Zobrazeno 1 - 10
of 182
pro vyhledávání: '"Tojo F"'
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 Stieltjes analytic functions locally, as an infinite series of these Stie
Externí odkaz:
http://arxiv.org/abs/2301.08082
In this work we study some topological aspects of function spaces arising in Stieltjes differential calculus. Chief among them are compactness results related to the Ascoli-Arzel\`a and Kolmogorov-Riesz theorems, as well as their applications to Stie
Externí odkaz:
http://arxiv.org/abs/2211.07279
In this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative. Later, we use these tools to investigate
Externí odkaz:
http://arxiv.org/abs/2206.10855
This work revolves around the study of differentiability in the Stieltjes sense of a product of functions. A formula for the first order derivative has been obtained in the past, which is similar to the usual one with some extra terms in its expressi
Externí odkaz:
http://arxiv.org/abs/2205.10090
In this article we explore under which conditions on the interior function the composition of functions is measurable. We also study the sharpness of the result by providing a counterexample for weaker hypotheses.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2110.11235
This work deals with the obtaining of solutions of first and second order Stieltjes differential equations. We define the notions of Stieltjes derivative on the whole domain of the functions involved, provide a notion of n-times continuously Stieltje
Externí odkaz:
http://arxiv.org/abs/2106.09332
We introduce a digital twin of the classical compartmental SIR (Susceptible, Infected, Recovered) epidemic model and study the interrelation between the digital twin and the system. In doing so, we use Stieltjes derivatives to feed the data from the
Externí odkaz:
http://arxiv.org/abs/2105.02217
Publikováno v:
J. Math. Anal. Appl. 488 (2020) 124079
This work is devoted to the mathematical analysis of Stieltjes Bochner spaces and their applications to the resolution of a parabolic equation with Stieltjes time derivative. This novel formulation allows us to study parabolic equations that present
Externí odkaz:
http://arxiv.org/abs/2001.11183
This work is devoted to the obtaining of a new numerical scheme based in quadrature formulas for the Lebesgue-Stieltjes integral for the approximation of Stieltjes ordinary differential equations. This novel method allows us to numerically approximat
Externí odkaz:
http://arxiv.org/abs/2001.10957
In this work we establish a theory of Calculus based on the new concept of displacement. We develop all the concepts and results necessary to go from the definition to differential equations, starting with topology and measure and moving on to differ
Externí odkaz:
http://arxiv.org/abs/2001.00467