Characterization of Jordan Vectors of Operator-Valued Functions with Applications in Differential Equations
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.
Fields of Study & Subjects
Matrix Theory and Algorithms
Holomorphic and Operator Theory
Mathematical functions and polynomials
Publication details
- Journal / source
- SARAJEVO JOURNAL OF MATHEMATICS
- Volume
- 21
- Issue
- 02
- Publication date
- 4 February 2026