Systems of Stieltjes Differential Equations with Several Derivators
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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.
KeywordsExistence ordinary differential equation Stieltjes integration
Mathematics Subject Classification34A12 34A34 26A24
- 2.López Pouso, R., Rodríguez, A.: A new unification of continuous, discrete, and impulsive calculus through Stieltjes derivatives. Real Anal. Exchange 40(2), 1–35 (2014–2015)Google Scholar