In this paper, a Liénard-type differential equation with piecewise constant argument of generalized type is proposed. Existence and uniqueness of the solutions are investigated. Uniform asymptotic stability of the trivial solution is examined by the Lyapunov–Krasovskii method. The obtained theoretic results are exemplified and supported by a simulation.

中文翻译：

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具有分段恒定时滞的Liénard型微分方程的定性行为

本文提出了具有分段常数的广义广义Liénard型微分方程。研究了解决方案的存在性和唯一性。平凡解的均匀渐近稳定性通过Lyapunov–Krasovskii方法进行了检验。所获得的理论结果通过仿真得到例证和支持。