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A generalized initial value problem for ODE's

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arxiv 2206.05769 v1 pith:BEBXFJTP submitted 2022-06-12 math.DS

Andrés García , Juan Andrés Roteta Lannes This is my paper · ORCID
classification math.DS
keywords initialproblemsomeconditionsgeneralizedvalueallowsasymptotic
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This paper introduces, up to the author's knowledge, for the first time the generalized initial value problem. In this problem, given an ordinary differential equation defined in some set, the initial conditions are mapped to a subset of that domain. This generalization allows some systems to radically change their properties, in fact some obstructions to asymptotic stability are get rid of by mapping the initial conditions set using modularity.

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