an introduction to minimax theorems and their applications to differential equations nonconvex optimization and its applications

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An Introduction To Minimax Theorems And Their Applications To Differential Equations

Author : Maria do Rosário Grossinho
ISBN : 9781475733082
Genre : Mathematics
File Size : 86. 28 MB
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Critical Point Theory And Its Applications

Author : Wenming Zou
ISBN : 9780387329680
Genre : Mathematics
File Size : 25. 24 MB
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This book presents some of the latest research in critical point theory, describing methods and presenting the newest applications. Coverage includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. Applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations.

Nonsmooth Nonconvex Mechanics

Author : David Yang Gao
ISBN : 9781461302759
Genre : Mathematics
File Size : 32. 57 MB
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Multivalued Analysis And Nonlinear Programming Problems With Perturbations

Author : Bernd Luderer
ISBN : 9781475734683
Genre : Mathematics
File Size : 34. 2 MB
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Nonsmooth Equations In Optimization

Author : Diethard Klatte
ISBN : 9781402005503
Genre : Mathematics
File Size : 27. 80 MB
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The book establishes links between regularity and derivative concepts of nonsmooth analysis and studies of solution methods and stability for optimization, complementarity and equilibrium problems. In developing necessary tools, it presents, in particular: an extended analysis of Lipschitz functions and the calculus of their generalized derivatives, including regularity, successive approximation and implicit functions for multivalued mappings; a unified theory of Lipschitzian critical points in optimization and other variational problems, with relations to reformulations by penalty, barrier and NCP functions; an analysis of generalized Newton methods based on linear and nonlinear approximations; the interpretation of hypotheses, generalized derivatives and solution methods in terms of original data and quadratic approximations; a rich collection of instructive examples and exercises.£/LIST£ Audience: Researchers, graduate students and practitioners in various fields of applied mathematics, engineering, OR and economics. Also university teachers and advanced students who wish to get insights into problems, future directions and recent developments.

Minimax Theorems

Author : Michel Willem
ISBN : 0817639136
Genre : Mathematics
File Size : 61. 95 MB
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Mathematical Reviews

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ISBN : UOM:39015059777675
Genre : Mathematics
File Size : 76. 67 MB
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From Convexity To Nonconvexity

Author : R.P. Gilbert
ISBN : UOM:39015055859311
Genre : Mathematics
File Size : 63. 86 MB
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This collection of papers is dedicated to the memory of Gaetano Fichera, a great mathematician and also a good friend to the editors. Regrettably it took an unusual amount of time to bring this collection out. This was primarily due to the fact that the main editor who had collected all of the materials, for this volume, P. D. Panagiotopoulos, died unexpectedly during the period when we were editing the manuscript. The other two editors in appreciation of Panagiotopoulos' contribution to this field, believe it is therefore fitting that this collection be dedicated to his memory also. The theme of the collection is centered around the seminal research of G. Fichera on the Signorini problem. Variants on this idea enter in different ways. For example, by bringing in friction the problem is no longer self-adjoint and the minimization formulation is not valid. A large portion of this collection is devoted to survey papers concerning hemivariational methods, with a main point of its application to nonsmooth mechanics. Hemivariational inequali ties, which are a generalization of variational inequalities, were pioneered by Panagiotopoulos. There are many applications of this theory to the study of non convex energy functionals occurring in many branches of mechanics. An area of concentration concerns contact problems, in particular, quasistatic and dynamic contact problems with friction and damage. Nonsmooth optimization methods which may be divided into the main groups of subgradient methods and bundle methods are also discussed in this collection.

Subject Guide To Books In Print

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ISBN : STANFORD:36105025888533
Genre : American literature
File Size : 41. 75 MB
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American Book Publishing Record

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ISBN : STANFORD:36105111051640
Genre : Books
File Size : 90. 34 MB
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