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arXiv · 2512.22053

Local identifiability of a parameter function in a system of differential equations

V. S. Shalgin
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Abstract

In this paper, we consider the problem of local parameter identifiability of a parameter function in a system of ordinary differential equations. Previously, in this problem, the case where the dimensions of a parameter and a solution of a system coincide was considered, and a specific class of systems was identified, for which sufficient conditions for local parametric identifiability were obtained. We extend these results and consider a wider class of systems of differential equations, as well as the case where the dimension of a parameter is less than or equal to the dimension of a solution of a system. In both cases, sufficient conditions are derived for the local identifiability of a parameter function based on observations of a solution at a finite number of points.

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V. S. Shalgin. 2025-12-26. Local identifiability of a parameter function in a system of differential equations. https://arxiv.org/abs/2512.22053

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