6 papers · 1 filter
Differential inclusions and quasi-Lyapunov functions
Martin Ivanov, Mikhail Krastanov, Nadezhda Ribarska
A sufficient condition for existence of a solution of a differential inclusion with a uniformly bounded right-hand side that has nonempty closed (possibly nonconvex) values is obta…
Characterizations of some transversality-type properties
Stoyan Apostolov, Mira Bivas, Nadezhda Ribarska
Primal characterizations (necessary and sufficient conditions) and slope characterizations of subtransversality, intrinsic transversality and transversality are obtained. The metri…
On strong tangential transversality
Mira Bivas, Mikhail Krastanov, Nadezhda Ribarska
This is the second of two closely related papers on transversality. Here we introduce the notion of strong tangential transversality of two closed subsets of a Banach space which i…
On tangential transversality
Mira Bivas, Mikhail Krastanov, Nadezhda Ribarska
This is the first of two closely related papers on transversality. Here we introduce the notion of tangential transversality of two closed subsets of a Banach space. It is an inter…
Properties of uniform tangent sets and Lagrange multiplier rule
Mira Bivas, Nadezhda Ribarska, Mladen Valkov
The concept of uniform tangent sets was introduced and discussed in [3 - Krastanov, Ribarska, SIAM J. Control Optim., 55(3), 2017]. This study is devoted to their further investiga…
Projection process with definable right-hand side
Mira Bivas, Nadezhda Ribarska
We study the relation between sweeping processes with the cone of limiting normals and projection processes. We prove the existence of solution of a perturbed sweeping process with…