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A generalized initial value problem for ODE's

Year: 2022

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2206.05769

Authors: García, Andrés, Lannes, Juan Andrés Roteta

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Universidad Tecnológica Nacional

OpenAlex ID: W4282940770

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