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This book is an ideal text for advanced undergraduate students and graduate students with an interest in the qualitative theory of ordinary differential equations and dynamical systems. Elementary knowledge is emphasized by the detailed discussions on the fundamental theorems of the Cauchy problem, fixed-point theorems (especially the twist theorems), the principal idea of dynamical systems, the nonlinear oscillation of Duffing's equation, and some special analyses of particular differential equations. It also contains the latest research by the author as an integral part of the book.

Gives an introduction to and a comprehensive study of the qualitative theory of ordinary differential equations. This title begins with fundamental theorems on existence, uniqueness, and initial conditions, and discusses basic principles in dynamical syste

This book gathers the outcomes of various, extensive research efforts on building a moderately prosperous society in minority areas, which would allow China’s poor and poverty-stricken areas to comprehensively join the rest of society. Offering an essential reference guide, the book will help readers understand the process, achievements, problems, and future development with regard to building a moderately prosperous society in the new era.