On a Neumann boundary value problem for the Painlevé II equation in two-ion electro-diffusion

DOI10.1016/j.na.2010.06.063zbMath1218.34018OpenAlexW1981755583MaRDI QIDQ531685

Pablo Amster, Man Kam Kwong, Colin Rogers

Publication date: 19 April 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11336/14889

zbMATH Keywords

Painlevé equationNeumann boundary value problemdegree theoryshooting method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (10)

A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions ⋮ On a theorem by Browder and its application to nonlinear boundary value problems ⋮ A nonlinear problem depending on the unknown Dirichlet values of the solution ⋮ Series solution of Painlevé II in electrodiffusion: conjectured convergence ⋮ Solvability for a fractional order three-point boundary value system at resonance ⋮ On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem ⋮ A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions ⋮ Differential Equations of Electrodiffusion: Constant Field Solutions, Uniqueness, and New Formulas of Goldman--Hodgkin--Katz Type ⋮ Solutions of Painlevé II on Real Intervals: Novel Approximating Sequences ⋮ On Dirichlet two-point boundary value problems for the Ermakov-Painlevé IV equation

Cites Work

• Existence for two-point boundary value problems in two ion electrodiffusion
• On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation
• Painlevé structure of a multi-ion electrodiffusion system
• Dirichlet and periodic-type boundary value problems for Painlevé II
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