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math.CA2003
The Cauchy atlas on the manifold of all complete ODE solutions
P. Chladek, L. Klapka
In this paper the necessary and sufficient conditions for a mapping to be the dependence of the complete solution of some differentiable first-order ordinary differential equation…
math.CA2003
The functional formulation of second-order ordinary differential equations
P. Chladek
In this paper, the necessary and sufficient conditions in order that a smooth mapping F be a dependence of a complete solution of some second-order ordinary differential equation o…