Search results for ""author yan xia""

Historically, the theory of stability is based on linear differential systems, which are simple and important systems in ordinary differential equations. The research on differential equations and on the theory of stability will, to a certain extent, be influenced by the research on linear differential systems. For differential linear equation systems, there are still many historical open questions attracting mathematicians. This book deals with the theory of linear differential systems developed around the notion of exponential dichotomies. The first author advanced the theory of stability through his research in this field.Several new important results on linear differential systems are presented. They concern exponential dichotomy and the structure of the sets of hyperbolic points. The book has five chapters: Chapter 1 introduces some necessary classical results on the linear differential systems, and the following chapters discuss exponential dichotomy, spectra of almost periodic linear systems, the Floquet theory for quasi periodic linear systems and the structure of sets of hyperbolic points. This book is a very useful reference in the area of the stability theory of ordinary differential equations and the theory of dynamic systems.

Read more less

Designed for students who have completed at least two years of college Chinese, this thoroughly revised edition of All Things Considered bridges the gap between intermediate- and advanced-level Chinese. Lessons promote student discussion and include thought-provoking topics relevant to contemporary Chinese society, such as the increasing divisions between the rich and poor, the conflict between economic development and environmental protection, and changing attitudes toward sex and marriage. The first twelve lessons in the book are in dialogue form, while the remaining lessons are adapted from Chinese newspaper and magazine articles, exposing students to spoken and written styles of Chinese. Some topics appear in both the dialogues and articles sections, giving students ample opportunity for review and reinforcement, improving their overall grammar and vocabulary retention. With a new user-friendly format, All Things Considered juxtaposes text and vocabulary on adjacent pages. Grammar explanations and exercises have also been fully updated to meet student needs. * Third-year Chinese language textbook * Bridges the gap between the intermediate and advanced levels * Covers thought-provoking topics essential to contemporary Chinese society * Includes both dialogues and articles that reinforce grammar and vocabulary * Improved explanations and exercises * New user-friendly format

Read more less

Ladder Polymers An essential reference covering the latest research on ladder polymers Ladder polymers are a unique macromolecular architecture, consisting of a continuous strand of fused rings in their backbones. Such distinctive structures lead to a range of interesting thermal, optical, and electronic properties and self-assembly behaviors, which have been explored for various applications. The book Ladder Polymers: Synthesis, Properties, Applications, and Perspectives presents a collection of diverse topics in ladder polymers consisting of historical overview, state-of-the-art research and development, and potential future directions, written by leading researchers in the related fields. The topics include: Conjugated ladder polymers and graphene nanoribbons Nonconjugated microporous ladder polymers or polymers of intrinsic microporosity Covalent double-stranded polymers Supramolecular double-helical polymers and oligomers Two dimensional polymers This book is a one-stop resource on all the critical research developments in the subject of ladder polymers for broad readership including organic, polymer, and physical chemists, materials scientists and engineers, and chemical engineers.

Read more less