Exponential map of finite potent endomorphisms and explicit algebraic solutions of some infinite linear systems of differential equations
[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...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/168476 |
| Acceso en línea: | http://hdl.handle.net/10366/168476 |
| Access Level: | acceso embargado |
| Palabra clave: | Exponential map Finite potent endomorphism Drazin inverse Differential equation Infinite linear system 12 Matemáticas |
| Sumario: | [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. |
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