Notes on the existence and uniqueness of solutions of Stieltjes differential equations
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DOI: 10.1002/mana.201900138
Abstract: We study some classical uniqueness and existence results, such as Peano's or Osgood's uniqueness criteria, in the context of Stieltjes differential equations. This type of equation is based on derivatives with respect to monotone functions,… read more here.
Keywords: existence uniqueness; notes existence; uniqueness solutions; solutions stieltjes ... See more keywords
Systems of Stieltjes Differential Equations with Several Derivators
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DOI: 10.1007/s00009-019-1321-2
Abstract: 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… read more here.
Keywords: systems stieltjes; differential equations; equations several; several derivators ... See more keywords
Existence and Uniqueness of Solution for Stieltjes Differential Equations with Several Derivators
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DOI: 10.1007/s00009-021-01817-2
Abstract: In this paper, we study some existence and uniqueness results for systems of differential equations in which each of the equations of the system involves a different Stieltjes derivative. Specifically, we show that this problems… read more here.
Keywords: solution stieltjes; differential equations; solution; stieltjes differential ... See more keywords
Stieltjes differential systems with nonmonotonic derivators
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DOI: 10.1186/s13661-020-01345-0
Abstract: In this work we study Stieltjes differential systems of which the derivators are allowed to change sign. This leads to the definition of the notion of a function of controlled variation , a characterization of… read more here.
Keywords: differential systems; nonmonotonic derivators; systems nonmonotonic; stieltjes differential ... See more keywords