一阶变系数线性微分方程系统的Hyers-Ulam稳定性
Hyers-Ulam Stability of a System of First-Order Linear Differential Equations with Variable Coefficients
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摘要: 通过基解矩阵的指数二分性证明了一阶变系数微分方程的Hyers-Ulam稳定性,推广了已有结论.Abstract: S. M. Jung investigated the Hyers-Ulam stability of a system of first order linear differential equations with constant coefficients by discussing the eigenvalues of matrix. Using the exponential dichotomy of fundamental solution matrix, this paper proves the Hyers-Ulam stability of first-order differential equations with variable coefficients and generalizes the previous conclusions.
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