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arXiv · 1403.5955

Existence Results for Some Damped Second-Order Volterra Integro-Differential Equations

Toka Diagana
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Abstract

In this paper we make a subtle use of operator theory techniques and the well-known Schauder fixed-point principle to establish the existence of pseudo-almost automorphic solutions to some second-order damped integro-differential equations with pseudo-almost automorphic coefficients. In order to illustrate our main results, we will study the existence of pseudo-almost automorphic solutions to a structurally damped plate-like boundary value problem.

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Toka Diagana. 2014-03-24. Existence Results for Some Damped Second-Order Volterra Integro-Differential Equations. https://arxiv.org/abs/1403.5955

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