On bounded solutions for second order linear differential equations with negative stiffness
经典分析与常微分方程
2007-05-23 v1 动力系统
摘要
Second order linear non-autonomous differential equations with negative stiffness are considered. Using Chetaev-like (Lyapunov-like) functions, necessary (sufficient) conditions are found for the solutions to be bounded for all initial conditions if any one of the coefficients is constant. Conclusions are then extended to include systems where both coefficients are time-varying.
引用
@article{arxiv.math/0511222,
title = {On bounded solutions for second order linear differential equations with negative stiffness},
author = {C. A. Terrero-Escalante},
journal= {arXiv preprint arXiv:math/0511222},
year = {2007}
}
备注
6 pages