| Autor: |
Cora Calvo, Victor, Fernández Fernández, Francisco Javier, Fernández Tojo, Fernando Adrián |
| Přispěvatelé: |
Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Analysis and Applications. 526:127259 |
| ISSN: |
0022-247X |
| Popis: |
In this work we develop a theory of Stieltjes-analytic functions. We first define the Stieltjes monomials and polynomials and we study them exhaustively. Then, we introduce the g-analytic functions locally, as an infinite series of these Stieltjes monomials and we study their properties in depth and how they relate to higher order Stieltjes differentiation. We define the exponential series and prove that it solves the first order linear problem. Finally, we apply the theory to solve higher order linear homogeneous Stieltjes differential equations with constant coefficients The authors were partially supported by Xunta de Galicia, project ED431C 2019/02, and by the Agencia Estatal de Investigación (AEI) of Spain and by the European Community fund FEDER under grant MTM2016-75140-P SI |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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