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Dirichlet boundary value problem for an impulsive forced pendulum equation with viscous and dry frictions
Applications of Mathematics ( IF 0.7 ) Pub Date : 2020-10-21 , DOI: 10.21136/am.2020.0232-19
Martina Pavlačková , Pavel Ženčák

Sufficient conditions are given for the solvability of an impulsive Dirichlet boundary value problem to forced nonlinear differential equations involving the combination of viscous and dry frictions. Apart from the solvability, also the explicit estimates of solutions and their derivatives are obtained. As an application, an illustrative example is given, and the corresponding numerical solution is obtained by applying Matlab software.

中文翻译:

具有粘性和干摩擦的脉冲强迫摆方程的狄利克雷边值问题

给出了足够的条件来求解脉冲狄利克雷边界值问题到包含粘性摩擦和干摩擦组合的强迫非线性微分方程。除了可解性之外,还获得了解及其导数的显式估计。作为应用,给出了一个说明性例子,应用Matlab软件得到了相应的数值解。
更新日期:2020-10-21
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