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Nonautonomous Dynamics

Nonautonomous Dynamics

David N. Cheban

Springer Nature Switzerland AG
2021
nidottu
This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers inin the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).
Monotone Nonautonomous Dynamical Systems

Monotone Nonautonomous Dynamical Systems

David N. Cheban

Springer International Publishing AG
2024
sidottu
The monograph present ideas and methods, developed by the author, to solve the problem of existence of Bohr/Levitan almost periodic (respectively, almost recurrent in the sense of Bebutov, almost authomorphic, Poisson stable) solutions and global attractors of monotone nonautonomous differential/difference equations. Namely, the text provides answers to the following problems: 1. Problem of existence of at least one Bohr/Levitan almost periodic solution for cooperative almost periodic differential/difference equations; 2. Problem of existence of at least one Bohr/Levitan almost periodic solution for uniformly stable and dissipative monotone differential equations (I. U. Bronshtein’s conjecture, 1975); 3. Problem of description of the structure of the global attractor for monotone nonautonomous dynamical systems; 4. The structure of the invariant/minimal sets and global attractors for one-dimensional monotone nonautonomous dynamical systems; 5. Asymptotic behavior of monotone nonautonomous dynamical systems with a ?rst integral (Poisson stable motions, convergence, asymptotically Poisson stable motions and structure of the Levinson center (compact global attractor) of dissipative systems); 6. Existence and convergence to Poisson stable motions of monotone sub-linear nonautonomous dynamical systems. This book will be interesting to the mathematical community working in the field of nonautonomous dynamical systems and their applications (population dynamics, oscillation theory, ecology, epidemiology, economics, biochemistry etc). The book should be accessible to graduate and PhD students who took courses in real analysis (including the elements of functional analysis, general topology) and with general background in dynamical systems and qualitative theory of differential/difference equations.
History of New Britain, with sketches of Farmington and Berlin, Connecticut. 1640-1889
This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.
Global Attractors Of Non-autonomous Dissipative Dynamical Systems

Global Attractors Of Non-autonomous Dissipative Dynamical Systems

David N Cheban

World Scientific Publishing Co Pte Ltd
2004
sidottu
The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations. Intended for experts in qualitative theory of differential equations, dynamical systems and their applications, this accessible book can also serve as an important resource for senior students and lecturers.
Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition)
The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.
Neighboring Faiths

Neighboring Faiths

David Nirenberg

University of Chicago Press
2014
sidottu
Christianity, Judaism, and Islam are usually treated as autonomous religions, but in fact across the long course of their histories the three religions have developed in interaction with one another. The author examines how Muslims, Christians, and Jews lived with and thought about each other during the Middle Ages and what the medieval past can tell us about how they do so today. There have been countless scripture-based studies of the three "religions of the book," but Nirenberg goes beyond those to pay close attention to how the three religious neighbors loved, tolerated, massacred, and expelled each other-all in the name of God-in periods and places both long ago and far away. Nirenberg argues that the three religions need to be studied in terms of how each affected the development of the others over time, their proximity of religious and philosophical thought as well as their overlapping geographics, and how the three "neighbors" define-and continue to define-themselves and their place in terms of one another. From dangerous attractions leading to interfaith marriage; to interreligious conflicts leading to segregation, violence, and sometimes extermination; to strategies for bridging the interfaith gap through language, vocabulary, and poetry, Nirenberg aims to understand the intertwined past of the three faiths as a way for their heirs to produce the future-together.
Neighboring Faiths

Neighboring Faiths

David Nirenberg

University of Chicago Press
2016
nidottu
Christianity, Judaism, and Islam are usually treated as autonomous religions, but in fact across the long course of their histories the three religions have developed in interaction with one another. In Neighboring Faiths, David Nirenberg examines how Muslims, Christians, and Jews lived with and thought about each other during the Middle Ages and what the medieval past can tell us about how they do so today. There have been countless scripture-based studies of the three "religions of the book," but Nirenberg goes beyond those to pay close attention to how the three religious neighbors loved, tolerated, massacred, and expelled each other-all in the name of God-in periods and places both long ago and far away. Nirenberg argues that the three religions need to be studied in terms of how each affected the development of the others over time, their proximity of religious and philosophical thought as well as their overlapping geographies, and how the three "neighbors" define-and continue to define-themselves and their place in terms of one another. From dangerous attractions leading to interfaith marriage; to interreligious conflicts leading to segregation, violence, and sometimes extermination; to strategies for bridging the interfaith gap through language, vocabulary, and poetry, Nirenberg aims to understand the intertwined past of the three faiths as a way for their heirs to produce the future-together.
Narratives and Spaces

Narratives and Spaces

David Nye

Columbia University Press
1998
sidottu
Early Christians used charges of adultery, incest, and lascivious behavior to demonize their opponents, police insiders, resist pagan rulers, and define what it meant to be a Christian. Christians frequently claimed that they, and they alone were sexually virtuous, comparing themselves to those marked as outsiders, especially non-believers and "heretics," who were said to be controlled by lust and unable to rein in their carnal desires. True or not, these charges allowed Christians to present themselves as different from and morally superior to those around them. Through careful, innovative readings, Jennifer Knust explores the writings of Paul, Justin Martyr, Irenaeus of Lyons, and other early Christian authors who argued that Christ alone made self-mastery possible. Rejection of Christ led to both immoral sexual behavior and, ultimately, alienation and punishment from God. Knust considers how Christian writers participated in a long tradition of rhetorical invective, a rhetoric that was often employed to defend status and difference. Christians borrowed, deployed, and reconfigured classical rhetorical techniques, turning them against their rulers to undercut their moral and political authority. Knust also examines the use of accusations of licentiousness in conflicts between rival groups of Christians. Portraying rival sects as depraved allowed accusers to claim their own group as representative of "true Christianity." Knust's book also reveals the ways in which sexual slurs and their use in early Christian writings reflected cultural and gendered assumptions about what constituted purity, morality, and truth. In doing so, Abandoned to Lust highlights the complex interrelationships between sex, gender, and sexuality within the classical, biblical, and early-Christian traditions.
Drink?: The New Science of Alcohol and Health
From a world-renowned authority on alcohol abuse, a book that exposes the side effects drinking imposes on our overall health-and how we can moderate our consumption. From after-work happy hour to a nightly glass of wine, we're used to thinking of alcohol as a normal part of our daily lives. In Drink?, neuropharmacology professor David Nutt takes a fascinating, science-based look at drinking to unpack why we should reconsider our favorite pastime. Nutt addresses topics such as hormones, mental health, fertility, and addiction, explaining how alcohol effects us even after it leaves our systems. With accessible language, Nutt ensures that readers recognize why alcohol can have such a negative influence on our bodies and our society. Drink? gives readers clear, evidence-based facts to help them make the most informed choices about their alcohol intake.
Sweet Sorrow: The Long-Awaited New Novel from the Best-Selling Author of One Day
From the best-selling author of One Day comes a bittersweet and brilliantly funny coming-of-age tale about the heart-stopping thrill of first love--and how just one summer can forever change a life. Now: On the verge of marriage and a fresh start, thirty-eight year old Charlie Lewis finds that he can't stop thinking about the past, and the events of one particular summer. Then: Sixteen-year-old Charlie Lewis is the kind of boy you don't remember in the school photograph. He's failing his classes. At home he looks after his depressed father--when surely it should be the other way round--and if he thinks about the future at all, it is with a kind of dread. But when Fran Fisher bursts into his life and despite himself, Charlie begins to hope. In order to spend time with Fran, Charlie must take on a challenge that could lose him the respect of his friends and require him to become a different person. He must join the Company. And if the Company sounds like a cult, the truth is even more appalling: The price of hope, it seems, is Shakespeare, Romeo and Juliet learned and performed in a theater troupe over the course of a summer. Now: Charlie can't go the altar without coming to terms with his relationship with Fran, his friends, and his former self. Poignant, funny, enchanting, devastating, Sweet Sorrow is a tragicomedy about the rocky path to adulthood and the confusion of family life, a celebration of the reviving power of friendship and that brief, searing explosion of first love that can only be looked at directly after it has burned out.
Farming Systems In The Nigerian Savanna
This book embodies work stretching over a fifteen year period. As a result· inevitably we are greatly indebted to a number of institutions and a large number of individuals. Over the years considerable administrative and financial help was provided by the Institute for Agricultural Research, Ahmadu Bello University, the Ministries of Agriculture and Natural Resources in the northern states of Nigeria, the Ford Foundation, and more recently, Kansas State University.