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.
The monotone iterative technique for three-point second-order integrodifferential boundary value problems with -Laplacian.
The numerical solution of Volterra integro-functional equations
The stability of collocation methods for higher-order Volterra integro-differential equations.
Travelling-front solutions for integro-differential equations. I.
Truncated gradient flows of the van der Waals free energy.
Two-sided solutions of linear integrodifferential equations of Volterra type with delay