Characterization of Jordan Vectors of Operator-Valued Functions with Applications in Differential Equations (2512.09178v1)

Published 9 Dec 2025 in math.FA

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 $α\in \mathbb{C}$. The results are then applied to solve a system of nonlinear ordinary differential equations.

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Authors (1)

Muhamed Borogovac

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