9 citations · 24 across the 19 of their papers we have counts for
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math.CA2015
Steady-State Solutions in an Algebra of Generalized Functions
Todor D. Todorov
Formulas for the solutions of initial value problems for ordinary differential equations with singular -like driving terms are derived in the framework of an algebra of ge…
math.CA2008
A Lost Theorem: Definite Integrals in Asymptotic Setting
Ray Cavalcante, Todor D. Todorov
We present a simple yet rigorous theory of integration that is based on two axioms rather than on a construction involving Riemann sums. With several examples we demonstrate how to…
math.CA2006★ 2 cited
Existence and uniqueness of -asymptotic expantions and Colombeau's generalized numbers
Todor D. Todorov
We define a type of generalized asymptotic series called -asymptotic. We show that every function with moderate growth at infinity has a -asymptotic expansion. We also descri…