One-dimensional monotone nonautonomous dynamical systems  

作　　者：David Cheban 

机构地区：[1]Faculty of Mathematics and Computer Science,Laboratory of Fundamental and Applied Mathematics,Moldova State University,Chisinau 2009,Moldova

出　　处：《Science China Mathematics》2024年第2期281-314,共34页中国科学（数学）（英文版）

基　　金：supported by the State Program of the Republic of Moldova “Multivalued Dynamical Systems, Singular Perturbations, Integral Operators and Non-Associative Algebraic Structures (Grant No. 20.80009.5007.25)”

摘　　要：This work is devoted to the study of the dynamics of one-dimensional monotone nonautonomous(cocycle) dynamical systems. A description of the structures of their invariant sets, omega limit sets,Bohr/Levitan almost periodic and almost automorphic motions, global attractors, and pinched and minimalsets is given. An application of our general results is given to scalar differential and difference equations.

关 键 词：one-dimensional dynamics pinched and minimal sets global attractors monotone nonautonomous cocycle almost periodic solutions scalar differential/difference equations 

分 类 号：O19[理学—数学]