Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces
Linear boundary value type problems for functional-differential equations and their adjoints
Linear integro-differential equations in Banach spaces
Long-time dynamics of an integro-differential equation describing the evolution of a spherical flame.
This article is devoted to the study of a flame ball model, derived by G. Joulin, which satisfies a singular integro-differential equation. We prove that, when radiative heat losses are too important, the flame always quenches; when heat losses are smaller, it stabilizes or quenches, depending on an energy input parameter. We also examine the asymptotics of the radius for these different regimes.
Lyapunov stability solutions of fractional integrodifferential equations.