Abstract Cauchy Problem
Mostrando 1-11 de 11 artigos, teses e dissertações.
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1. Hankel transformation method for solving the Westergaard problem for point, line and distributed loads on elastic half-space
Abstract The Hankel transformation method was used in this work to determine the normal and shear stress distributions due to point, line and distributed loads applied to the surface of an elastic media. The elastic media considered in this study was assumed to be inextensible in the horizontal directions, and the only non-vanishing displacement component is
Lat. Am. j. solids struct.. Publicado em: 04/02/2019
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2. Superposition of Stress Fields in Diametrically Compressed Cylinders
Abstract The theoretical analysis for the Brazilian test is a classical plane stress problem of elasticity theory, where a vertical force is applied to a horizontal plane, the boundary of a semi-infinite medium. Hypothesizing a normal radial stress field, the results of that model are correct. Nevertheless, the superposition of three stress fields, with two
Lat. Am. j. solids struct.. Publicado em: 2016-10
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3. Funções s-assintoticamente periódicas em espaços de Banach e aplicações à equações diferenciais funcionais / S-asymptotically periodic functions on Banach spaces and applications for functional differential equations
This work is devoted to the study of the class of continuous and bounded functions f : [0 INFINIT) ARROWX for which there exists omega>0 such that limt IND.t ARROWINFINIT(f(t + omega!) - f(t)) = 0 (in the sequel called S-asymptotically !-periodic functions). We discuss qualitative properties and establish some relationships between this type of functions and
Publicado em: 2009
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4. O problema de Cauchy para um sistema de equações do tipo Schrodinger não linear de terceira ordem / The Cauchy problem associated to a system of coupled third-order nonlinear Schrodinger equation
In this work we study the Cauchy problem associated to a system of coupled third-order nonlinear Schrodinger equation. We establish local well-posedness results for the problem with data in Sobolev spaces Hs(R) x Hs(R), s >or = 1/4 and in the periodic case Hs(T)xHs(T), s >or = 1/2. In the particular case ... Note: The complete abstract is available with the
Publicado em: 2007
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5. Teoria de semigrupos e aplicações a equações impulsivas com retardamento dependendo do estado / Semigroup theory and applications to impulsive differential equation with state-dependent delay
In this work we stablish the existence of mild solutions for an impulsive abstract functional differential equation with state-dependent delay described in the form x POT. PRIME(t) = Ax(t) + f(t;x IND. p(t, xt)), t BELONGSI = [0,a], x IND. 0=\varphi IS CONTAINEDB, DELTAx(t IND. i) = I IND.ii(x IND.i); i = 1, ...n, where A is the infinitesimal generator of a
Publicado em: 2006
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6. A Singular Abstract Cauchy Problem*
In this note a singular abstract Cauchy problem is considered. A solution is obtained for this problem in terms of a regular abstract Cauchy problem. As an application we obtain a new solution of the initial value problem for a class of singular partial differential equations.
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7. New Integral Representations for Solutions of Cauchy's Problem for Abstract Parabolic Equations
A study has been made of Cauchy's problem for a class of abstract parabolic differential equations. Our study is based upon a transformation that maps solutions of second-order abstract Cauchy problems into solutions of first-order. This is a preliminary report on some of the results obtained. These results include (1) new representations for solutions of ab
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8. A Perturbation Series for Cauchy's Problem for Higher-Order Abstract Parabolic Equations
The application of Phillips' perturbation theorem to Cauchy's problem for higher-order parabolic equations is justified by an argument from the theory of Fourier transforms of entire functions.
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9. A NOTE ON THE ABSTRACT CAUCHY PROBLEM*
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10. Local analytic hypoellipticity for □b on nondegenerate Cauchy—Riemann manifolds
The local real analytic regularity of solutions to □b, the complex boundary Laplacian, and related operators is proved for (p,q) forms on a nondegenerate, abstract, real analytic Cauchy-Riemann (C-R) manifold of dimension 2n - 1 satisfying J. J. Kohn's condition Y(q). The problem is reduced to the study of general, “variable coefficient” operators, sat
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11. DIRECT SOLUTION OF GENERAL ONE-DIMENSIONAL LINEAR PARABOLIC EQUATION VIA AN ABSTRACT PLANCHEREL FORMULA
We use the formalism of Fourier transformation to derive a functional calculus for the generator of an abstract group. As an application we obtain a new direct solution of Cauchy's problem for one-dimensional stationary parabolic equations of arbitrary order with bounded coefficients.