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The matching procedure is a constructive way of using the isomonodromy deformation method, to obtain the critical behavior of Painleve' VI transcendents and solve the connection problem. This procedure yields two and one parameter families of solutions, including trigonometric and logarithmic behaviors, and three classes of solutions with Taylor expansion at a critical point.

Matching procedure for the sixth Painleve' equation / Guzzetti, Davide. - B2:(2007), pp. 4.29-4.44. (Intervento presentato al convegno Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painlevé hierarchies tenutosi a RIMS, Kyoto University, Japan nel Maggio 2006).

Matching procedure for the sixth Painleve' equation

Guzzetti, Davide
2007-01-01

Abstract

The matching procedure is a constructive way of using the isomonodromy deformation method, to obtain the critical behavior of Painleve' VI transcendents and solve the connection problem. This procedure yields two and one parameter families of solutions, including trigonometric and logarithmic behaviors, and three classes of solutions with Taylor expansion at a critical point.
2007
Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painlevé hierarchies
B2
29
44
http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu/open/B2/pdf/B2-4.pdf
RIMS Kokyuroku, Kyoto University
Guzzetti, Davide
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15263
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