Variational Method and Method of Monotone Operators in the Theory of Nonlinear Equations PDF Download
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Author: Mordukhaĭ Moiseevich Vaĭnberg
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 380
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Author: Mordukhaĭ Moiseevich Vaĭnberg
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 380
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Book Description
Author: M.M. Vainberg
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Jean Baptiste Racine
Publisher: Larousse & Company
ISBN: 9780685138113
Category :
Languages : en
Pages :
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Author: Dimitrios C. Kravvaritis
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110647451
Category : Mathematics
Languages : en
Pages : 384
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Book Description
This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.
Author:
Publisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 356
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Book Description
Author: E. Zeidler
Publisher: Springer Science & Business Media
ISBN: 1461209811
Category : Mathematics
Languages : en
Pages : 739
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Book Description
This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
Author: Athanass Kartsatos
Publisher: CRC Press
ISBN: 9780824797218
Category : Mathematics
Languages : en
Pages : 338
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Book Description
This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.
Author: Mordukhai Moiseevich Vainberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 356
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Author: R. E. Showalter
Publisher: American Mathematical Soc.
ISBN: 0821893971
Category : Mathematics
Languages : en
Pages : 296
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Book Description
The objectives of this monograph are to present some topics from the theory of monotone operators and nonlinear semigroup theory which are directly applicable to the existence and uniqueness theory of initial-boundary-value problems for partial differential equations and to construct such operators as realizations of those problems in appropriate function spaces. A highlight of this presentation is the large number and variety of examples introduced to illustrate the connection between the theory of nonlinear operators and partial differential equations. These include primarily semilinear or quasilinear equations of elliptic or of parabolic type, degenerate cases with change of type, related systems and variational inequalities, and spatial boundary conditions of the usual Dirichlet, Neumann, Robin or dynamic type. The discussions of evolution equations include the usual initial-value problems as well as periodic or more general nonlocal constraints, history-value problems, those which may change type due to a possibly vanishing coefficient of the time derivative, and other implicit evolution equations or systems including hysteresis models. The scalar conservation law and semilinear wave equations are briefly mentioned, and hyperbolic systems arising from vibrations of elastic-plastic rods are developed. The origins of a representative sample of such problems are given in the appendix.
Author: M.M. Vainberg
Publisher:
ISBN:
Category :
Languages : en
Pages :
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