An algebraic derivative associated to the operator $D^δ$
Tom 53 / 2000
                    
                    
                        Banach Center Publications 53 (2000), 71-78                    
                                        
                        DOI:                     
                                    
                                                Streszczenie
In this paper we get an algebraic derivative relative to the convolution $(f*g) (t)=∫_0^ti f(t-ψ)g(ψ)dψ$ 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
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            