STIELTJES DIFFERENTIAL CALCULUS WITH APPLICATIONS

STIELTJES DIFFERENTIAL CALCULUS WITH APPLICATIONS

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The Stieltjes derivative is a modification of the usual derivative through a nondecreasing and left-continuous map. This change in the definition allows us to study several differential problems under the same framework. This monograph is the first published book that offers a comprehensive view of the fundamentals of Stieltjes calculus and its applications, making it approachable to newcomers and experts. It aims to provide an integrated approach to the foundations and recent developments in the area of the Stieltjes derivatives and the qualitative theory of the Stieltjes differential equatio...