Solvability Of Nonlinear Equations And Boundary Value Problems
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Solvability Of Nonlinear Equations And Boundary Value Problems
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Author : Svatopluk Fučík
language : en
Publisher:
Release Date : 1980
Solvability Of Nonlinear Equations And Boundary Value Problems written by Svatopluk Fučík and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Boundary value problems categories.
Solvability Of Nonlinear Equations And Boundary Value Problems
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Author : Svatopluk Fucik
language : en
Publisher: Springer Science & Business Media
Release Date : 1981-02-28
Solvability Of Nonlinear Equations And Boundary Value Problems written by Svatopluk Fucik 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 1981-02-28 with Mathematics categories.
Non Linear Analysis And Boundary Value Problems For Ordinary Differential Equations
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Author : F. Zanolin
language : en
Publisher: Springer
Release Date : 2014-05-04
Non Linear Analysis And Boundary Value Problems For Ordinary Differential Equations written by F. Zanolin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.
The area covered by this volume represents a broad choice of some interesting research topics in the field of dynamical systems and applications of nonlinear analysis to ordinary and partial differential equations. The contributed papers, written by well known specialists, make this volume a useful tool both for the experts (who can find recent and new results) and for those who are interested in starting a research work in one of these topics (who can find some updated and carefully presented papers on the state of the art of the corresponding subject).
The Boundary Value Problems Of Mathematical Physics
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Author : O.A. Ladyzhenskaya
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
The Boundary Value Problems Of Mathematical Physics written by O.A. Ladyzhenskaya 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 2013-03-14 with Science categories.
In the present edition I have included "Supplements and Problems" located at the end of each chapter. This was done with the aim of illustrating the possibilities of the methods contained in the book, as well as with the desire to make good on what I have attempted to do over the course of many years for my students-to awaken their creativity, providing topics for independent work. The source of my own initial research was the famous two-volume book Methods of Mathematical Physics by D. Hilbert and R. Courant, and a series of original articles and surveys on partial differential equations and their applications to problems in theoretical mechanics and physics. The works of K. o. Friedrichs, which were in keeping with my own perception of the subject, had an especially strong influence on me. I was guided by the desire to prove, as simply as possible, that, like systems of n linear algebraic equations in n unknowns, the solvability of basic boundary value (and initial-boundary value) problems for partial differential equations is a consequence of the uniqueness theorems in a "sufficiently large" function space. This desire was successfully realized thanks to the introduction of various classes of general solutions and to an elaboration of the methods of proof for the corresponding uniqueness theorems. This was accomplished on the basis of comparatively simple integral inequalities for arbitrary functions and of a priori estimates of the solutions of the problems without enlisting any special representations of those solutions.
Approximation Solvability Of Nonlinear Functional And Differential Equations
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Author : Wolodymyr V. Petryshyn
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Approximation Solvability Of Nonlinear Functional And Differential Equations written by Wolodymyr V. Petryshyn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
This reference/text develops a constructive theory of solvability on linear and nonlinear abstract and differential equations - involving A-proper operator equations in separable Banach spaces, and treats the problem of existence of a solution for equations involving pseudo-A-proper and weakly-A-proper mappings, and illustrates their applications.;Facilitating the understanding of the solvability of equations in infinite dimensional Banach space through finite dimensional appoximations, this book: offers an elementary introductions to the general theory of A-proper and pseudo-A-proper maps; develops the linear theory of A-proper maps; furnishes the best possible results for linear equations; establishes the existence of fixed points and eigenvalues for P-gamma-compact maps, including classical results; provides surjectivity theorems for pseudo-A-proper and weakly-A-proper mappings that unify and extend earlier results on monotone and accretive mappings; shows how Friedrichs' linear extension theory can be generalized to the extensions of densely defined nonlinear operators in a Hilbert space; presents the generalized topological degree theory for A-proper mappings; and applies abstract results to boundary value problems and to bifurcation and asymptotic bifurcation problems.;There are also over 900 display equations, and an appendix that contains basic theorems from real function theory and measure/integration theory.
Methods For Analysis Of Nonlinear Elliptic Boundary Value Problems
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Author : I. V. Skrypnik
language : en
Publisher: American Mathematical Soc.
Release Date : 1994-01-01
Methods For Analysis Of Nonlinear Elliptic Boundary Value Problems written by I. V. Skrypnik 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 1994-01-01 with Mathematics categories.
The theory of nonlinear elliptic equations is currently one of the most actively developing branches of the theory of partial differential equations. This book investigates boundary value problems for nonlinear elliptic equations of arbitrary order. In addition to monotone operator methods, a broad range of applications of topological methods to nonlinear differential equations is presented: solvability, estimation of the number of solutions, and the branching of solutions of nonlinear equations. Skrypnik establishes, by various procedures, a priori estimates and the regularity of solutions of nonlinear elliptic equations of arbitrary order. Also covered are methods of homogenization of nonlinear elliptic problems in perforated domains. The book is suitable for use in graduate courses in differential equations and nonlinear functional analysis.
Solvability Regularity And Optimal Control Of Boundary Value Problems For Pdes
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Author : Pierluigi Colli
language : en
Publisher: Springer
Release Date : 2017-11-03
Solvability Regularity And Optimal Control Of Boundary Value Problems For Pdes written by Pierluigi Colli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-03 with Mathematics categories.
This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.
Two Point Boundary Value Problems
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Author : Colette De Coster
language : en
Publisher: Elsevier Science Limited
Release Date : 2006
Two Point Boundary Value Problems written by Colette De Coster and has been published by Elsevier Science Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction. Key features: - Presentation of the fundamental features of the method - Actual construction of lower and upper solutions in problems - Working applications - Illustrate theorems by examples - Description of the history of the method - Bibliographical notes Key features: - Presentation of the fundamental features of the method - Actual construction of lower and upper solutions in problems - Working applications - Illustrate theorems by examples - Description of the history of the method - Bibliographical notes
Nonlinear Differential Equations And Dynamical Systems
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Author : Feliz Manuel Minhós
language : en
Publisher: MDPI
Release Date : 2021-04-15
Nonlinear Differential Equations And Dynamical Systems written by Feliz Manuel Minhós and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Mathematics categories.
This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.
Solvability Of Nonlinear Singular Problems For Ordinary Differential Equations
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Author : Irena Rachunkova
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2009
Solvability Of Nonlinear Singular Problems For Ordinary Differential Equations written by Irena Rachunkova and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Boundary value problems categories.