Search results for "integral"

Multi-parameter analysis of the obstacle scattering problem

2022

Abstract We consider the acoustic field scattered by a bounded impenetrable obstacle and we study its dependence upon a certain set of parameters. As usual, the problem is modeled by an exterior Dirichlet problem for the Helmholtz equation Δu + k 2 u = 0. We show that the solution u and its far field pattern u ∞ depend real analytically on the shape of the obstacle, the wave number k, and the Dirichlet datum. We also prove a similar result for the corresponding Dirichlet-to-Neumann map.

Mesure invariante d'une equation integrale stochastique a coefficients periodiques et applications a un modele d'epidemiologie

2012

We consider a stochastic integral equation, whose coe cients are periodic in time. Under a suitable condition we prove the existence of an invariant mesure for this stochastic equation. This invariant mesure is constructed on a Banach space of continuous functions. We study also its application to an epidemiologic model of malaria, which concerns the infected population and the vector population.

Modello di aiuto alla decisione con interazione tra i criteri per la riqualificazione di aree urbane. Decision-aid model with interaction between cri…

2015

Il problema decisionale relativo agli interventi di riqualificazione delle aree urbane si caratterizza per la complessità degli impatti sociali, economici e ambientali che in generale si producono. Le destinazioni funzionali delle aree abbandonate compatibili con le loro caratteristiche e il relativo contesto possono essere molteplici e la scelta fra le alternative si traduce nella selezione di una determi-nata ripartizione fra gli stakeholder dei vantaggi e svantaggi causati dall’intervento.L’analisi multicriteriale fornisce strumenti operativi idonei per affrontare tali problemi, per realizzare una vera e propria attività cognitiva, finalizzata a comprendere i punti di vista dei diversi s…

Convergence theorems for the PU-integral

2000

Analytical solutions of magnetohydrodynamical problems on a flow of conducting fluid in the entrance region of channels in a strong magnetic field šķ…

2014

Darbā iegūti analītiskie atrisinājumi magnetohidrodinamiskiem (MHD) uzdevumiem par elektrovadoša šķidruma plūsmu plakanā un cilindriskā kanālā stiprā magnētiskā laukā gadījumiem, kad šķidrums ietek kanālos caur galīga platuma spraugu vai caur galīga rādiusa atveri kanāla sānu malā. Pamatojoties uz iegūtajiem atrisinājumiem, veikta plūsmas ātruma lauka skaitliskā analīze. Iegūti uzdevumu asimptotiskie atrisinājumi lieliem Hartmana skaitļiem. Turklāt darbā pētīta pilna spiediena spēka šķidruma ieplūdes apgabalā atkarība no funkcijas veida, ar kuru ir uzdots ātruma robežnosacījums. Pētījums veikts analītiski, risinot divas hidrodinamiskas problēmas un divas MHD problēmas par viskoza šķidruma i…

Il diritto non scritto nel sistema della Convenzione europea dei diritti umani

2016

Il lavoro si occupa dei rapporti tra diritto internazionale generale e sistema della Cedu, affrontando in particolare il problema di capire se la Corte edu abbia fatto ricorso al modello tradizionalmente usato nella giurisprudenza internazionale per stabilire condizioni e modalità di funzionamento delle norme generali nel sistema o se abbia elaborato una concezione un modello autonomo. This paper discusses the relationship between customary international law and the ECHR. The focus is the question whether this problem has been handled by the European Court of Human Rights through the model of relationship between customary law and treaty law which is commonly used by international judges an…

Breakthroughs in Photonics 2014: Recent Advances in 3-D Integral Imaging Sensing and Display

2015

Integral imaging concept provides a fascinating tool for the capture and display of 3-D images or movies with full parallax, with no need for special glasses and without visual fatigue due to the convergence and accommodation conflict. The limitations and recent advances in integral imaging are discussed.

Product local system and Fubini and Tonelli theorems

2008

We present an integral, called S-integral, de ned by means of Riemann sums related to product local systems on the plane. The classical Henstock integral on the plane with respect to the Kurzweil basis is an example of integral related to a product local system. Some properties and a Fubini type theorem for the S-integral are considered. A monotone convergence theorem for the integral constructed by a local sys- tem in the real line is given and it is used to obtain a Tonelli type theorem for a product local system.

Magneto-electric laminates free vibration characterization by dual reciprocity BEM

2010

Two examples related to conical energies

2022

In a recent article we introduced and studied conical energies. We used them to prove three results: a characterization of rectifiable measures, a characterization of sets with big pieces of Lipschitz graphs, and a sufficient condition for boundedness of nice singular integral operators. In this note we give two examples related to sharpness of these results. One of them is due to Joyce and M\"{o}rters, the other is new and could be of independent interest as an example of a relatively ugly set containing big pieces of Lipschitz graphs.