Natural Continuous Extensions of Runge-Kutta Methods for Volterra Integrodifferential Equations.
Neural networks with memory.
New existence results and comparison principles for impulsive integral boundary value problem with lower and upper solutions in reversed order.
New integral inequalities for iterated integrals with applications.
Noncommutative operational calculus.
Nonexistence of solutions for quasilinear elliptic equations with -growth in the gradient.
Nonlinear delay integral inequalities for piecewise continuous functions and applications.
Nonlinear integrodifferential equations of mixed type in Banach spaces.
Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition
The aim of the present paper is to investigate the global existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations, with nonlocal condition. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions.
Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces.
Nonnegative solutions of two-point boundary value problems for nonlinear second order integrodifferential equations in Banach spaces.
Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations
Nouvelles extensions des équations intégro-différentielles non linéaires de Volterra.
N-th order impulsive integro-differential equations in Banach spaces.
Numerical simulation of a point-source initiated flame ball with heat losses
This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Numerical simulation of a point-source initiated flame ball with heat losses
This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Numerical solutions of the nonlinear integro-differential equations.