Search results for " Volterra"

An Ecology and Economy Coupling Model. A global stationary state model for a sustainable economy in the Hamiltonian formalism

2020

Abstract The severity of the two deeply correlated crises, the environmental and the economic ones, needs to be faced also in theoretical terms; thus, the authors propose a model yielding a global “stationary state”, following the idea of a “steady-state economics” by Georgescu-Rogen and Herman Daly, by constructing only one dynamical system of ecological and economic coupled variables. This is possible resorting to the generalized Volterra model, that, translated in the Hamiltonian formalism and its Hamilton equations, makes possible to “conjugate” every pair of variables, one economic, the other one ecological, in describing the behavior in time of a unique dynamical system. Applying the …

A note on the uniqueness and attractive behavior of solutions for nonlinear Volterra equations

2001

In this paper we prove that positive solutions of some nonlinear Volterra integral equations must be locally bounded and global attractors of positive functions. These results complete previous results about the existence and uniqueness of solutions and their attractive behavior.

Set valued integrability in non separable Fréchet spaces and applications

2016

AbstractWe focus on measurability and integrability for set valued functions in non-necessarily separable Fréchet spaces. We prove some properties concerning the equivalence between different classes of measurable multifunctions. We also provide useful characterizations of Pettis set-valued integrability in the announced framework. Finally, we indicate applications to Volterra integral inclusions.

Recensione: MR3198633 Reviewed Olszowy, Leszek A family of measures of noncompactness in the space L1loc(R+) and its application to some nonlinear Vo…

2014

An adaptive method for Volterra–Fredholm integral equations on the half line

2009

AbstractIn this paper we develop a direct quadrature method for solving Volterra–Fredholm integral equations on an unbounded spatial domain. These problems, when related to some important physical and biological phenomena, are characterized by kernels that present variable peaks along space. The method we propose is adaptive in the sense that the number of spatial nodes of the quadrature formula varies with the position of the peaks. The convergence of the method is studied and its performances are illustrated by means of a few significative examples. The parallel algorithm which implements the method and its performances are described.

L’opera del premio Nobel Giulio Natta fra le attività della Società Italiana per il Progresso delle Scienze (SIPS) e della Società Chimica Italiana (…

2013

In spite of its great historical and social-institutional importance, the Italian Society for the Progress of Sciences (SIPS) still have not that historical fame which it would deserve. This paper wishes to contribute to delineate a brief historic-critical account which may provide a coherent diachronic perspective in which historically laid out such an institution, highlighting the relevant load that it has had for the cultural, scientific and technological development of the post-Resurgence Italy. From this historical recognition, it will be then possible to descry a more or less direct role played by SIPS, around the first half of 20th Century, as concerns the research activity of the It…