Abstract
Existence of solutions is shown for equations of the type $Av + B( KGv,v) = f$, where $A$, $B$ and $G$ are possibly nonlinear operators acting on a Banach space $V$, and $K$ is a Volterra operator of convolution type. The proof relies on the convergence of a suitable time discretization scheme.
Citation
Etienne Emmrich. Guy Vallet. "On a nonlinear abstract Volterra equation." J. Integral Equations Applications 28 (1) 75 - 89, 2016. https://doi.org/10.1216/JIE-2016-28-1-75
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