42 citations · 88 across the 9 of their papers we have counts for
12 papers
Stieltjes-generated moment functionals and orthogonality: a transfer principle and an image theorem
Iván Area, Francisco J. Fernández, F. Adrián F. Tojo
We study the orthogonality induced by Stieltjes derivatives from the point of view of ordinary polynomial moment functionals. If \(g\) is a derivator and the Stieltjes monomials \(…
Constructive solutions of the heat equation with Stieltjes derivatives
Clara Senín, F. Adrián F. Tojo
In this work, we investigate the one-dimensional heat equation within the framework of Stieltjes calculus. We first consider the equation associated with two fixed derivators and d…
Stieltjes differential equations with bounded-variation derivators and application to thermal stress in solar panels
Lamiae Maia, F. Adrián F. Tojo
In this work we extend the theory of Stieltjes systems beyond the monotone case, establishing new chain rules, generalized versions of the Fundamental Theorem of Calculus, compactn…
On the approximation properties of Stieltjes polynomials
Víctor Cora, F. Adrián F. Tojo
We introduce and study the approximation properties of -polynomials, defined as linear combinations of iterated Stieltjes integrals of a constant function. Focusing on the case…
On the kernel of the Stieltjes derivative and the space of bounded Stieltjes-differentiable functions
Francisco J. Fernández, Ignacio Márquez Albés, F. Adrián F. Tojo +1
We investigate the existence and uniqueness of solutions to first-order Stieltjes differential problems, focusing on the role of the Stieltjes derivative and its kernel. Unlike the…
Stieltjes differential systems with non monotonic derivators
Marlène Frigon, F. Adrián F. Tojo
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 \emph{function of controlled…
Stieltjes analytic functions and higher order linear differential equations
Víctor Cora, F. Javier Fernández, F. Adrián F. Tojo
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 Sti…
The Wronskian and the variation of parameters method in the theory of linear Stieltjes differential equations of second order
Francisco J. Fernández, Ignacio Marquez Albés, F. Adrián F. Tojo
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 sc…
Fixed points of Hammerstein-type equations on general cones
Rubén Figueroa, F. Adrián F. Tojo
We obtain new results on the existence and multiplicity of fixed points of Hammerstein equations in very general cones. In order to achieve this, we combine a new formulation of co…
Nonlinear perturbed integral equations related to nonlocal boundary value problems
Alberto Cabada, Gennaro Infante, F. Adrián F. Tojo
By topological arguments, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions of a class of perturbed nonlinear integral equ…
Non-trivial solutions of local and non-local Neumann boundary-value problems
Gennaro Infante, Paolamaria Pietramala, F. Adrian F. Tojo
We prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for perturbed Hammerstein integral equations. Our approach is topologica…
Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications
Alberto Cabada, Gennaro Infante, F. Adrian F. Tojo
We provide a theory to establish the existence of nonzero solutions of perturbed Hammerstein integral equations with deviated arguments, being our main ingredient the theory of fix…