On the Cauchy problem for planar autonomous Hamiltonian Systems with a discontinuous right-hand side

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作者
Florian Kogelbauer
机构
[1] Faculty of Mathematics,
[2] University of Vienna,undefined
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关键词
Hamiltonian system; Discontinuity; Uniqueness; 34A12; 34A36;
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摘要
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.
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页码:529 / 539
页数:10
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