Sufficient conditions are given for the existence, uniqueness and finite-dimensional approximation of the solution to a first-order infinite-dimensional vector differential equation. Given a suitable ...
Dynamical systems and differential equations form the backbone of many modern scientific and engineering endeavours, providing a robust mathematical framework to understand how complex phenomena ...
We introduce the concept of a weak symmetry group of a system of partial differential equations, that generalizes the "nonclassical" method introduced by Bluman and Cole for finding group-invariant ...
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