Abstract
Methods based on fixed mesh variational formulations for ordinary differential equations in presence of a possibly infinite number of impulses on the righthand side are presented. A simple transformation allows us to show that the problem can be treated as an ordinary differential equation. Existence and uniqueness results for the solution and approximation schemes with their error estimates are obtained.
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Dubeau, F., Ouansafi, A. & Sakat, A. Galerkin Methods for Nonlinear Ordinary Differential Equation with Impulses. Numerical Algorithms 33, 215–225 (2003). https://doi.org/10.1023/A:1025516122243
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DOI: https://doi.org/10.1023/A:1025516122243