时间尺度上二阶线性动力学方程的一般解与Ulam稳定性

The General Solution and Ulam Stability of Second Order Linear Dynamic Equations on Time Scales

中文关键词:  Ulam稳定性  二阶线性动力学方程  时间尺度

英文关键词:Ulam stability  second order linear dynamic equations  time scales

中文摘要:

      本文利用参数变易法研究了时间尺度上二阶变系数线性动力学方程的解与Ulam稳定性问题. 特别地,在不同的系数情形下建立了二阶常系数线性动力学方程的Ulam稳定性理论.

英文摘要:

      By using the variation of parameters, this paper deals with the general solution and Ulam stability of second order linear dynamic equations with variable coefficients on time scales. In particular, we also obtain the Ulam stability of second order linear dynamic equations with constant coefficients under different cases.