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The notion of integrator Processes of diffe
A linear integral operator and its properties
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a—ioo according Accordingly applied arbitrarily small positive assume asymptotic basic integrator boundary conditions branch-point Chapter coefficients commutative law complex integral deduced defined definition formula denote derivative differential equation double integral electromotive force employ equality expansion theorem explicit time function factor function F Green function Hence homogeneous equation identity imaginary axis integral equation integral kernel integral of definition integral operators integral theorem integrand integrational expression integrator F introduce inverse operator Jordan's lemma kernel linear loop modified integral notation obtain Obviously oo oo operational calculus operator F origin path of integration poles positive values primary function problem rational functions region residue calculus rest-term result right hand side rule small positive number solution symbolic method T+ioo tends to infinity tends to zero term by term uniform convergence uniformly unit-function variable vector voltage Volterra equation write x—ut x+ut