Numerical experiments performed with an exponential finite difference method in equally-spaced and piecewise-uniform meshes for both the inner and the outer layers and with an implicit Runge-Kutta-Radau IIA method for the outer layer of singularly-perturbed Volterra integro-differential equations are reported. The exponential finite difference technique is based on piecewise linear approximatio...

This paper deals with the uniform exponential stabilization of a hybrid PDE}ODE system which describes an overhead crane with #exible cable. A previous linear boundary feedback law (see d'AndreH a-Novel, Boustany, Conrad & Rao (1994). MCSS Journal, 1, 1}22) depending on the platform position and velocity and on the angular displacement of the cable at the connection point to the platform, led t...

the main purpose of this paper is to establish some new results onthe superstability and stability via a fixed point approach forthe pexiderized exponential equation, i.e.,$$|f(x+y)-g(x)h(y)|leq psi(x,y),$$where $f$, $g$ and $h$ are three functions from an arbitrarycommutative semigroup $s$ to an arbitrary unitary complex banachalgebra and also $psi: s^{2}rightarrow [0,infty)$ is afunction. fur...