Nikolaos Socrates Papageorgiou's Books

Time-Dependent Subdifferential Evolution Inclusions and Optimal Control

By: Shouchuan Hu,Nikolaos Socrates Papageorgiou

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Time-Dependent Subdifferential Evolution Inclusions and Optimal Control

By: Shouchuan Hu,Nikolaos Socrates Papageorgiou

This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analysed.

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American Mathematical Soc.

Published Date

ISBN 10

082180779X

ISBN 13

9780821807798

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

By: Sergiu Aizicovici,Nikolaos Socrates Papageorgiou,Vasile Staicu

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Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

By: Sergiu Aizicovici,Nikolaos Socrates Papageorgiou,Vasile Staicu

In this paper the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the corresponding Euler functional, this degree equals one.

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American Mathematical Soc.

Published Date

ISBN 10

0821841920

ISBN 13

9780821841921

An Introduction to Nonlinear Analysis: Theory

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

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An Introduction to Nonlinear Analysis: Theory

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors. The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.

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Page Count

699

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441991581

ISBN 13

9781441991584

An Introduction to Nonlinear Analysis: Applications

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

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An Introduction to Nonlinear Analysis: Applications

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics. The presentation is supplemented with the inclusion of many exercises and their solutions.

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844

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0306474565

ISBN 13

9780306474569

Nonlinear Analysis

By: Leszek Gasinski,Nikolaos S. Papageorgiou

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Nonlinear Analysis

By: Leszek Gasinski,Nikolaos S. Papageorgiou

Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. Thi

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984

Publisher

CRC Press

Published Date

ISBN 10

1420035045

ISBN 13

9781420035049

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

By: Leszek Gasinski,Nikolaos S. Papageorgiou

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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

By: Leszek Gasinski,Nikolaos S. Papageorgiou

Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory. Until now, however, no one had gathered these tools and results together into a unified, systematic survey of these advances. This book fills that gap. It provides a complete presentation of nonsmooth critical point theory, then goes beyond it to study nonlinear second order boundary value problems. The authors do not limit their treatment to problems in variational form. They also examine in detail equations driven by the p-Laplacian, its generalizations, and their spectral properties, studying a wide variety of problems and illustrating the powerful tools of modern nonlinear analysis. The presentation includes many recent results, including some that were previously unpublished. Detailed appendices outline the fundamental mathematical tools used in the book, and a rich bibliography forms a guide to the relevant literature. Most books addressing critical point theory deal only with smooth problems, linear or semilinear problems, or consider only variational methods or the tools of nonlinear operators. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods for a wide variety of problems.

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Page Count

790

Publisher

CRC Press

Published Date

ISBN 10

1420035037

ISBN 13

9781420035032

Handbook of Multivalued Analysis

Volume II: Applications

By: Shouchuan Hu,Nikolaos S. Papageorgiou

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Handbook of Multivalued Analysis

Volume II: Applications

By: Shouchuan Hu,Nikolaos S. Papageorgiou

In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.

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941

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461546656

ISBN 13

9781461546658

An Introduction to Nonlinear Analysis: Theory

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

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An Introduction to Nonlinear Analysis: Theory

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

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Page Count

690

Publisher

Springer

Published Date

ISBN 10

0306473925

ISBN 13

9780306473920

Book's by Nikolaos Socrates Papageorgiou

Time-Dependent Subdifferential Evolution Inclusions and Optimal Control

Time-Dependent Subdifferential Evolution Inclusions and Optimal Control

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

An Introduction to Nonlinear Analysis: Theory

An Introduction to Nonlinear Analysis: Theory

An Introduction to Nonlinear Analysis: Applications

An Introduction to Nonlinear Analysis: Applications

Nonlinear Analysis

Nonlinear Analysis

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

Handbook of Multivalued Analysis

Handbook of Multivalued Analysis

An Introduction to Nonlinear Analysis: Theory

An Introduction to Nonlinear Analysis: Theory

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