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arXiv · 2512.09178

Characterization of Jordan Vectors of Operator-Valued Functions with Applications in Differential Equations

Muhamed Borogovac
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Abstract

A well-known characterization of Jordan vectors of a matrix polynomial $L(z)$ is generalized to a characterization of Jordan vectors of the operator-valued function $Q(z)$ at an eigenvalue $\alpha \in \mathbb{C}$. The results are then applied to solve a system of nonlinear ordinary differential equations.

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Muhamed Borogovac. 2025-12-09. Characterization of Jordan Vectors of Operator-Valued Functions with Applications in Differential Equations. https://arxiv.org/abs/2512.09178

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