Existence of Gevrey solutions to some polynomially nonlinear functional differential equations
Hicham Zoubeir
TL;DR
This paper proves the existence of Gevrey class solutions for certain polynomially nonlinear functional differential equations under specific growth conditions on the data.
Contribution
It establishes the solvability in Gevrey classes for a class of nonlinear functional differential equations, extending previous results to broader growth conditions.
Findings
Existence of Gevrey solutions under growth conditions
Extension of solvability results to polynomially nonlinear equations
Conditions ensuring solutions belong to Gevrey classes
Abstract
Our aim in this paper is to prove, under some growth conditions on the datas, the solvability in a Gevrey class of a polynomially nonlinear functional differential equation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Differential Equations Analysis · Differential Equations and Numerical Methods · Numerical methods for differential equations