Pietro Zecca's Books

Modeling Natural Phenomena via Cellular Nonlinear Networks

By: Angela Slavova,Pietro Zecca

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Modeling Natural Phenomena via Cellular Nonlinear Networks

By: Angela Slavova,Pietro Zecca

This book presents a study of neuroscience models and natural phenomena, such as tsunami waves and tornados. The first part discusses various mathematical models of tsunamis, including the Korteweg–de Vries equation, shallow water equations and the Camassa–Holm equation (CH). In order to study the dynamics of these models, the text uses the Cellular Nonlinear Networks (CNN) approach to discretize the governing equation using a suitable mathematical grid. The second part discusses some of the models arising in the field of neuroscience. It examines the Fitzhugh-Nagumo systems, which are very important for understanding the qualitative nature of nerve impulse propagation. The volume will be of interest to a wide-ranging audience, including PhD students, mathematicians, physicists, engineers and specialists in the domain of nonlinear waves and their applications.

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Page Count

220

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527507351

ISBN 13

9781527507357

Solution Sets of Differential Equations in Abstract Spaces

By: Robert Dragoni,Paolo Nistri,Pietro Zecca,Jack W Macki

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Solution Sets of Differential Equations in Abstract Spaces

By: Robert Dragoni,Paolo Nistri,Pietro Zecca,Jack W Macki

This book presents results on the geometric/topological structure of the solution set S of an initial-value problem x(t) = f(t, x(t)), x(0) =xo, when f is a continuous function with values in an infinite-dimensional space. A comprehensive survey of existence results and the properties of S, e.g. when S is a connected set, a retract, an acyclic set, is presented. The authors also survey results onthe properties of S for initial-value problems involving differential inclusions, and for boundary-value problems. This book will be of particular interest to researchers in ordinary and partial differential equations and some workers in control theory.

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Publisher

CRC Press

Published Date

ISBN 10

0582294509

ISBN 13

9780582294509

Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

By: Mikhail I. Kamenskii,Valeri V. Obukhovskii,Pietro Zecca

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Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

By: Mikhail I. Kamenskii,Valeri V. Obukhovskii,Pietro Zecca

The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.

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Page Count

245

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110870894

ISBN 13

9783110870893

Method of Guiding Functions in Problems of Nonlinear Analysis

By: Valeri Obukhovskii,Pietro Zecca,Nguyen Van Loi,Sergei Kornev

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Method of Guiding Functions in Problems of Nonlinear Analysis

By: Valeri Obukhovskii,Pietro Zecca,Nguyen Van Loi,Sergei Kornev

This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for “pure” mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.

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Page Count

189

Publisher

Springer

Published Date

ISBN 10

3642370705

ISBN 13

9783642370700

History of Venice: Books IX-XII

By: Pietro Bembo

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History of Venice: Books IX-XII

By: Pietro Bembo

Much of Bembo's work is devoted to the external affairs of Venice, principally conflicts with other European states and with the Turks in the East. The History of Venice was published after his death, in Latin and in his own Italian version. This edition, completed by this third volume, makes it available for the first time in English translation.

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Page Count

420

Publisher

Harvard University Press

Published Date

ISBN 10

0674022866

ISBN 13

9780674022867

Travels of Pietro Della Valle in India

From the Old English Translation of 1664

By: Pietro Della Valle

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Travels of Pietro Della Valle in India

From the Old English Translation of 1664

By: Pietro Della Valle

These lively letters from an educated Italian traveller to seventeenth-century India, published in 1892, are an important historical source.

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Page Count

282

Publisher

Cambridge University Press

Published Date

ISBN 10

1108013546

ISBN 13

9781108013543

Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

By: Mikhail I. Kamenskii,Valeri V. Obukhovskii,Pietro Zecca

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Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

By: Mikhail I. Kamenskii,Valeri V. Obukhovskii,Pietro Zecca

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Page Count

245

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110870894

ISBN 13

9783110870893

Modeling Natural Phenomena Via Cellular Nonlinear Networks

By: Angela Slavova,Pietro Zecca

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Modeling Natural Phenomena Via Cellular Nonlinear Networks

By: Angela Slavova,Pietro Zecca

This book presents a study of neuroscience models and natural phenomena, such as tsunami waves and tornados. The first part discusses various mathematical models of tsunamis, including the Korteweg-de Vries equation, shallow water equations and the Camassa-Holm equation (CH). In order to study the dynamics of these models, the text uses the Cellular Nonlinear Networks (CNN) approach to discretize the governing equation using a suitable mathematical grid. The second part discusses some of the models arising in the field of neuroscience. It examines the Fitzhugh-Nagumo systems, which are very important for understanding the qualitative nature of nerve impulse propagation.The volume will be of interest to a wide-ranging audience, including PhD students, mathematicians, physicists, engineers and specialists in the domain of nonlinear waves and their applications.

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Page Count

204

Published Date

ISBN 10

1527503658

ISBN 13

9781527503656

Solution Sets of Differential Equations in Abstract Spaces

By: Robert Dragoni,Paolo Nistri,Pietro Zecca,Jack W Macki

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Solution Sets of Differential Equations in Abstract Spaces

By: Robert Dragoni,Paolo Nistri,Pietro Zecca,Jack W Macki

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Publisher

CRC Press

Published Date

ISBN 10

0582294509

ISBN 13

9780582294509

Book's by Pietro Zecca

Modeling Natural Phenomena via Cellular Nonlinear Networks

Modeling Natural Phenomena via Cellular Nonlinear Networks

Solution Sets of Differential Equations in Abstract Spaces

Solution Sets of Differential Equations in Abstract Spaces

Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

Method of Guiding Functions in Problems of Nonlinear Analysis

Method of Guiding Functions in Problems of Nonlinear Analysis

History of Venice: Books IX-XII

History of Venice: Books IX-XII

Travels of Pietro Della Valle in India

Travels of Pietro Della Valle in India

Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

Modeling Natural Phenomena Via Cellular Nonlinear Networks

Modeling Natural Phenomena Via Cellular Nonlinear Networks

Solution Sets of Differential Equations in Abstract Spaces

Solution Sets of Differential Equations in Abstract Spaces

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