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Dirichlet and Periodic-Type Boundary Value Problems for Painlevé II

✍ Scribed by M.C. Mariani; P. Amster; C. Rogers

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
92 KB
Volume
265
Category
Article
ISSN
0022-247X

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✦ Synopsis

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

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✍ L. V. Wolfersdorf 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 390 KB

In the author's paper [7] methods of monotone operator theory are applied to some cl-s of nonlinear boundary value problems for firat order elliptic syatema in the plane. Completing thew investigations, in this paper we deal with some simple limit c88e8 of such problems for holomorphic functions. Us