Nonlinear Mappings Of Monotone Type
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Nonlinear Mappings Of Monotone Type
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Author : D. Pascall
language : en
Publisher: Springer
Release Date : 1978
Nonlinear Mappings Of Monotone Type written by D. Pascall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
The progress in nonlinear functional analysis has allowed the study of many nonlinear problems in mathematical physics. This book provides basic methods and results for the investigation of the special problems in this area. The connection between nonlinear analysis and convex analysis gave rise to the important field of monotone operators from a Banach space into its dual space. These mappings extend the properties of compact operators to the infinite-dimensional case. Generalizations of monotone operators are termed mappings of monotone type. Among these, in the last decade, the pseudo-monotone operators and the mappings of type (M) have provided a more proper tool for solving large classes of nonlinear differential and integral equations. The text dwells upon essentially four interrelated topics: Nonlinear mappings of mono tone type, Hammerstein equations, Odd operators and Variational problems. To make the approach easier, we have compiled some basic results on the topological degree and on the Sobolev spaces. In the applications we restrict our discussion to the existence of solutions for nonlinear elliptic equations. The present English editIOn was written starting from the Romanian book "Operatori neliniari" (Nonlinear Mappings) by the first author and his lectures delivered at the Universities of Bucharest and Rome. The improved final form of this book is the result of the joint work of the authors.
Nonlinear Mappings Of Monotone Type
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Author : D. Pascall
language : en
Publisher: Springer
Release Date : 2014-01-14
Nonlinear Mappings Of Monotone Type written by D. Pascall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-14 with Mathematics categories.
The progress in nonlinear functional analysis has allowed the study of many nonlinear problems in mathematical physics. This book provides basic methods and results for the investigation of the special problems in this area. The connection between nonlinear analysis and convex analysis gave rise to the important field of monotone operators from a Banach space into its dual space. These mappings extend the properties of compact operators to the infinite-dimensional case. Generalizations of monotone operators are termed mappings of monotone type. Among these, in the last decade, the pseudo-monotone operators and the mappings of type (M) have provided a more proper tool for solving large classes of nonlinear differential and integral equations. The text dwells upon essentially four interrelated topics: Nonlinear mappings of mono tone type, Hammerstein equations, Odd operators and Variational problems. To make the approach easier, we have compiled some basic results on the topological degree and on the Sobolev spaces. In the applications we restrict our discussion to the existence of solutions for nonlinear elliptic equations. The present English editIOn was written starting from the Romanian book "Operatori neliniari" (Nonlinear Mappings) by the first author and his lectures delivered at the Universities of Bucharest and Rome. The improved final form of this book is the result of the joint work of the authors.
Theory And Applications Of Nonlinear Operators Of Accretive And Monotone Type
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Author : Athanass Kartsatos
language : en
Publisher: CRC Press
Release Date : 1996-03-14
Theory And Applications Of Nonlinear Operators Of Accretive And Monotone Type written by Athanass Kartsatos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03-14 with Mathematics categories.
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.
Nonlinear Ill Posed Problems Of Monotone Type
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Author : Yakov Alber
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-23
Nonlinear Ill Posed Problems Of Monotone Type written by Yakov Alber and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-23 with Mathematics categories.
Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.
Degree Theory For Operators Of Monotone Type And Nonlinear Elliptic Equations With Inequality Constraints
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Author : Sergiu Aizicovici
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Degree Theory For Operators Of Monotone Type And Nonlinear Elliptic Equations With Inequality Constraints written by Sergiu Aizicovici and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differential equations, Elliptic categories.
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.
On The Topological Degree For A Class Of Mappings Of Monotone Type And Applications To Strongly Nonlinear Elliptic Problems
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Author : Arto Kittilä
language : en
Publisher:
Release Date : 1994
On The Topological Degree For A Class Of Mappings Of Monotone Type And Applications To Strongly Nonlinear Elliptic Problems written by Arto Kittilä and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Degree, Topological categories.
Nonlinear Functional Analysis And Its Applications Part 1
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Author : Felix E. Browder
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Nonlinear Functional Analysis And Its Applications Part 1 written by Felix E. Browder and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Monotone Operators In Banach Space And Nonlinear Partial Differential Equations
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Author : Ralph Edwin Showalter
language : en
Publisher: Amer Mathematical Society
Release Date : 1997
Monotone Operators In Banach Space And Nonlinear Partial Differential Equations written by Ralph Edwin Showalter and has been published by Amer Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
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 eliptic or of parabolic type, degenerate cased 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.
Topological And Variational Methods For Nonlinear Boundary Value Problems
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Author : Pavel Drabek
language : en
Publisher: CRC Press
Release Date : 1997-04-17
Topological And Variational Methods For Nonlinear Boundary Value Problems written by Pavel Drabek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-17 with Mathematics categories.
In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity, and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations. The contributions to this volume are from well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. With research reports in the field typically scattered in many papers within various journals, this book provides the reader with recent results in an accessible form.
Canadian Mathematical Bulletin
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Author :
language : en
Publisher:
Release Date : 1982-03
Canadian Mathematical Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-03 with categories.