On integro-differential algebras

Differential Algebras on Semigroup Algebras

This paper studies algebras of operators associated to a semigroup algebra. The ring of differential operators is shown to be anti-isomorphic to the symmetry algebra and both are described explicitly in terms of the semigroup. As an application, we produce a criterion to determine the equivalence of A-hypergeometric systems. Conditions under which associated algebras are finitely generated are ...

Integro - Differential Stochastic Resonance

A new class of stochastic resonator (SRT) and Stochastic Resonance (SR) phenomena are described. The new SRT consist of a classical SRT, one or more time derivative circuits and the same number of time integrators. The incoming signal with additive noise is first time derivated, then passes through the classical SRT and finally it is time integrated. The resulting SR phenomena show a well defin...

Integro - Partial Differential

We consider an approximation scheme for integro-partial differential equations which arise in the theory of linear viscoelas-ticity. This scheme is based on a modiication (to account for the singular kernel) of certain averaging type approximation methods for delay equations. We use this scheme to investigate the eeects of a history parameter (the delay length) on the behavior of the eigenvalue...

On a class of integro-differential problems

Nonlinear Integro - Differential Equations