Systems of Stieltjes Differential Equations with Several Derivators

  • Rodrigo López Pouso
  • Ignacio Márquez AlbésEmail author


We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives. In this occasion, we are concerned about those systems where each component has a different derivator. We also show the interest of these systems of equations with a population model.


Existence ordinary differential equation Stieltjes integration 

Mathematics Subject Classification

34A12 34A34 26A24 



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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Departamento de Estatística, Análise Matemática e Optimización; Faculty of MathematicsUniversidade de Santiago de CompostelaSantiago de CompostelaSpain

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