Work

A pathological property of nonlocal discrete operators

Year: 2026

Type: article

Abstract: We demonstrate that there exist sequences { u n } n = 0 ∞ ⊆ ( 0 , + ∞ ) \big \{ u_{n} \big \}_{n = 0}^{\infty } \subseteq (0, +\infty ) such that u n + 1 > u n u_{n + 1}> u_{n} for each n ∈ N 0 n\in \mathbb {N}_{0} , but yet the fractional difference of the sequence is uniformly negative. This demonstrates a pathological property of nonlocal discrete operators.

Source: Proceedings of the American Mathematical Society Series B

DOI: 10.1090/bproc/278

Authors: William Chang, Christopher Goodrich, Valentio Iverson, Khang Nguyen

Institutions: University of California, Los Angeles, UNSW Sydney, University of Waterloo

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $750

OpenAlex ID: W7127995683