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A remark on the Hadamard-Hirakawa formula for an electromagnetic cavity problem

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

In this paper we consider the eigenvalues of time-harmonic Maxwell's equations in an electromagnetic cavity subject to a regular variation of the doma......

Kluvanek-Lewis-Henstock integral in Banach spaces

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

In this article, we extend Kluvanek-Lewis-Henstock thegral theory in associate with X-valued measure of [4]. We investigate some properties and conver......

Improved tail estimates for the distribution of quadratic Weyl sums

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; 16 (2)

We consider quadratic Weyl sums S-N (x; c, alpha a) = Sigma(N)(n=1) exp {2 pi i ((1/2n(2) + cn)x + alpha n)} for c = alpha = 0 (the rational case) or ......

On the comparison of powers of differential operators (polynomials)

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

Necessary and sufficient conditions are obtained for the generalized-homogeneous or common polynomial P to be more powerful then the generalized-homog......

Integrals detecting degree 3 string cobordism classes

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

The third string bordism group Bord( 3)(String) is known to be Z/24Z. Using Waldorf's notion of a geometric string structure on a manifold, Bunke-Naum......

Principal fundamental system of solutions, the Hartman-Wintner problem and correct solvability of the general Sturm-Liouville equation

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

We study the problem of correct solvability in the space L-p(R), p is an element of [1,infinity)of the equation-(r(x)y '(x))' + q(x)y(x) = f(x), x is ......

Tra le carte di Gino Fano: le ricerche sulle varieta a tre dimensioni

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

This paper investigates G. Fano's contributions to the study of three-dimensional varieties-the so called Fano threefolds-starting from unpublished ma......

A graph theoretical approach to decisions in social choice, law, AI

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; 16 (3)

Graph theory proved to be a quite powerful mathematical tool to model several problems in a discrete setting. In this paper the authors illustrate how......

Stochastic and statistical stability of the classical Lorenz flow under perturbations modeling anthropogenic type forcing

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; 16 (2)

We review the results obtained in Gianfelice et al. (Commun Math Phys 313:745-779, 2012) and Gianfelice and Vaienti (J Stat Phys 181(1):163-211, 2020)......

Some fixed point theorems and applications in Busemann spaces

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; 16 (3)

In this paper, we prove a generalized version of the Darbo-Sadovskii fixed point theorem in Busemann spaces and as an application, we prove the famous......

Boundary effects on wave trains in the Exner model of sedimental transport

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

In this work we compute the numerical solution of the Exner model of sedimentation when a train of waves is imposed at the inflow boundary (E. Macca i......

Solvability of a fourth order elliptic problem in a bounded sector, part I

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

The purpose of this article (composed of two parts) is the study of the generalized dispersal operator of a reaction-diffusion equation in L-p-spaces ......

Is every pseudo-orbit of some homeomorphism near an exact orbit of a nearby homeomorphism?

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; 16 (2)

We propose a relaxed notion of shadowing. In particular, for a homeomorphism f on a metric space, we ask whether every approximate orbit is near some ......

A mapping property of the heat volume potential

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; ()

We consider the volume potential associated with the heat operator and we prove a mapping property in the space of distributions which are the time de......

Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics

期刊: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023; 16 (2)

Perturbative methods have been developed and widely used in the XVIII and XIX century to study the behavior of N-body problems in Celestial Mechanics.......

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