On the concept of Yosida distance and beyond

Người báo cáo: Bùi Xuân Quang (PHENIKAA University)

Thời gian: 9h30 ngày 16/09/2025

Địa điểm: Phòng 508, nhà A6, Viện Toán học

Tóm tắt: The aim of this talk is to introduce the concept of the Yosida distance between two unbounded linear operators and to present some recent results related to this notion. I will begin by recalling some known results on linear and nonlinear perturbations of exponential dichotomies. Afterwards, I will explain the ideas that motivated the definition of the Yosida distance. In the final part, I illustrate how this distance serves as a suitable tool for studying unbounded perturbations, with recent applications to linear partial functional differential equations, stability radii, and the well-posedness of linear evolution equations.

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Xuất bản mới
Nguyễn Huyền Mười, Vũ Ngọc Phát, New design of robust $H_\infty$ controllers for descriptor discrete time-varying delay equations with bounded disturbances, Transactions of the Institute of Measurement and Control, 48(2026), 87-97 (SCI(-E); Scopus) .
Lê Xuân Thanh, Lê Dũng Mưu, Nguyễn Văn Quý, A Dual Approach Based Extragradient-Type Method for Solving Quasi-Equilibrium Problems, Journal of Optimization Theory and Applications, Volume 208, article number 59, (2026) .
Vũ Thị Hướng, Ida Litzel, Thorsten Koch, Similarity-based fuzzy clustering scientific articles: Potentials and challenges from mathematical and computational perspectives, Journal of Nonlinear and Variational Analysis 10, 381-401 (2026). (SCI-E, Scopus) .