Uniform trajectory attractor for non-autonomous reaction–diffusion equations with Caratheodory's nonlinearity

NV Gorban, OV Kapustyan, PO Kasyanov - Nonlinear Analysis: Theory …, 2014 - Elsevier
We consider the problem of uniform long-time behavior of all globally defined weak
solutions of a non-autonomous reaction–diffusion system with Carathéodory's nonlinearity …

Regularity of weak solutions and their attractors for a parabolic feedback control problem

PO Kasyanov, L Toscano, NV Zadoianchuk - Set-Valued and Variational …, 2013 - Springer
We investigate additional regularity properties of all globally defined weak solutions, their
global and trajectory attractors for a class of autonomous differential inclusion with upper …

Global attractors for multivalued semiflows with weak continuity properties

P Kalita, G Łukaszewicz - Nonlinear Analysis: Theory, Methods & …, 2014 - Elsevier
A method is proposed to prove the global attractor existence for multivalued semiflows with
weak continuity properties. An application to the reaction–diffusion problems with …

Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets

Y Xiao, M Liu, T Chen, N Huang - Science China Mathematics, 2022 - Springer
In this paper, we provide the stability analysis for an evolutionary variational-hemivariational
inequality in the reflexive Banach space, whose data including the constraint set are …

[PDF][PDF] REGULAR SOLUTIONS AND GLOBAL ATTRACTORS FOR REACTION-DIFFUSION SYSTEMS WITHOUT UNIQUENESS.

OV Kapustyan, PO Kasyanov… - Communications on Pure …, 2014 - researchgate.net
In this paper we study the structural properties of global attractors of multi-valued semiflows
generated by regular solutions of reaction-diffusion system without uniqueness of the …

[HTML][HTML] Lyapunov type functions for classes of autonomous parabolic feedback control problems and applications

MO Gluzman, NV Gorban, PO Kasyanov - Applied Mathematics Letters, 2015 - Elsevier
In this note we provide sufficient conditions for the existence of a Lyapunov function for a
class of parabolic feedback control problems. The results are applied to the long-time …

Lyapunov functions for differential inclusions and applications in physics, biology, and climatology

MO Gluzman, NV Gorban, PO Kasyanov - Continuous and Distributed …, 2015 - Springer
We investigate additional regularity properties of all globally defined weak solutions, their
global and trajectory attractors for classes of semi-linear parabolic differential inclusions with …

Прогнозування актуарних процесів за допомогою узагальнених лінійних моделей

ПІ Бідюк, СВ Трухан - Наукові вісті Національного технічного …, 2014 - irbis-nbuv.gov.ua
Прогнозування актуарних процесів за допомогою узагальнених лінійних моделей/ПІ
Бідюк, СВ Трухан//Наукові вісті Національного технічного університету України" …

[图书][B] Qualitative and quantitative analysis of nonlinear systems

MZ Zgurovsky, PO Kasyanov - 2018 - Springer
In an abstract form, the evolutional nonlinear system is a mathematical model that describes
how physical, chemical, biological, economic, or even mathematical phenomena evolve in …

Long-time behavior of state functions for Badyko models

NV Gorban, MO Gluzman, PO Kasyanov… - Advances in Dynamical …, 2016 - Springer
In this note we examine the long-time behavior of state functions for a climate energy
balance model (Budyko Model) in the strongest topologies of the phase and the extended …