EXACT AND DISCRETIZED DISSIPATIVITY OF THE PANTOGRAPH EQUATION

• 来源期刊: 计算数学（英文版）
• 关键词: Infinite delay Pantograph equation Backward Euler method Dissipativity.
• 年，卷（期）: 2007,（1）
• 页码范围: 81-88
• 页数: 8页
• 语种: 英文

摘要

The analytic and discretized dissipativity of nonlinear infinite-delay systems of the form x′(t) = g(x(t),x(qt))(q∈(0, 1), t ＞ 0) is investigated. A sufficient condition is presented to ensure that the above nonlinear system is dissipative. It is proved the backward Euler method inherits the dissipativity of the underlying system. Numerical examples are given to confirm the theoretical results.