Boundary value problems arising in the percolation of water from a cylindrical reservoir into the surrounding soil

Radu Precup
not-at-ICTP

Abstract


Existence results are established for a general class of second-order boundary value problems motivated from a problem arising in the percolation of water from a cylindrical reservoir into the surrounding soil.

Authors

Ravi P. Agarwal
Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, Florida 32901–6975, USA

Donal O’Regan
Department of Mathematics, National University of Ireland, Galway, Ireland.

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Boundary value problem; Percolation of water; Nonlinear alternative of Leray–Schauder; Existence

Paper coordinates

R.P. Agarwal, D. O’Regan, R. Precup, Boundary value problems arising in the percolation of water from a cylindrical reservoir into the surrounding soil, Nonlinear Analysis: Real World Applications 6 (2005), 123-131, https://doi.org/10.1016/j.nonrwa.2004.02.004

PDF

(requires subscription) https://doi.org/10.1016/j.nonrwa.2004.02.004

About this paper

Journal

Nonlinear Analysis: Real World Applications

Publisher Name

Elsevier

DOI

https://doi.org/10.1016/j.nonrwa.2004.02.004

Print ISSN
Online ISSN

1468-1218

google scholar link

[1] J. Goncerzewicz, H. Marcinkowska, W. Okrasinski, K. Tabisz, On the percolation of water from a cylindrical reservoir into the surrounding soil Zastosow Mat., 16 (1978), pp. 246-261 Google Scholar
[2] D. O’Regan, Existence theory for the equations  (G′(y))′=qf(t,y,y′) and  (G′(y)–pH(y))]=–p′H(y)+qf(t,y) J. Math. Anal. Appl., 183 (1994), pp. 263-284 Google Scholar

[3] D. O’Regan, Boundary value problems on noncompact intervals, Proc. Edinburgh Math. Soc., 125A (1995), pp. 777-799, View Record in ScopusGoogle Scholar
2005

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