Título
Exponential map of finite potent endomorphisms and explicit algebraic solutions of some infinite linear systems of differential equations
Autor(es)
Palabras clave
Exponential map
Finite potent endomorphism
Drazin inverse
Differential equation
Infinite linear system
Clasificación UNESCO
Fecha de publicación
2025-09-04
Editor
Taylor and Francis
Citación
Pablos Romo, F. (2025). Exponential map of finite potent endomorphisms and explicit algebraic solutions of some infinite linear systems of differential equations. Linear and Multilinear Algebra, 73(10), 2404–2427. https://doi.org/10.1080/03081087.2024.2447528
Resumen
[EN]The aim of this work is to offer a method for studying the consis
tence and computing the set of solutions of some infinite systems
of differential equations from the exponential map of a finite potent
endomorphism. This method is related with the Drazin inverse of a
finite potent operator on an infinite-dimensional vector space that
was introduced by the author in 2019. Moreover, explicit examples
of the exponential of a finite potent endomorphism and the set of
solutions of an infinite system of differential equations are provided.
URI
ISSN
0308-1087
DOI
10.1080/03081087.2024.2447528
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