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

被引：0

作者：

Kogelbauer, Florian ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

MONATSHEFTE FUR MATHEMATIK | 2014年 / 173卷 / 04期

关键词：

Hamiltonian system; Discontinuity; Uniqueness; IMPLICIT FUNCTION THEOREM; DIFFERENTIAL-EQUATIONS; STOKES WAVES; TRAJECTORIES;

D O I：

10.1007/s00605-013-0527-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：529 / 539

页数：11

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