Initial And Boundary Value Problems Via Topological Methods PDF Download
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Author | : Daniel J. O'Regan |
Publisher | : |
Total Pages | : 202 |
Release | : 1985 |
Genre | : Topology |
ISBN | : |
Download Initial and Boundary Value Problems Via Topological Methods Book in PDF, ePub and Kindle
In this thesis a relatively new topological technique, due to A. Granas, called Topological Transversality is used to obtain existence theorems for initial and boundary value problems in a variety of settings. This fixed point result is based on the notions of an essential map and on a priori bounds on solutions.
Author | : Pablo Amster |
Publisher | : Springer |
Total Pages | : 244 |
Release | : 2013-11-30 |
Genre | : |
ISBN | : 9781461488941 |
Download Topological Methods in the Study of Boundary Value Problems Book in PDF, ePub and Kindle
This graduate-level textbook presents representative problems in nonlinear analysis by topological methods. The approach is elementary with simple model equations and applications, allowing students to focus on the application of topological methods.
Author | : Centro internazionale matematico estivo. Session |
Publisher | : |
Total Pages | : 218 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download Topological Methods for Ordinary Differential Equations Book in PDF, ePub and Kindle
Author | : J. Mawhin |
Publisher | : American Mathematical Soc. |
Total Pages | : 130 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : 082181690X |
Download Topological Degree Methods in Nonlinear Boundary Value Problems Book in PDF, ePub and Kindle
Contains lectures from the CBMS Regional Conference held at Harvey Mudd College, June 1977. This monograph consists of applications to nonlinear differential equations of the author's coincidental degree. It includes an bibliography covering many aspects of the modern theory of nonlinear differential equations and the theory of nonlinear analysis.
Author | : Patrick Fitzpatrick |
Publisher | : C.I.M.E. Foundation Subseries |
Total Pages | : 236 |
Release | : 1993-03-08 |
Genre | : Mathematics |
ISBN | : |
Download Topological Methods for Ordinary Differential Equations Book in PDF, ePub and Kindle
The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems.
Author | : |
Publisher | : Academic Press |
Total Pages | : 237 |
Release | : 1973-08-15 |
Genre | : Mathematics |
ISBN | : 0080956092 |
Download Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding Book in PDF, ePub and Kindle
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author | : J. Andres |
Publisher | : Springer Science & Business Media |
Total Pages | : 771 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9401704074 |
Download Topological Fixed Point Principles for Boundary Value Problems Book in PDF, ePub and Kindle
The book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued) functions and (multivalued) fractals are supplied to the main three chapters.
Author | : Heinz-Otto Kreiss |
Publisher | : SIAM |
Total Pages | : 408 |
Release | : 2004-01-01 |
Genre | : Science |
ISBN | : 0898715652 |
Download Initial-Boundary Value Problems and the Navier-Stokes Equation Book in PDF, ePub and Kindle
Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. Audience: when the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplifications have been used throughout. This book continues to be useful to researchers and graduate students in applied mathematics and engineering.
Author | : T.Y. Na |
Publisher | : Academic Press |
Total Pages | : 321 |
Release | : 1980-01-18 |
Genre | : Computers |
ISBN | : 008095653X |
Download Computational Methods in Engineering Boundary Value Problems Book in PDF, ePub and Kindle
Computational Methods in Engineering Boundary Value Problems
Author | : Jean Mawhin |
Publisher | : |
Total Pages | : 122 |
Release | : 1977 |
Genre | : |
ISBN | : |
Download Topological Degree Methods in Nonlinear Boundary Value Problems Book in PDF, ePub and Kindle