1 citations · 1 across the 2 of their papers we have counts for
3 papers
Functional equation arising in behavioral sciences: solvability and collocation scheme in Hölder spaces
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
We consider a generalization of a functional equation that models the learning process in various animal species. The equation can be considered nonlocal, as it is built with a con…
Collocation method for a functional equation arising in behavioral sciences
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
We consider a nonlocal functional equation that is a generalization of the mathematical model used in behavioral sciences. The equation is built upon an operator that introduces a…
Finite difference method for a Volterra equation with a power-type nonlinearity
Hanna Okrasińska-Płociniczak, Łukasz Płociniczak
In this work we prove that a family of explicit numerical finite-difference methods is convergent when applied to a nonlinear Volterra equation with a power-type nonlinearity. In t…