Canonical form for a delay differential equation
DOI:
https://doi.org/10.15381/pesquimat.v26i1.24546Keywords:
canonical form, delay differential equation, Abel’s equation, iterative methodAbstract
In this work, a suitable change of variable is established that allows transforming a differential equation with non-constant delay into another differential equation with constant delay. The analysis of this change of variable leads to the Abel functional equation, whose study guarantees the existence and uniqueness of this change of variable; in addition, an iterative method for the construction of such solution is established.
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Copyright (c) 2023 Miriam Gisell Pescorán-Florencio, Roxana López-Cruz
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