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Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions

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Detalhes bibliográficos
Resumo:We prove the solvability of the parabolic problema … assuming certain conditions on the asymptotic behaviour of the ratio … with respect to the principal eigenvalue of the associated linear problem. The method of proof, which is based on the construction of upper and lower solutions, also yields information on the localization and the stability of the solution.
Autores principais:Grossinho, Maria do Rosário
Outros Autores:Omari, Pierpaolo
Assunto:Parabolic Equation Periodic Solution Hammerstein’s Condition Upper and Lower Solutions Existence Localization Stability
Ano:1999
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Lisboa
Idioma:inglês
Origem:Repositório da Universidade de Lisboa
Descrição
Resumo:We prove the solvability of the parabolic problema … assuming certain conditions on the asymptotic behaviour of the ratio … with respect to the principal eigenvalue of the associated linear problem. The method of proof, which is based on the construction of upper and lower solutions, also yields information on the localization and the stability of the solution.