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Non-linear boundary value problems on the semi-infinite interval: an upper and lower solution approach

Part of: Geometry of numbers

Published online by Cambridge University Press:  26 February 2010

Ravi P. Agarwal  and
Donal O'Regan
Ravi P. Agarwal
Affiliation:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FI 32901-6975, U.S.A.
Donal O'Regan
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland.
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Abstract

Existence criteria are presented for non-linear boundary value problems on the half line. In particular, the theory includes a problem in the theory of colloids and a problem arising in the unsteady flow of a gas through a semi-infinite porous medium.

MSC classification

Secondary: 11H31: Lattice packing and covering
Type
Research Article
Information
Mathematika , Volume 49 , Issue 1-2 , June 2002 , pp. 129 - 140
Copyright
Copyright © University College London 2002

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References

1.Agarwal, R. P. and O'Regan, D.. Infinite Interval Problems for Differential, Difference and Integral Equations (Kluwer Academic Publishers, Dordrecht, 2001).CrossRefGoogle Scholar
2.Agarwal, R. P. and O'Regan, D.. Boundary value problems on the half line modelling phenomena in the theory of colloids. Mathematical Problems in Engineering, 8 (2002). 143–150.CrossRefGoogle Scholar
3.Agarwal, R. P. and O'Regan, D.. Continuous and discrete boundary value problems on the infinite interval: existence theory, Mathematika 48 (2001), 273–292.CrossRefGoogle Scholar
4.Agarwal, R. P. and O'Regan, D.. Infinite interval problems modelling phenomena which arise in the theory of plasma and electrical potential theory. Studies in Appl. Math. 111 (2003). 339–358.CrossRefGoogle Scholar
5.Alexander, A. E. and Johnson, P.. Colloid Science, bf Vol 1, pp. 100–120, (Oxford at the Clarendon Press, London, 1949).Google Scholar
6.Baxley, J. V.. Existence and uniqueness for nonlinear boundary value problems on infinite intervals. J. Math. Anal. Appl., 147 (1990), 122–133.CrossRefGoogle Scholar
7.Bebernes, J. W. and Jackson, L. K.. Infinite interval boundary value problems for yn = f(x, y). Duke Math. J., 34 (1967), 39–17.CrossRefGoogle Scholar
8.Countryman, M. and Kannan, R.. A class of nonlinear boundary value problems on the half line. Computers Math. Applic., 28 (1994), 121–130.CrossRefGoogle Scholar
9.Erbe, L. and Schmitt, K.. On radial solutions of some semilinear elliptic equations. Differential and Integral Equations, 1 (1988), 71–78.CrossRefGoogle Scholar
10.Jackson, L. K.. Subfunctions and second order ordinary differential inequalities. Advances in Math., 2 (1968), 307–363.CrossRefGoogle Scholar
11.Kidder, R. E., Unsteady flow of gas through a semi-infinite porous medium, J. Appl. Mech., 27 (1957), 329–332.CrossRefGoogle Scholar
12.Na, T. Y., Computational methods in engineering boundary value problems (Academic Press, New York, 1979).Google Scholar
13.O'Regan, D.. Theory of Singular Boundary Value Problems (World Scientific, Singapore. 1994).CrossRefGoogle Scholar