Monotonicity of a Class of Integral Functionals

2015/02/17 by Stefano Bertoni, Bertoni, Stefano
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA

paper · pdf · doi:10.48550/arxiv.1503.05390

arxiv created 2015/02/17 · arxiv updated 2015/03/19

Abstract

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

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