Under Lipschitz continuity and a contraction condition, a second-order Volterra integrodifferential equation with nonlocal and boundary conditions has a unique solution that depends continuously on its data.
Muresan, A boundary value problem for some functional-differ ential equations, via Picard operators, Carpathian Journal of Mathematics (2007), 1 41–148
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Analysis of Volterra Integrodifferential Equations with Nonlocal and Boundary Conditions via Picard Operator
Under Lipschitz continuity and a contraction condition, a second-order Volterra integrodifferential equation with nonlocal and boundary conditions has a unique solution that depends continuously on its data.