Dirichlet and periodic-type boundary value problems for Painlevé II

It is established that, under certain conditions, the Dirichlet problem on a bounded interval for the Painlevé II equation is uniquely solvable and solutions are constructed in an iterative manner. Moreover, conditions for the existence of periodic solutions are set down. © 2002 Elsevier Science.

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Detalles Bibliográficos
Autores principales: Mariani, M.C., Amster, P., Rogers, C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v265_n1_p1_Mariani
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Sumario:It is established that, under certain conditions, the Dirichlet problem on a bounded interval for the Painlevé II equation is uniquely solvable and solutions are constructed in an iterative manner. Moreover, conditions for the existence of periodic solutions are set down. © 2002 Elsevier Science.