School of Economics, Diss.--Helsinki, 2007. / Enth. 5 Beitr.

Univ., Diss.--Lausanne, 2007. / Enth. 3 Beitr.

Univ., Diss.--Zürich, 2005. / Enth. 4 Beitr.

Thesis (Ph. D.)--Brandeis University, 2008. / "UMI:3306459." MICROFILM COPY ALSO AVAILABLE IN THE UNIVERSITY ARCHIVES. Includes bibliographical references.

Frankfurt (Main), University, Diss., 2007. / Enth. 3 Sonderabdr.

Otimizar significa determinar estratégias para se obter as melhores alternativas em busca dos objetivos traçados. Em matemática, otimização refere-se ao estudo de problemas em que se deseja maximizar ou minimizar uma determinada função através da escolha sistemática dos valores de variáveis dentro de um conjunto viável. Um dos métodos de se determinar os máximos e mínimos de funções é utilizando-se o cálculo em várias variáveis, o qual será abordado nesse trabalho. Possíveis situações relacionadas ao cotidiano são apresentadas para que o processo de otimização possa ser abordado por alunos do Ensino Médio. / Optimizing means determing strategies to obtain better alternatives in the search of the stated aims. In Mathematics, optimization refers to the study of problems in which we want to maximize or to minimize a certain function through a systematic choice of variable values in a viable set. One of the methods used to determine the maximums and the minimums of functions is using calculus in several variables, what will be discussed in this work. Possible situations related to daily life are presented so that the optimization process can be studied by high school students.

In this thesis, we study integral representations of Herglotz-Nevanlinna functions, that is to say holomorphic functions defined on a product of several copies of the complex upper half-plane having non-negative imaginary part. The manuscript is divided into three parts, beginning with a general introduction followed by two papers. In the general introduction, we familiarize ourselves with the concept of a Herglotz-Nevanlinna function as well as providing a comprehensive introduction into the theory of integral representations for this particular class of functions. Paper I treats exclusively the two-variable case and presents an integral representation of Herglotz-Nevanlinna functions in two complex variables in terms of a real number, two non-negative numbers and a positive Borel measure satisfying two properties. Three properties that hold for the class of measures appearing in such integral representations are also proven. In Paper II, we provide an integral representation for the class of Herglotz-Nevanlinna functions in arbitrarily many complex variables in terms of a real number, a linear term and a positive Borel measure satisfying two properties. Properties of the class of measures appearing in this representation are then discussed in detail as well as alternative descriptions of said class. Finally, a symmetry formula satisfied by Herglotz-Nevanlinna functions is proved at the end.

LR Konstitucinis Teismas savo išaiškinimuose yra pažymėjęs, kad dėl neteisėtų veiksmų nukentėjusiam asmeniui visais atvejais yra užtikrinama galimybė reikalauti teisingo žalos atlyginimo ir jį gauti, o teisingumo ir teisinės valstybės principai sąlygoja, kad įstatyminės poveikio priemonės garantuotų asmenų teisėtų interesų pusiausvyrą. LR CK 6.270 str. 3 d. numato, kad didesnio pavojaus šaltinio valdytojas (toliau – DPŠV), laikomas solidariai atsakingu su neteisėtai didesnį pavojaus šaltinį užvaldžiusiu asmeniu atvejais, kai dėl šaltinio praradimo yra ir paties valdytojo kaltės, bei tai, kad atlyginęs žalą DPŠV, gauna regreso teisę į neteisėtai didesnio pavojaus šaltinį užvaldžiusį asmenį. Toks teisinis reguliavimas gali sąlygoti, kad DPŠV dėl neatsargumo praradęs tą šaltinį, gali būti priverstas atsakyti ta pačia apimtimi, kaip ir tyčiniais nusikalstamais veiksmais žalą sukėlę asmenys. Todėl kyla abejonė, ar CK 6.270 str. 3 d. ta apimtimi, kuri numato solidariąją DPŠV atsakomybę, nepažeidžia asmenų teisėtų interesų pusiausvyros. Magistro darbe buvo nustatyta ir tiriama: DPŠV atsakomybės požymiai ir atribojimas nuo kitų atsakomybės rūšių; solidariosios atsakomybės problematika deliktiniuose santykiuose; DPŠV ir nukentėjusiojo asmens teisėti interesai Lietuvoje. Darbe vertinama, kaip skirtingose valstybėse gali būti derinami asmens, valdančio objektą, kuris pagal Lietuvos teisę laikomas didesnio pavojaus šaltiniu, ir nukentėjusiojo dėl to šaltinio asmens interesai. Buvo... [toliau žr. visą tekstą] / Constitutional Court of the Republic of Lithuania has held in it’s decisions, that the constitutional imperative for compensation for material and moral damage is inherent in the Constitution enshrined the principle of justice that laws must be provided with all the necessary legal preconditions for just compensation of damages to victims. However, the constitutional principles of justice and the rule of law, also implies that the measures established, have to meet the legitimate and universally important objectives and guarantee of balance of legitimate interests. There is 6.270 Art. 3 p. in Civil Code of the Republic of Lithuania which provides that the possessor of a potentially hazardous object (hereinafter PPHO), the latter and the person who seized the potentially hazardous object unlawfully, shall be held jointly and severally liable for the damage caused by that object, in cases where the loss of possession of a potentially hazardous object results also from the fault (as well negligence) of the possessor. Upon having compensated for the damage, the PPHO shall acquire a right of recourse for the recovery of sums paid against the person who unlawfully seized the potentially hazardous object. Having regard to the legal regulation, there is possibility of situation where the PPHO which contributed fractional share in loss of possession of potentially hazardous object should be liable for the damage caused by intentional criminal acts made by third parties. Moreover... [to full text]

Submitted by Filipe dos Santos (fsantos@pucsp.br) on 2018-09-26T10:02:46Z No. of bitstreams: 1 Luciano Cezar Vernalha Guimarães.pdf: 1343214 bytes, checksum: 6b166669b02d99c7945ee3e55a39626b (MD5) / Made available in DSpace on 2018-09-26T10:02:46Z (GMT). No. of bitstreams: 1 Luciano Cezar Vernalha Guimarães.pdf: 1343214 bytes, checksum: 6b166669b02d99c7945ee3e55a39626b (MD5) Previous issue date: 2018-08-23 / The related contracts may be considered a new modality of contractual arrangement, with own particularities and peculiarities. The traditional studies of contract, despite providing the theoretical framework for the legal treatment of related contracts, does not account for disciplining all the potentialities associated with this type of contracting. The doctrine, therefore, has looked over the subject, in order to produce material capable of conceptualizing, systematizing and classifying the related contracts. In this context, it becomes relevant the verification of legal consequences of related contracts. Among the consequences, it is important here to deal with exception non adimpleti contractus. The purpose is to establish criteria and parameters for the application of the exceptio non adimpleti contractus in the related contracts / Os contratos coligados encerram nova modalidade de arranjo contratual, com particularidades e peculiaridades próprias. A dogmática tradicional dos contratos, a despeito de fornecer o arcabouço teórica para o tratamento jurídico dos contratos coligados, não dá conta de disciplinar todas as potencialidades ligadas a este tipo de contratação. A doutrina, assim, tem se debruçado sobre o tema, de modo a produzir material capaz de conceituar, sistematizar e classificar os contratos coligados. Neste contexto, torna-se relevante a verificação das consequências jurídicas da coligação contratual. Dentre as consequências, importa aqui tratar da exceção do contrato não cumprido. O propósito é estabelecer critérios e parâmetros para a aplicação da exceptio non adimpleti contractus no âmbito dos contratos coligados

The first part of the thesis deals with aspects of Loewner theory in several complex variables. First we show that a Loewner chain with minimal regularity assumptions (Df(0,t) of local bounded variation) satisfies an associated Loewner equation. Next we give a way of renormalizing a general Loewner chain so that it corresponds to the same increasing family of domains. To do this we will prove a generalization of the converse of Carathéodory's kernel convergence theorem. Next we address the problem of finding a Loewner chain solution to a given Loewner chain equation. The main result is a complete solution in the case when the infinitesimal generator satisfies Dh(0,t)=A where inf {Re<Az,z>: ||z| =1}> 0. We will see that the existence of a bounded solution depends on the real resonances of A, but there always exists a polynomially bounded solution. Finally we discuss some properties of classes of biholomorphic mappings associated to A-normalized Loewner chains. In particular we give a characterization of the compactness of the class of spirallike mappings in terms of the resonance of A. The second part of the thesis deals with the problem of finding examples of extreme points for some classes of mappings. We see that straightforward generalizations of one dimensional extreme functions give examples of extreme Carathéodory mappings and extreme starlike mappings on the polydisc, but not on the ball. We also find examples of extreme Carathéodory mappings on the ball starting from a known example of extreme Carathéodory function in higher dimensions.