Artigos Científicos - FAMAT/ICEN
URI Permanente para esta coleçãohttps://repositorio.ufpa.br/handle/2011/3891
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Item Acesso aberto (Open Access) Discussões sobre a Relação entre Limite e Continuidade de uma Função: investigando Imagens Conceituais(Universidade Federal do Pará, 2015-12) MESSIAS, Maria Alice de Vasconcelos Feio; QUARESMA, João Cláudio BrandembergThis paper presents the results of an investigation that was made with university students enrolled in the 3rd and 4 th semester of graduation in mathematics at two public universities in the state of Pará (Brazil). We aimed to investigate the concept image of these subjects about the relation between limit and continuity of a function, through an exploratory study done in two stages. The results were related to the researches of Tall and Vinner (1981), Vinner (1991) that composed our theoretical framework. Among the evoked concept images, we emphasize the idea that when a function is not defined in one point of the domain implies, necessarily, in the non-existence of the limit of that function in that point. That is, according to them, the limit’s existence depends on the continuity of the function.Item Acesso aberto (Open Access) Approximate controllability for the semilinear heat equation in RN involving gradient terms(2003) MENEZES, Silvano Dias Bezerra deWe prove the approximate controllability of the semilinear heat equation in RN, when the nonlinear term is globally Lipschitz and depends both on the state u and its spatial gradient Ñu. The approximate controllability is viewed as the limit of a sequence of optimal control problems. In order to avoid the difficulties related to the lack of compactness of the Sobolev embeddings, we work with the similarity variables and use weighted Sobolev spaces.Item Acesso aberto (Open Access) Finite approximate controllability for semilinear heat equations in noncylindrical domains(2004-09) MENEZES, Silvano Dias Bezerra de; FERREL, Juan Bautista Límaco; MEDEIROS, Luiz Adauto da JustaWe investigate finite approximate controllability for semilinear heat equation in noncylindrical domains. First we study the linearized problem and then by an application of the fixed point result of Leray-Schauder we obtain the finite approximate controllability for the semilinear state equation.Item Acesso aberto (Open Access) A transmission problem for the Timoshenko system(2007) RAPOSO, Carlos Alberto; BASTOS, Waldemar Donizete; SANTOS, Mauro de LimaIn this work we study a transmission problem for the model of beams developed by S.P. Timoshenko [10]. We consider the case of mixed material, that is, a part of the beam has friction and the other is purely elastic. We show that for this type of material, the dissipation produced by the frictional part is strong enough to produce exponential decay of the solution, no matter how small is its size. We use the method of energy to prove exponential decay for the solution.Item Acesso aberto (Open Access) Periodic solutions for nonlinear telegraph equationvia elliptic regularization(2009) ARAÚJO, Geraldo Mendes de; GUZMÁN, Rogelio Daniel Benavides; MENEZES, Silvano Dias Bezerra deIn this work we are concerned with the existence and uniqueness of T -periodic weak solutions for an initial-boundary value problem associated with nonlinear telegraph equations typein a domain. Our arguments rely on elliptic regularization technics, tools from classical functional analysis as well as basic results from theory of monotone operators.