Stability Theory of Dynamical Systems

From the reviews:
"This is an introductory book intended for beginning graduate students or, perhaps advanced undergraduates. ... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."
Mathematical Reviews, 1972
"The exposition is remarkably clear, definitions are separated explicitly, theorems are often provided together with the motivation for changing one or other hypothesis, as well as the relevance of certain generalisations... This study is an excellent review of the current situation for problems of stability of the solution of differential equations. It is addressed to all interested in non-linear differential problems, as much from the theoretical as from the applications angle."
Bulletin de la Société Mathématique de Belgique, 1975

• YellowSale2006
• autonomous differential equations
• dynamical systems
• metric spaces
• stability theory
• ordinary differential equations

From the reviews:

"The book presents a systematic treatment of the theory of dynamical systems and their stability written at the graduate and advanced undergraduate level. … The book is well written and contains a number of examples and exercises." (Alexander Olegovich Ignatyev, Zentralblatt MATH, Vol. 993 (18), 2002)

Biography of Nam Parshad Bhatia

Born in Lahore, India (now Pakistan) in 1932, Dr. Nam P. Bhatia studied physics and mathematics at Agra University. He then went to Germany and completed a doctorate in applied mathematics in Dresden in 1961.

After returning to India briefly, he came to the United States in 1962 at the invitation of Solomon Lefschetz. In the US, Dr. Bhatia held research and teaching positions at the Research Institute of Advanced Studies, Baltimore, MD, Case Western Reserve University, Cleveland, OH, and the University of Maryland Baltimore County (UMBC). He was instrumental in developing the graduate programmes in Applied Mathematics, Computer Science, and Statistics at UMBC.

Dr. Bhatia is currently Professor Emeritus at UMBC where he continues to pursue his research interests, which include the general theory of Dynamical and Semi-Dynamical  Systems with emphasis on Stability, Instability, Chaos, and Bifurcations.

 

Biography of Giorgio P. Szegö

Giorgio Szegö was born in Rebbio, Italy, on July 10, 1934. After his studies at the University of Pavia and at the Technische Hochschule Darmstadt, he joined the Research Institute of Advanced Studies in Baltimore in 1961.

From 1964 he held positions at the universities of Milano and Venice as well as several universities and research institutions in France, Spain, UK, and USA. He is currently Professor at the University of Roma "La Sapienza". Szegö's research contributions range from stability theory of ordinary differential equations to optimization theory.

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