17 citations · 17 across the 3 of their papers we have counts for
3 papers
math.DS2024
Characterizations of multidimensional compact almost automorphic functions and applications to Poissons and heat equations
Alan Chávez, Jolbyn Castañeda, Alexis R. Carranza +1
Let \(\mathcal{G}\) be a non-empty subset of the Euclidean space \(\mathbb{R}^m\) (\(m \geq 1\)). This work is dedicated to further exploring the properties of \(\mathcal{G}\)-mult…
math-ph2017
A Laplace transform approach to linear equations with infinitely many derivatives and zeta-nonlocal field equations
Alan Chavez, Humberto Prado, Enrique G. Reyes
We study existence, uniqueness and regularity of solutions for linear equations in infinitely many derivatives. We develop a natural framework based on Laplace transform as a corre…
math.CA2013★ 17 cited
Discontinuous Almost Automorphic Functions and Almost Automorphic Solutions of Differential Equations with Piecewise Constant Argument
A. Chavez, S. Castillo, M. Pinto
In this article we introduce a class of discontinuous almost automorphic functions which appears naturally in the study of almost automorphic solutions of differential equations wi…