<p>This work extends Ortega’s stability theory to a class of relativistic Rayleigh equations, providing sufficient conditions for the stability of their periodic solutions. The established result is then applied to a relativistic MEMS model, yielding necessary and sufficient conditions for the coexistence of asymptotically stable and unstable periodic solutions in such systems.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Stability Criterion for Periodic Solutions of Relativistic Rayleigh Equations

  • Yannan Qiu,
  • Haoyang Shen,
  • Yiwen Tang,
  • Xingchen Yu

摘要

This work extends Ortega’s stability theory to a class of relativistic Rayleigh equations, providing sufficient conditions for the stability of their periodic solutions. The established result is then applied to a relativistic MEMS model, yielding necessary and sufficient conditions for the coexistence of asymptotically stable and unstable periodic solutions in such systems.