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On boundary value problems in three-ion electrodiffusion |
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| Authors: | P Amster C Rogers |
| Institution: | a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina b Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina c School of Mathematics, University of New South Wales, Sydney, Australia d Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, Australia |
| Abstract: | The existence of solutions to a class of two-point boundary value problems in three-ion electrodiffusion is investigated via an integro-differential formulation. Boundedness by upper and lower solutions corresponding to associated boundary value problems is considered and illustrated by Painlevé II solutions of a constrained version of the original boundary value problems. |
| Keywords: | Three-ion electrodiffusion Nonlinear boundary value problems Third order ODE's Topological methods |
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