5 citations · 16 across the 4 of their papers we have counts for
5 papers
Vibration modes of the Euler-Bernoulli beam equation with singularities
Nuno Costa Dias, Cristina Jorge, João Nuno Prata
We consider the time dependent Euler--Bernoulli beam equation with discontinuous and singular coefficients. Using an extension of the Hörmander product of distributions with non-in…
An existence and uniqueness result about algebras of Schwartz distributions
Nuno Costa Dias, Cristina Jorge, Joao Nuno Prata
We prove that there exists essentially one {\it minimal} differential algebra of distributions $\A$, satisfying all the properties stated in the Schwartz impossibility result [L. S…
Ordinary differential equations with singular coefficients: an intrinsic formulation with applications to the Euler-Bernoulli beam equation
Nuno Costa Dias, Cristina Jorge, Joao Nuno Prata
We study a class of linear ordinary differential equations (ODE)s with distributional coefficients. These equations are defined using an {\it intrinsic} multiplicative product of S…
Ordinary differential equations with point interactions: An inverse problem
Nuno Costa Dias, Cristina Jorge, Joao Nuno Prata
Given a linear ordinary differential equation (ODE) on $\RE$ and a set of interface conditions at a finite set of points $I \subset \RE$, we consider the problem of determining ano…
One-dimensional Schrödinger operators with singular potentials: A Schwartz distributional formulation
Nuno Costa Dias, Joao Nuno Prata, Cristina Jorge
Using an extension of the Hörmander product of distributions, we obtain an intrinsic formulation of one-dimensional Schrödinger operators with singular potentials. This formulation…