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Displaying similar documents to “Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory.”

Global existence for functional semilinear integro-differential equations

Sotiris K. Ntouyas (1998)

Archivum Mathematicum

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In this paper, we study the global existence of solutions for first and second order initial value problems for functional semilinear integrodifferential equations in Banach space, by using the Leray-Schauder Alternative or the Nonlinear Alternative for contractive maps.