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Nguyễn Hữu Sáu, Piyapong Niamsup, Vũ Ngọc Phát, Linear Programming Approach to Constrained Stabilization of Positive Differential-Difference Equations With Unbounded Delay, Optimal Control Applications and Methods, 2025; 46:2581--2594 (SCI-E, Scopus) .
Đỗ Hoàng Sơn, Vũ Đức Việt, Quantitative stability for the complex Monge-Ampère equations II, Calculus of Variations and Partial Differential Equations 64 (2025), no. 8, Paper No. 269 (SCI-E, Scopus) .
Giang Trung Hiếu, Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model, Journal of Engineering Mathematics, Volume 151, article number 5, (2025) (SCI-E, Scopus) .

Polyhedra, functional analysis and approximation theory

Người báo cáo: David Yost (Federation University Australia)

Time: 9:00 - 10:00 AM, October 24th, 2023 (Tuesday)

Location: Room 612, building A6, Institute of Mathematics (18 Hoang Quoc Viet, Cau Giay, Hanoi)

Abstract: This talk will focus on some combinatorial properties of polytopes (a polytope is the convex hull of a finite set). For example, given natural numbers d, v, e, is there a d-dimensional polytope with v vertices and e edges? Surprisingly perhaps, this is impossible if 2e-dv lies in either of the intervals [1,d-3] or [d+3,2d-7].

Our interest in polytopes originally arose from a problem about approximation in Banach spaces. We will begin by briefly outlining this history, demonstrating the underlying unity of different branches of mathematics.