One-dimensional monotone nonautonomous dynamical systems

被引：0
|
作者：
David Cheban
机构：
[1] Moldova State University,Faculty of Mathematics and Computer Science, Laboratory of Fundamental and Applied Mathematics
来源：
Science China Mathematics | 2024年 / 67卷
关键词：
one-dimensional dynamics; pinched and minimal sets; global attractors; monotone nonautonomous cocycle; almost periodic solutions; scalar differential/difference equations; 34C12; 34C27; 34D45; 37B20; 37B55; 39A24; 39A33;
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学科分类号：
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, pinched and minimal sets is given. An application of our general results is given to scalar differential and difference equations.
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页码：281 / 314
页数：33
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