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Inverse Jacobi multipliers are a natural generalization of inverse integrating factors ton-dimensional dynamical systems. In this paper, the corresponding theory is developed from its beginning in… (More)

AbstractWe study in this paperC1 two-dimensional dynamical systems of the formx=P(x,y), y=Q(x,y). We analyse the properties of the vanishing set of inverse integrating factors V, which are defined… (More)

Abstract. We define Lagrangian means as those obtained from applying the classical mean value formula to a strictly convex regular function. We show that there is a close relationship between… (More)

Summary. Cauchy means are defined as those obtained from applying the Cauchy mean value theorem to a pair of suitable functions. A so-called mixing operator is defined, in such a way that each Cauchy… (More)

The asymptotic behaviour of a heat conduction problem involving a non-linear heat source depending on the heat-flux occurring in the extremum of a semi-infinite slab is discussed. Conditions are… (More)

- Lucio R. Berrone
- 2012

The theory of dyadic iterations of two-variables continuous means is revised and extended in order to introduce the concept of base family of a continuous mean. Besides other results of interest, a… (More)

A one dimensional heat equation in a semi-infinite medium controlled through a heat source depending on the delayed heat flux at the extremum is studied. By reducing the problem to a delayed Volterra… (More)

- Lucio R. Berrone
- 2000

Let u be a harmonic function on a bounded domain Ω which satisfies the mixed boundary conditions u ∣∣ Γ0 = 0, ∂u ∂n ∣∣ Γ1 = 1, where Γ1 is composed by a finite number of subarcs of ∂Ω, Γ0 = ∂Ω ∼ Γ1… (More)

- Lucio R. Berrone
- 2003