On a nonlinear abstract Volterra equation

Etienne Emmrich, Guy Vallet
2016 Journal of Integral Equations and Applications  
Existence of solutions is shown for equations of the type Av + B(KGv, v) = f , where A, B, 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. (2000) . Primary 45D05; Secondary 47J35, 65J08. Mathematics Subject Classification
doi:10.1216/jie-2016-28-1-75 fatcat:cr473fg5gzcyxjsvce6c4gxgge