03501nam 22004935 450 991087468010332120260119124030.0978303160057910.1007/978-3-031-60057-9(CKB)32970616400041(MiAaPQ)EBC31529333(Au-PeEL)EBL31529333(DE-He213)978-3-031-60057-9(EXLCZ)993297061640004120240716d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierMonotone Nonautonomous Dynamical Systems /by David N. Cheban1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (475 pages)9783031600562 Poisson Stable Motions of Dynamical Systems -- Compact Global Attractors -- V-Monotone Nonautonomous Dynamical Systems -- Poisson Stable Motions and Global Attractors of Monotone Nonautonomous Dynamical Systems.The monograph present ideas and methods, developed by the author, to solve the problem of existence of Bohr/Levitan almost periodic (respectively, almost recurrent in the sense of Bebutov, almost authomorphic, Poisson stable) solutions and global attractors of monotone nonautonomous differential/difference equations. Namely, the text provides answers to the following problems: 1. Problem of existence of at least one Bohr/Levitan almost periodic solution for cooperative almost periodic differential/difference equations; 2. Problem of existence of at least one Bohr/Levitan almost periodic solution for uniformly stable and dissipative monotone differential equations (I. U. Bronshtein’s conjecture, 1975); 3. Problem of description of the structure of the global attractor for monotone nonautonomous dynamical systems;   4. The structure of the invariant/minimal sets and global attractors for one-dimensional monotone nonautonomous dynamical systems;   5. Asymptotic behavior of monotone nonautonomous dynamical systems with a first integral (Poisson stable motions, convergence, asymptotically Poisson stable motions and structure of the Levinson center (compact global attractor) of dissipative systems); 6. Existence and convergence to Poisson stable motions of monotone sub-linear nonautonomous dynamical systems. This book will be interesting to the mathematical community working in the field of nonautonomous dynamical systems and their applications (population dynamics, oscillation theory, ecology, epidemiology, economics, biochemistry etc). The book should be accessible to graduate and PhD  students who took courses in real analysis (including the elements of functional analysis, general topology) and with general background in dynamical systems and qualitative theory of differential/difference equations. .DynamicsDynamical SystemsOperadors monòtonsthubSistemes dinàmics diferenciablesthubLlibres electrònicsthubDynamics.Dynamical Systems.Operadors monòtonsSistemes dinàmics diferenciables.515.39Cheban David N923903MiAaPQMiAaPQMiAaPQ9910874680103321Monotone Nonautonomous Dynamical Systems4183290UNINA