An invariance principle for dynamical systems on Banach space - Application to the general problem of thermoelastic stability

Invariance principle on Banach space for generalized thermoelastic stability analysi

The Compliance Cost of Itemizing Deductions: Evidence from Individual Tax Returns

The resource cost of operating the income tax system is large, totaling as much as seven to eight percent of revenue raised. One source of this cost is the system of itemized deductions, which can require extensive record keeping and calculation. This paper estimates the resource cost of itemizing deductions. In contrast to previous studies of compliance cost which rely an survey evidence, we infer this evidence from data reported on tax returns which suggest that there exists taxpayers who would save money by itemizing but who choose not to. We find that in 1982 the private cost of itemizing totaled $1.44 billon, or$43 per itemizing taxpayer. The compliance cost dissuaded from itemizing aver 650,000 taxpayers who would have thereby saved taxes, causing an extra tax liability of nearly $200 million. Increasing the standard deduction by$1,000 would save $100 million in resources that would otherwise have been devoted to itemizing.

An invariance principle for dynamical systems in Hilbert spaces

Invariance method for extending Liapunov function to distributed parameter syste

Controllability and stabilizability of distributed bilinear systems: Recent results and open problems

This paper describes recent results for controlling and stabilizing control systems of the form ú(t) = Au(t) + p(t) B(u(t)) where A is the infinitesimal generator C∞ semigroup on a Banach space X, B' map from X into X, and p(t) is a real valued control. Application to a vibrating beam problem is given for illusstration of the theory

Controllability for Distributed Bilinear Systems

This paper studies controllability of systems of the form ${{dw} / {dt}} = \mathcal {A}w + p(t)\mathcal {B}w$ where $\mathcal{A}$ is the infinitesimal generator of a $C^0$ semigroup of bounded linear operators $e^{\mathcal{A}t}$ on a Banach space $X$, $\mathcal{B}:X \to X$ is a $C^1$ map, and $p \in L^1 ([0,T];\mathbb{R})$ is a control. The paper (i) gives conditions for elements of $X$ to be accessible from a given initial state $w_0$ and (ii) shows that controllability to a full neighborhood in $X$ of $w_0$ is impossible for $\dim X = \infty$. Examples of hyperbolic partial differential equations are provided

A Unifying Model of How the Tax System and Generally Accepted Accounting Principles Affect Corporate Behavior

This paper models the impact of the tax system and GAAP on the real and financial reporting decisions of corporations. It provides a first step toward joint evaluation of taxation and financial reporting in the standard economic analyses of corporate behavior. The key finding is that value arises from real decisions that provide firms with discretion in their tax and financial reporting. This desire for flexibility modifies the optimal decisions of firms, in theory, and we provide examples that illustrate this behavior in the real world.

Theory of a general class of dissipative processes

General theory of dissipative periodic processes for systems defined by partial, functional, or neutral differential equation

Invariance Properties of Inviscid Fluids of Grade n

Revisited and completed version, 18 pages and 2 figures.International audienceFluids of grade n are continuous media in dynamic changes of phases avoiding the surfaces of discontinuity and representing the capillary layers in liquid-vapour interfaces. We recall the thermodynamic form of the equation of motion for inviscid fluids of grade n. First integrals and theorems of circulation are deduced. A general classification of flows is proposed

Car Notches: Strategic Automaker Responses to Fuel Economy Policy

Notches --- where small changes in behavior lead to large changes in a tax or subsidy --- figure prominently in many policies, but have been rarely examined by economists. In this paper, we analyze a class of notches associated with policies aimed at improving vehicle fuel economy. We provide several pieces of evidence showing that automakers respond to notches in fuel economy policy by precisely manipulating fuel economy ratings so as to just qualify for more favorable treatment. We then describe the welfare consequences of this behavior and derive a welfare summary statistic applicable to many contexts.

Company Taxation in the European Union

This paper investigates different measures of corporate tax burden ranging from the most basic ones such as the statutory tax rate to the effective tax rates. Each of these measures has advantages and disadvantages and they may lead to different rankings of countries. One of the reasons lies the fact that they measure different things. The comparison of the statutory tax rates to the effective ones for the EU-27 during the period of 1998-2009 sometimes reveals very significant differences between these indicators. Taking this into consideration, the paper suggests that corporate tax burden analysis should not be limited to the most basic and readily available measure in the form of the statutory tax rate. Different measures are tailored to answer different research questions. Moreover, the article presents changes of company taxation for the EU-27 within 1998-2009.W artykule dokonano przeglądu miar obciążenia podatkowego przedsiębiorstw. Rozpoczynając od wielkości najprostszych, jak stopa nominalna, a kończąc na miarach efektywnych. Każdy ze wskaźników ma wady i zalety, a jego wykorzystanie może prowadzić do różnego uszeregowania państw ze względu na poziom opodatkowania. Jedną z przyczyn jest fakt, iż wielkości te mierzą inne rzeczy. Porównanie stóp nominalnych i efektywnych w krajach UE-27, w latach 1998-2009, wskazuje na istnienie niekiedy bardzo istotnych różnic pomiędzy analizowanymi wskaźnikami. W związku z tym artykuł sugeruje, iż nie należy ograniczać analiz opodatkowania przedsiębiorstw, do najprostszego i najłatwiej dostępnego wskaźnika w postaci ustawowej stopy podatkowej a rozszerzyć je o miary efektywne. Wielkości te, stanowiące lepszy instrument do porównań międzynarodowych, umożliwiają przeprowadzenie wszechstronnych badań