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In AD 101 the Roman Empire undertook the largest military campaign in its history: Trajan's Dacian Wars. It was followed by the Roman colonization of Dacia, the greatest colonization effort in antiquity, and what would be the first step in the making of the Romanian people. Yet, less than 200 years later, Rome would have to abandon Dacia, along with its hundreds of thousands of colonists, due to an unprecedented onslaught of barbarian invasions. This book covers the fate of those left behind, how they survived the fall of the empire and adapted to barbarian rule. How these Roman colonists,...

This volume, which coincides with the centennial anniversary of the publication of the celebrated monograph The General Problem of the Stability Motion by A.M. Liapunov, reviews the current state of the art of the theory and applications of the Liapunov methods.

The year 1992 marks the centennial anniversary of publication of the celebrated monograph "The General Problem of Stability of Motion" written by A. M. Liapunov. This anniversary inspires to think about the way theory and applications have developed during this century. The first observation one can make is that the so-called "second method", nowadays known as the "Liapunov function method", has received more attention than the "first method"; let us also mention the study of critical cases, which brought more attention recently in connection with the study of bifurcations and with nonlinear...