國立虎尾科技大學 |

Monotone nonautonomous dynamical systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Monotone nonautonomous dynamical systems/ by David N. Cheban.
作者:	Cheban, David N.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xix, 460 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Dynamical Systems. -
電子資源:	https://doi.org/10.1007/978-3-031-60057-9
ISBN:	9783031600579

Monotone nonautonomous dynamical systems
Cheban, David N.

Monotone nonautonomous dynamical systems[electronic resource] /by David N. Cheban. - Cham :Springer Nature Switzerland :2024. - xix, 460 p. :ill., digital ;24 cm.

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.

ISBN: 9783031600579

Standard No.: 10.1007/978-3-031-60057-9doiSubjects--Topical Terms:

1366074
Dynamical Systems.

LC Class. No.: QA614.8

Dewey Class. No.: 515.39

Monotone nonautonomous dynamical systems
LDR:03013nam a2200325 a 4500 001 1134259
003 DE-He213
005 20240716125251.0
006 m d
007 cr nn 008maaau
008 241213s2024 sz s 0 eng d
020 $a 9783031600579 $q (electronic bk.)
020 $a 9783031600562 $q (paper)
024 7 $a 10.1007/978-3-031-60057-9 $2 doi
035 $a 978-3-031-60057-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614.8
072 7 $a GPFC $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 515.39 $2 23
090 $a QA614.8 $b .C514 2024
100 1 $a Cheban, David N. $e author. $3 1313840
245 1 0 $a Monotone nonautonomous dynamical systems $h [electronic resource] / $c by David N. Cheban.
260 $a Cham : $c 2024. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xix, 460 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 1 4 $a Dynamical Systems. $3 1366074
650 0 $a Monotone operators. $3 672573
650 0 $a Differentiable dynamical systems. $3 528273
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-60057-9
950 $a Mathematics and Statistics (SpringerNature-11649)