Weak and strong composition conditions for the Abel differential equation
F. Pakovich
TL;DR
This paper explores the conditions under which the Abel differential equation with trigonometric coefficients can be composed, establishing an equivalence between two forms of these conditions.
Contribution
It introduces a novel equivalence between weak and strong composition conditions for the Abel differential equation with trigonometric coefficients.
Findings
Established equivalence between two composition conditions
Clarified the structure of solutions for the Abel differential equation
Provided insights into the composition properties of trigonometric coefficients
Abstract
We establish an equivalence between two forms of the composition condition for the Abel differential equation with trigonometric coefficients.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Numerical methods for differential equations · Nonlinear Differential Equations Analysis