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math.NA2024★ 1 cited
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…
math.FA2024★ 6 cited
Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish
Josefa Caballero, Łukasz Płociniczak, Kishin Sadarangani
In this paper, we examine the solvability of a functional equation in a Lipschitz space. As an application, we use our result to determine the existence and uniqueness of solutions…