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Author: Enayet Ullah Tarafdar
Publisher: World Scientific
ISBN: 9812704671
Category : Mathematics
Languages : en
Pages : 627
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Book Description
This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Author: Enayet Ullah Tarafdar
Publisher: World Scientific
ISBN: 9812704671
Category : Mathematics
Languages : en
Pages : 627
Get Book Here
Book Description
This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Author:
Publisher:
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 414
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Author: Wojciech Kryszewski
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 112
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Author: Kazimierz Gęba
Publisher:
ISBN:
Category : Bifurcation theory
Languages : en
Pages : 264
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Book Description
Author: John R. Graef
Publisher: CRC Press
ISBN: 0429822626
Category : Mathematics
Languages : en
Pages : 375
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Book Description
Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 652
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Book Description
Author: Michele Matzeu
Publisher: Birkhäuser
ISBN: 9780817637422
Category : Mathematics
Languages : en
Pages : 552
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Book Description
Topological tools in Nonlinear Analysis had a tremendous develop ment during the last few decades. The three main streams of research in this field, Topological Degree, Singularity Theory and Variational Meth ods, have lately become impetuous rivers of scientific investigation. The process is still going on and the achievements in this area are spectacular. A most promising and rapidly developing field of research is the study of the role that symmetries play in nonlinear problems. Symmetries appear in a quite natural way in many problems in physics and in differential or symplectic geometry, such as closed orbits for autonomous Hamiltonian systems, configurations of symmetric elastic plates under pressure, Hopf Bifurcation, Taylor vortices, convective motions of fluids, oscillations of chemical reactions, etc . . . Some of these problems have been tackled recently by different techniques using equivariant versions of Degree, Singularity and Variations. The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in Nonlinear Analysis during the last two-three decades. The survey articles presented here reflect the personal taste and points of view of the authors (all of them well-known and distinguished specialists in their own fields) on the subject matter. A common feature of these papers is that of start ing with an historical introductory background of the different disciplines under consideration and climbing up to the heights of the most recent re sults.
Author: Lech Górniewicz
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 288
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Author:
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ISBN:
Category : Functional analysis
Languages : en
Pages : 390
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Author: Miroslav Bartušek
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 326
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Book Description
