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Author : Irina Meghea
Publisher : Archives contemporaines
ISBN 13 : 2914610963
Total Pages : 535 pages
Book Rating : 4.9/5 (146 download)
Download or read book Ekeland Variational Principle written by Irina Meghea and published by Archives contemporaines. This book was released on 2009 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Djairo Guedes de Figueiredo
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (816 download)
Download or read book Lectures on the Ekeland Variational Principle with Applications and Detours written by Djairo Guedes de Figueiredo and published by . This book was released on 1987 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Djairo G. de Figueiredo
Publisher : Springer
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.U/5 (183 download)
Download or read book Lectures on the Ekeland Variational Principle with Applications and Detours written by Djairo G. de Figueiredo and published by Springer. This book was released on 1989-10-05 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its publication in 1972, the variational principle of Ekeland has found many applications in different fields of Analysis. Some are very scattered in the literature and therein lies the motivation of these notes. They are intended for the use of students and therefore include several detours through related material. Some readers may be surprised to find a chapter on Nemytskii mappings: however their properties are seldom proved though often referred to and the proofs presented here are more straightforward than those in the standard sources of Krasnoselskii or Vainberg. Two chapters cover applications to (semilinear elliptic) PDE. The central chapter is on Brézis' proof of the minimax theorems of Ambrosetti and Rabinowitz. To keep the text self-contained, some convex analysis is developed (for the treatment of the duality mapping) and some geometry of Banach spaces. These notes are based on a course given by the author at the Tata Institute in 1987.
Author : Jonathan Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 0387282718
Total Pages : 368 pages
Book Rating : 4.3/5 (872 download)
Download or read book Techniques of Variational Analysis written by Jonathan Borwein and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis Provides a good introduction to the topic
Author : R. Tyrrell Rockafellar
Publisher : Springer Science & Business Media
ISBN 13 : 3642024319
Total Pages : 747 pages
Book Rating : 4.6/5 (42 download)
Download or read book Variational Analysis written by R. Tyrrell Rockafellar and published by Springer Science & Business Media. This book was released on 2009-06-26 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.
Author : Aurelia Meghea
Publisher : OCP Science
ISBN 13 : 9781933153087
Total Pages : pages
Book Rating : 4.1/5 (53 download)
Download or read book Ekeland Variational Principle with Variants and Generalisations written by Aurelia Meghea and published by OCP Science. This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Aubin
Publisher : Courier Corporation
ISBN 13 : 0486453243
Total Pages : 530 pages
Book Rating : 4.4/5 (864 download)
Download or read book Applied Nonlinear Analysis written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2006-01-01 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.
Author : Z. Deng
Publisher : CRC Press
ISBN 13 : 1000105326
Total Pages : 543 pages
Book Rating : 4.0/5 (1 download)
Download or read book Differential Equations and Control Theory written by Z. Deng and published by CRC Press. This book was released on 2020-11-25 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential equations.
Author : Qamrul Hasan Ansari
Publisher : Cambridge University Press
ISBN 13 : 1009351451
Total Pages : 234 pages
Book Rating : 4.0/5 (93 download)
Download or read book Fixed Point Theory and Variational Principles in Metric Spaces written by Qamrul Hasan Ansari and published by Cambridge University Press. This book was released on 2023-08-31 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book covering theory and examples for undergraduates, graduates, and researchers studying fixed point theory or nonlinear analysis.
Author : El Hassan Zerrik
Publisher : Springer Nature
ISBN 13 : 3030261492
Total Pages : 275 pages
Book Rating : 4.0/5 (32 download)
Download or read book Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications written by El Hassan Zerrik and published by Springer Nature. This book was released on 2019-08-26 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent developments in a wide range of areas, including the modeling, analysis and control of dynamical systems, and explores related applications. The book provided a forum where researchers have shared their ideas, results on theory, and experiments in application problems. The current literature devoted to dynamical systems is quite large, and the authors’ choice for the considered topics was motivated by the following considerations. Firstly, the mathematical jargon for systems theory remains quite complex and the authors feel strongly that they have to maintain connections between the people of this research field. Secondly, dynamical systems cover a wider range of applications, including engineering, life sciences and environment. The authors consider that the book is an important contribution to the state of the art in the fuzzy and dynamical systems areas.
Author : Richard S. Palais
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.F/5 ( download)
Download or read book Foundations of Global Non-linear Analysis written by Richard S. Palais and published by . This book was released on 1968 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivar Ekeland
Publisher : University of Chicago Press
ISBN 13 : 0226199886
Total Pages : 175 pages
Book Rating : 4.2/5 (261 download)
Download or read book Infinite-Dimensional Optimization and Convexity written by Ivar Ekeland and published by University of Chicago Press. This book was released on 1983-09-15 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The caratheodory approach; Infinite-dimensional optimization; Duality theory.
Author : Ivar Ekeland
Publisher : Springer Science & Business Media
ISBN 13 : 3642743315
Total Pages : 258 pages
Book Rating : 4.6/5 (427 download)
Download or read book Convexity Methods in Hamiltonian Mechanics written by Ivar Ekeland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the case of completely integrable systems, periodic solutions are found by inspection. For nonintegrable systems, such as the three-body problem in celestial mechanics, they are found by perturbation theory: there is a small parameter € in the problem, the mass of the perturbing body for instance, and for € = 0 the system becomes completely integrable. One then tries to show that its periodic solutions will subsist for € -# 0 small enough. Poincare also introduced global methods, relying on the topological properties of the flow, and the fact that it preserves the 2-form L~=l dPi 1\ dqi' The most celebrated result he obtained in this direction is his last geometric theorem, which states that an area-preserving map of the annulus which rotates the inner circle and the outer circle in opposite directions must have two fixed points. And now another ancient theme appear: the least action principle. It states that the periodic solutions of a Hamiltonian system are extremals of a suitable integral over closed curves. In other words, the problem is variational. This fact was known to Fermat, and Maupertuis put it in the Hamiltonian formalism. In spite of its great aesthetic appeal, the least action principle has had little impact in Hamiltonian mechanics. There is, of course, one exception, Emmy Noether's theorem, which relates integrals ofthe motion to symmetries of the equations. But until recently, no periodic solution had ever been found by variational methods.
Author : D. G. De Figueiredo
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.:/5 (18 download)
Download or read book The Ekeland Variational Principle with Applications and Detours written by D. G. De Figueiredo and published by . This book was released on 1989 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Akhtar A. Khan
Publisher : Springer
ISBN 13 : 3642542654
Total Pages : 781 pages
Book Rating : 4.6/5 (425 download)
Download or read book Set-valued Optimization written by Akhtar A. Khan and published by Springer. This book was released on 2014-10-20 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality and applications in economics among other things.
Author : Gábor Kassay
Publisher : Academic Press
ISBN 13 : 0128110309
Total Pages : 442 pages
Book Rating : 4.1/5 (281 download)
Download or read book Equilibrium Problems and Applications written by Gábor Kassay and published by Academic Press. This book was released on 2018-10-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis. A rigorous mathematical analysis of Nash equilibrium type problems, which play a central role to describe network traffic models, competition games or problems arising in experimental economics Develops generic models relevant to mathematical economics and quantitative modeling of game theory, aiding economists to understand vital material without having to wade through complex proofs Reveals a number of surprising interactions among various equilibria topics, enabling readers to identify a common and unified approach to analysing problem sets Illustrates the deep features shared by several types of nonlinear problems, encouraging readers to develop further this unifying approach from other viewpoints into economic models in turn
Author : Djairo Guedes de Figueiredo
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on the Ekeland Variational Principle with Applications and Detours written by Djairo Guedes de Figueiredo and published by . This book was released on 1989 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
