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Partial Difference Equations
Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables such as population size and stock price. It is helpful for anyone who has mastered undergraduate mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference equations.
Lyapunov Inequalities and Applications
This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic. In an elegant and didactic way, this work presents the concepts underlying Lyapunov-type inequalities, covering how they developed and what kind of problems they address. This survey starts by introducing basic applications of Lyapunov’s inequalities. It then advances towards even-order, odd-order, and higher-order boundary value problems; Lyapunov and Hartman-type inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities...
Analytic Solutions of Functional Equations
This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.
Proceedings of the First International Conference on Difference Equations
The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. Initially published in 2005.
Routledge Handbook of Imperial Chinese History
The resurgence of modern China has generated much interest, not only in the country’s present day activities, but also in its long history. As the only uninterrupted ancient civilization still alive today, the study of China’s past promises to offer invaluable insights into understanding contemporary China. Providing coverage of the entire Imperial Era (221 BCE–1912 CE), this handbook takes a chronological approach. It includes comprehensive analysis of all major periods, from the powerful Han empire which rivalled Rome, and the crucial transformative period of the Five Dynasties, to the prosperous Ming era and the later dominance of the non-Han peoples. With contributions from a team of international authors, key themes include: Political events and leadership Religion and philosophy Cultural and literary achievements Legal, economic, and military institutions This book transcends the traditional boundaries of historiography, giving special attention to the role of archaeology. As such, the Routledge Handbook of Imperial Chinese History is an indispensable reference work for students and scholars of Chinese, Asian, and World History.
The Encyclopedia of Martial Arts Movies
Now in Paperback! Early in 1971, Five Fingers of Death premiered in a New York movie theater. This was America's first look at a Chinese martial arts movie. In Chicago that same year, Duel of the Iron Fist debuted. With the release of Bruce Lee's films, the market exploded. And thus began America's love affair with what is one of the most misunderstood and maligned film genres. The Encyclopedia covers the genre from 1920 to 1994. The genre, however, can be very confusing: films often have several titles, and many of the stars have more than one pseudonym. In an effort to clarify some of the confusion, the authors have included all the information available to them on almost 3,300 films. Each entry includes a listing of the production company, the cast and crew, distributors, running times, reviews with star ratings whenever possible, and alternate film titles. A list of film series and one of the stars' pseudonyms, in addition to a 7,900 name index, are also included. Illustrated.
Difference and Differential Equations
This volume contains papers from the 7th International Conference on Difference Equations held at Hunan University (Changsa, China), a satellite conference of ICM2002 Beijing. The volume captures the spirit of the meeting and includes peer-reviewed survey papers, research papers, and open problems and conjectures. Articles cover stability, oscillation, chaos, symmetries, boundary value problems and bifurcations for discrete dynamical systems, difference-differential equations, and discretization of continuous systems. The book presents state-of-the-art research in these important areas. It is suitable for graduate students and researchers in difference equations and related topics.
