Аннотация:
В заметке изучается связь между равномерной асимптотической устойчивостью
и степенной или экспоненциальной асимптотикой решений бесконечномерных систем
(дифференциальных уравнений в банаховых пространствах, функционально-дифференциальных уравнений, вполне разрешимых многомерных дифференциальных уравнений).
Библиография: 18 названий.
David Cheban, “Global asymptotic stability of generalized homogeneous dynamical systems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2023, no. 2, 52–82
Cheban D., “Nonautonomous Dynamics, Nonlinear Oscillations and Global Attractors”, Nonautonomous Dynamics, Nonlinear Oscillations and Global Attractors, Springer Monographs in Mathematics, Springer International Publishing Ag, 2020, 1–434
Cheban D.N., “Nonautonomous Dynamics Nonlinear Oscillations and Global Attractors Preface”: Cheban, DN, Nonautonomous Dynamics, Nonlinear Oscillations and Global Attractors, Springer Monographs in Mathematics, Springer International Publishing Ag, 2020, VII+
Boularas D., Cheban D., “Asymptotic Stability of Switching Systems”, Electron. J. Differ. Equ., 2010, 21
D. Cheban, C. Mammana, “Absolute Asymptotic Stability of Discrete Linear Inclusions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2005, no. 1, 43–68
Cheban, D, “Relation between different types of global attractors of set-valued nonautonomous dynamical systems”, Set-Valued Analysis, 13:3 (2005), 291
D. Cheban, C. Mammana, “Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 3, 41–52
Cheban D.N., “Uniform Exponential Stability of Linear Almost Periodic Systems in Banach Spaces”, Electron. J. Differ. Equ., 2000, 29