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On the Cauchy problem for planar autonomous Hamiltonian Systems with a discontinuous right-hand side
Authors:Florian Kogelbauer
Institution:1. Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090, Vienna, Austria
Abstract:Using the implicit function theorem for non-differentiable functions and structural properties of the dynamical system, we prove a local existence and uniqueness result for a class of planar autonomous Hamiltonian systems with discontinuous right-hand sides.
Keywords:
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