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An algebraic derivative associated to the operator $D^{δ}$

V. Almeida; N. Castro; J. Rodríguez — 2000

Banach Center Publications

In this paper we get an algebraic derivative relative to the convolution $(f * g) (t) = \int_{0}^{t} i f (t - ψ) g (ψ) d ψ$ associated to the operator $D^{δ}$ , which is used, together with the corresponding operational calculus, to solve an integral-differential equation. Moreover we show a certain convolution property for the solution of that equation

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An algebraic derivative associated to the operator D δ

An algebraic derivative associated to the operator $D^{δ}$