Guided Dynamical Systems and Applications to Functional and Partial Differential Equations

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In this thesis we introduce the concept of a guided dynamical system, and exploit this idea to solve various problems in functional equations and PDE's. Our main results are 1) a necessary and sufficient condition for unique-solvability of an initial value functional equation, 2) a proof of the overdeterminedness of a large class of functional equations and 3) a necessary and sufficient condition for unique-solvability of a boundary value problem for a third order, hyperbolic PDE.
M.Sc. Thesis (Technion, IIT), 60 Pages, under the supervision of Prof. Boris Paneah; acknowledgements corrected

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Dynamical Systems, Classical Analysis and ODEs, 37B99 (Primary) 39B22, 39B52, 35L35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/105089

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511638
 http://arxiv.org/abs/math/0511638

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arXiv