Duisburg, Universiẗat, Diss., 1997. / Dateiformat: zip, Dateien in unterschiedlichen Formaten.

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Esta pesquisa se concentra na discussão acerca da utilização da terminologia Sturm und Drang no que se refere o repertório de Joseph Haydn escrito nas cercanias da década de 1770. Este período das composições de Haydn tem sido considerado como parte do movimento precursor do romantismo, que na literatura é denominado Sturm und Drang. Entretanto, existem algumas inconsistências na incorporação desta nomenclatura na música de Haydn. Desta forma, através do exame de preceptivas do século XVIII, destacando o tratado escrito por Johann Mattheson, Der Vollkommene Capellmeister [O Mestre de Capela Perfeito ] de 1739, se pretende recuperar o universo de referências musicais do compositor austríaco e reavaliar as suas composições inseridas na categoria Sturm und Drang. Através da consideração sobre os argumentos daqueles que defendem a existência do Sturm und Drang musical, visamos neste trabalho, por meio do confronto das ideias, avaliar a adequação da utilização do termo ao contexto musical de Joseph Haydn. / This research concentrates in the quarrel regarding the use of Sturm und Drang terminology commonly used to define Joseph Haydn\'s repertoire composed around 1770. This period of Haydn\'s composition has been considered as part of the literatute movement known as Sturm und Drang. However, there are some inconsistencies in the incorporation of this nomenclature in music. In such a way, through the examination of treatises from the 18th century , detaching the treaty written by Johann Mattheson, in 1739, Der Vollkommene Capellmeister [The Perfect Chapel Master] , it is intended to understand the thoughts of this period in music and be able to infer about Haydn\'s composition. Thus, by means of the confrontation of the ideas between the scholars who defend the existence of the musical Sturm und Drang and the 18th century treatises, verify the legitimacy of Sturm und Drang terminology in Haydn\'s musical context.

In this thesis, we study the optimal estimate of eigenvalue ratios £f_n/£f_m of the Sturm-Liouville equation with Dirichlet boundary conditions on (0, £k). In 2005, Horvath and Kiss [10] showed that £f_n/£f_m≤(n/m)^2 when the potential function q ≥ 0 and is a single-well function. Also this is an optimal upper estimate, for equality holds if and only if q = 0. Their result gives a positive answer to a problem posed by Ashbaugh and Benguria [2], who earlier showed that £f_n/£f_1≤n^2 when q ≥ 0. Here we first simplify the proof of Horvath and Kiss [10]. We use a modified Prufer substitutiony(x)=r(x)sin(£s£c(x)), y'(x)=r(x)£scos(£s£c(x)), where £s = ¡Ô£f. This modified phase seems to be more effective than the phases £p and £r that Horvath and Kiss [10] used. Furthermore our approach can be generalized to study the one-dimensional p-Laplacian eigenvalue problem. We show that for the Dirichlet problem of the equation -[(y')^(p-1)]'=(p-1)(£f-q)y^(p-1), where p > 1 and f^(p-1)=|f|^(p-1)sgn f =|f|^(p-2)f. The eigenvalue ratios satisfies £f_n/£f_m≤(n/m)^p, assuming that q(x) ≥ 0 and q is a single-well function on the domain (0, £k_p). Again this is an optimal upper estimate.

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Texte remanié de: Dissertation--Fachbereich Neuere deutsche Literatur- und Kunstwissenschaften--Marburg, 1976. / Bibliogr. p. 518-535.

Esta pesquisa se concentra na discussão acerca da utilização da terminologia Sturm und Drang no que se refere o repertório de Joseph Haydn escrito nas cercanias da década de 1770. Este período das composições de Haydn tem sido considerado como parte do movimento precursor do romantismo, que na literatura é denominado Sturm und Drang. Entretanto, existem algumas inconsistências na incorporação desta nomenclatura na música de Haydn. Desta forma, através do exame de preceptivas do século XVIII, destacando o tratado escrito por Johann Mattheson, Der Vollkommene Capellmeister [O Mestre de Capela Perfeito ] de 1739, se pretende recuperar o universo de referências musicais do compositor austríaco e reavaliar as suas composições inseridas na categoria Sturm und Drang. Através da consideração sobre os argumentos daqueles que defendem a existência do Sturm und Drang musical, visamos neste trabalho, por meio do confronto das ideias, avaliar a adequação da utilização do termo ao contexto musical de Joseph Haydn. / This research concentrates in the quarrel regarding the use of Sturm und Drang terminology commonly used to define Joseph Haydn\'s repertoire composed around 1770. This period of Haydn\'s composition has been considered as part of the literatute movement known as Sturm und Drang. However, there are some inconsistencies in the incorporation of this nomenclature in music. In such a way, through the examination of treatises from the 18th century , detaching the treaty written by Johann Mattheson, in 1739, Der Vollkommene Capellmeister [The Perfect Chapel Master] , it is intended to understand the thoughts of this period in music and be able to infer about Haydn\'s composition. Thus, by means of the confrontation of the ideas between the scholars who defend the existence of the musical Sturm und Drang and the 18th century treatises, verify the legitimacy of Sturm und Drang terminology in Haydn\'s musical context.

Orientador: Jose Bellandi Filho / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin / Made available in DSpace on 2018-07-15T03:55:20Z (GMT). No. of bitstreams: 1 Oliveira_EdmundoCapelasde_M.pdf: 755219 bytes, checksum: 80ba55e1d5a784ef3a819212b87f373f (MD5) Previous issue date: 1979 / Resumo: Não informado / Abstract: Not informed. / Mestrado / Física / Mestre em Física

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Student Number : 9804032J - PhD thesis - School of Mathematics - Faculty of Science / The focus of this thesis is the spectral structure of second order self-adjoint differential operators on graphs. Various function spaces on graphs are defined and we define, in terms of both differential systems and the afore noted function spaces, boundary value problems on graphs. A boundary value problem on a graph is shown to be spectrally equivalent to a system with separated boundary conditions. An example is provided to illustrate the fact that, for Sturm-Liouville operators on graphs, self-adjointness does not necessarily imply regularity. We also show that since the differential operators considered are self-adjoint the algebraic and geometric eigenvalue multiplicities are equal. Asymptotic bounds for the eigenvalues are found using matrix Pr¨ufer angle methods. Techniques common in the area of elliptic partial differential equations are used to give a variational formulation for boundary value problems on graphs. This enables us to formulate an analogue of Dirichlet-Neumann bracketing for boundary value problems on graphs as well as to establish a min-max principle. This eigenvalue bracketing gives rise to eigenvalue asymptotics and consequently eigenfunction asymptotics. Asymptotic approximations to the Green’s functions of Sturm-Liouville boundary value problems on graphs are obtained. These approximations are used to study the regularized trace of the differential operators associated with these boundary value problems. Inverse spectral problems for Sturm-Liouville boundary value problems on graphs resembling those considered in Halberg and Kramer, A generalization of the trace concept, Duke Math. J. 27 (1960), 607-617, for Sturm-Liouville problems, and Pielichowski, An inverse spectral problem for linear elliptic differential operators, Universitatis Iagellonicae Acta Mathematica XXVII (1988), 239-246, for elliptic boundary value problems, are solved. Boundary estimates for solutions of non-homogeneous boundary value problems on graphs are given. In particular, bounds for the norms of the boundary values of solutions to the non-homogeneous boundary value problem in terms of the norm of the non-homogeneity are obtained and the eigenparameter dependence of these bounds is studied. Inverse nodal problems on graphs are then considered. Eigenfunction and eigenvalue asymptotic approximations are used to provide an asymptotic expression for the spacing of nodal points on each edge of the graph from which the uniqueness of the potential, for given nodal data, is deduced. An explicit formula for the potential in terms of the nodal points and eigenvalues is given.