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We investigate a nonlinear viscoelastic equation with interior time-varying delay and nonlinear dissipative boundary feedback. Under suitable assumptions on the relaxation function and time-varying delay effect together with nonlinear dissipative boundary feedback, we prove the global existence of weak solutions and asymptotic behavior of the energy by using the Faedo-Galerkin method and the perturbed energy method, respectively. This result improves earlier ones in the literature, such as Kirane and Said-Houari (2011) and Ammari et al. (2010). Moreover, we give an positive answer to the open problem given by Kirane and Said-Houari (2011).
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Autonomy and independence movements. --- Québec (Province) --- History
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Social sciences --- Research. --- Canada --- Social conditions.
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Nationalism. --- Québec (Province) --- History.
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Social sciences --- Sociologists. --- Research. --- Study and teaching.
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Social sciences --- Research. --- Canada --- Québec (Province) --- Social conditions.
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Social sciences --- Research. --- Gérin, Léon,
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