete equations. Applied Math. Lett., 10(4) (1997), 83–89.CrossRefGoogle Scholar
2.Agarwal, R. P. and O'Regan, D.. Discrete systems on infinite interval. Computers Math. Applic., 37(9) (1998), 97–105.CrossRefGoogle Scholar
3.Baxley, J.. Existence and uniqueness for nonlinear boundary value problems on infinite intervals. J. Math. Anal. Appi., 147 (1990), 122–133.CrossRefGoogle Scholar
4.Bebernes, J. W. and Jackson, L. K.. Infinite interval boundary value problems for y n = f(x, y). Duke Math. J., 34 (1967), 39–47.CrossRefGoogle Scholar
5.Chan, C. Y. and Hon, Y. C.. Computational methods for generalised Emden-Fowler models of neutral atoms. Quart. Appl. Math., 46 (1988), 711–726.CrossRefGoogle Scholar
6.Granas, A.Guenther, R. B.Lee, J. W. and O'Regan, D.. Boundary value problems on infinite intervals and semiconductor devices. J. Math. Anal. Appl., 116 (1986), 335–348.CrossRefGoogle Scholar
7.Jackson, L. K.. Subfunctions and second order ordinary differential inequalities. Advances Math., 2 (1968), 307–363.CrossRefGoogle Scholar
8.Okrasinski, W.. On a nonlinear ordinary differential equation. Ann. Polon. Math., 49 (1989), 237–245.CrossRefGoogle Scholar
9.O'Regan, D.. Theory of Singular Boundary Value Problems. World Scientific (Singapore, 1994).CrossRefGoogle Scholar
10.O'Regan, D.. Positive solutions for a class of boundary value problems on infinite intervals. Nonlinear Differential Equations Appl., 1 (1994), 203–228.CrossRefGoogle Scholar
11.Schmitt, K. and Thompson, R.. Boundary value problems for infinite systems of second order differential equations. J. Differential Equations, 18 (1975), 277–295.CrossRefGoogle Scholar
12.Soewona, E.Vajravelu, K. and Mohapatra, R. N.. Existence of solutions of a nonlinear boundary value arising in the flow and heat transfer over a stretching sheet. Nonlinear Anal., 18 (1992), 93–98.CrossRefGoogle Scholar