We consider the problem of recovery of unknown right-hand sides of the first-order linear systems of ordinary differential equations with periodic coefficients from indirect observations of their solutions on a finite system of points and intervals. Under the assumption that right-hand sides and deterministic errors in observations are subjected to some quadratic restrictions, we obtain a posteriori estimates of right-hand sides which are compatible with observations data.

中文翻译：

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保证对 ODE 线性周期系统的未知右手边的后验估计

我们考虑从在有限的点和区间系统上的解的间接观察中恢复具有周期系数的常微分方程的一阶线性系统的未知右手边的问题。在假设观测中的右手边和确定性误差受到一些二次限制的情况下，我们获得了与观测数据兼容的右手边的后验估计。