Linearized stability for semilinear Volterra integral equations
The authors considers, semilinear Volterra integral equations of the form \([u(t) = \int^ t_ 0 a(t-s) (L+F) u(s)ds + x,\qquad t \geq 0,]\) generalizes the well-known principle of linearized stability for differential equations to integral equations, and establishes the local asymptotic stability of equilibrium points.
scientific article; zbMATH DE number 716214