Stability of the solutions of impulsive integro-differential equations in terms of two measures
Stability of Volterra system with impulsive effect.
Stable oscillations of weakly nonlinear Volterra integro-differential equations.
Study of Stability in Nonlinear Neutral Differential Equations with Variable Delay Using Krasnoselskii–Burton’s Fixed Point
In this paper, we use a modification of Krasnoselskii’s fixed point theorem introduced by Burton (see [Burton, T. A.: Liapunov functionals, fixed points and stability by Krasnoseskii’s theorem. Nonlinear Stud., 9 (2002), 181–190.] Theorem 3) to obtain stability results of the zero solution of the totally nonlinear neutral differential equation with variable delay The stability of the zero solution of this eqution provided that . The Caratheodory condition is used for the functions and .
Subexponential Solutions of Linear Volterra Difference Equations
We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations.
Sur la résolution numérique d'une équation intégro-différentielle singulière non linéaire de la chimie des surfaces
Sur l'existence des solutions d'une équation intégro-différentielle
Sur une transformation de la théorie des équations intégrales
Survival in a two-dimensional Lotka-Volterra system.
Terminal value problems of impulsive integro-differential equations in Banach spaces.
The approximate solution of nonlinear singular integro-differential equations.
This paper concerns the sufficient conditions for the applicability of the Newton-Kantorovich method to nonlinear singular integro-differential equation with Hilbert Kernel.
The asymptotic behavior of solutions to singularly perturbed nonlinear integro-differential equations.
The brachistochrone problem with frictional forces
The brachistochrone problem with frictional forces
In this paper we show the existence of the solution for the classical brachistochrone problem under the action of a conservative field in presence of frictional forces. Assuming that the frictional forces and the potential grow at most linearly, we prove the existence of a minimizer on the travel time between any two given points, whenever the initial velocity is great enough. We also prove the uniqueness of the minimizer whenever the given points are sufficiently close.
The dicretization of neutral functional integro-differential equations by collocation methods.
The existence and asymptotic behaviour of solutions of certain class of the integro-differential equations
The existence and exponential stability for random impulsive integrodifferential equations of neutral type.
The fundamental solutions for fractional evolution equations of parabolic type.
The generalized Gronwall inequality and its application to periodic solutions of integrodifferential impulsive periodic system on Banach space.