On estimation of solutions of neutral type systems on nonclosed sets
G. M. Sklyar, P. Polak
TL;DR
This paper provides a precise norm estimation for solutions of neutral type differential systems with distributed delay on nonclosed sets, using spectral analysis and Riesz basis theory, and discusses their stability properties.
Contribution
It introduces a new method for estimating solutions of neutral type systems on nonclosed sets using spectral analysis and Riesz basis theory.
Findings
Derived precise norm estimates for solutions
Analyzed stability properties of solutions
Applied spectral analysis and Riesz basis theory
Abstract
We consider a differential system of neutral type with distributed delay. We obtain a precise norm estimation of solutions of the system in question on some nonclosed set. Our result is based on a spectral analysis of the operator and Riesz basis theory. We also discuss the stability properties of corresponding solutions.
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
TopicsDifferential Equations and Boundary Problems · Advanced Computational Techniques in Science and Engineering · Optimization and Variational Analysis