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Abstract:

Two types of boundary value problem on the infinite half-line I = [0, + ∞] are investigated for a class of generalised Painlevé II equations. Existence results are obtained via the method of upper and lower solutions together with a diagonal argument. © 2008 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:Boundary value problems on the half-line for a generalised Painlevé II equation
Autor:Amster, P.; Vicchi, L.; Rogers, C.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong
School of Mathematics, University of New South Wales, Australia
Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, Australia
Palabras clave:Boundary values; Existence results; Half lines; Method of upper and lower solutions; Painleve; Ordinary differential equations
Año:2009
Volumen:71
Número:1-2
Página de inicio:149
Página de fin:154
DOI: http://dx.doi.org/10.1016/j.na.2008.10.036
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v71_n1-2_p149_Amster

Referencias:

  • Hastings, S.P., McLeod, J.B., A boundary value problem associated with the second Painlevé transcendent and the Korteweg-de Vries equation (1980) Arch. Ration. Mech. Anal., 73, pp. 31-51
  • De Boer, P.C.T., Ludford, G.S.S., Spherical electric probe in a continuum gas (1975) Plasma Phys., 17, pp. 29-43
  • Holmes, P., Spence, D., On a Painlevé-type boundary value problem (1984) Q. J. Mech. Appl. Math., 37, pp. 525-538
  • Heiffer, B., Weissler, F.B., On a family of solutions of the second Painlevé equation related to superconductivity (1998) Eur. J. Appl. Math., 9, pp. 223-243
  • Bass, L., Electrical structures of interfaces in steady electrolysis (1964) Trans. Faraday Soc., 60, pp. 1656-1663
  • Bass, L., Irreversible interactions between metals and electrolytes (1964) Proc. Roy. Soc. London, 277 (A), pp. 125-136
  • Leuchtag, H.R., A family of differential equations arising from multi-ion electrodiffusion (1981) J. Math. Phys., 22, pp. 1317-1320
  • Conte, R., Rogers, C., Schief, W.K., Painlevé structure of a multi-ion electrodiffusion system (2007) J. Phys. A, 40. , F1031-F1040
  • Rogers, C., Bassom, A.P., Schief, W.K., On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation (1999) J. Math. Anal. Appl., 240, pp. 367-381
  • Mariani, M.C., Amster, P., Rogers, C., Dirichlet and periodic-type boundary value problems for Painlevé II (2002) J. Math. Anal. Appl., 265, pp. 1-11
  • de Coster, C., Habets, P., Two-point boundary value problems: lower and upper solutions (2006) Mathematics in Science and Engineering, , Elsevier
  • Amster, P., Mariani, M.C., Rogers, C., Tisdell, C.C., On two-point boundary value problems in multi-ion electrodiffusion (2004) J. Math. Anal. Appl., 289, pp. 712-721
  • Amster, P., Rogers, C., On boundary value problems in three-ion electrodiffusion (2007) J. Math. Anal. Appl., 333, pp. 42-51
  • Nagumo, M., Uber die differentialgleichung y″ = f (t, y, y′) (1937) Proc. Phys.-Math. Soc. Japan, 19, pp. 861-866

Citas:

---------- APA ----------
Amster, P., Vicchi, L. & Rogers, C. (2009) . Boundary value problems on the half-line for a generalised Painlevé II equation. Nonlinear Analysis, Theory, Methods and Applications, 71(1-2), 149-154.
http://dx.doi.org/10.1016/j.na.2008.10.036
---------- CHICAGO ----------
Amster, P., Vicchi, L., Rogers, C. "Boundary value problems on the half-line for a generalised Painlevé II equation" . Nonlinear Analysis, Theory, Methods and Applications 71, no. 1-2 (2009) : 149-154.
http://dx.doi.org/10.1016/j.na.2008.10.036
---------- MLA ----------
Amster, P., Vicchi, L., Rogers, C. "Boundary value problems on the half-line for a generalised Painlevé II equation" . Nonlinear Analysis, Theory, Methods and Applications, vol. 71, no. 1-2, 2009, pp. 149-154.
http://dx.doi.org/10.1016/j.na.2008.10.036
---------- VANCOUVER ----------
Amster, P., Vicchi, L., Rogers, C. Boundary value problems on the half-line for a generalised Painlevé II equation. Nonlinear Anal Theory Methods Appl. 2009;71(1-2):149-154.
http://dx.doi.org/10.1016/j.na.2008.10.036