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Analytic solutions to nonlocal abstract equations

Marina Ghisi — 2003

Bollettino dell'Unione Matematica Italiana

In this paper we study the problem of existence of global solutions for some classes of abstract equations, that generalize some type of Klein-Gordon equations, with nonlinear nonlocal terms of Kirchhoff type. We find some conditions that guarantee the existence of such solutions whether in presence or in absence of a conserved energy.

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