English

Monotonicity of a Class of Integral Functionals

Classical Analysis and ODEs 2015-03-19 v1 Functional Analysis

Abstract

In this note we prove a condition of monotonicity for the integral functional F(g)=abh(x)d[g(x)] F(g) = \int_a^b h(x)\, d[-g(x)] with respect to gg, a function of bounded variation. This condition is applied to analyze the behavior of a generalized structured population model.

Keywords

Cite

@article{arxiv.1503.05390,
  title  = {Monotonicity of a Class of Integral Functionals},
  author = {Stefano Bertoni},
  journal= {arXiv preprint arXiv:1503.05390},
  year   = {2015}
}
R2 v1 2026-06-22T08:56:05.400Z