Generalized Solutions Of Operator Equations And Extreme Elements PDF Download
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Author | : D.A. Klyushin |
Publisher | : Springer Science & Business Media |
Total Pages | : 219 |
Release | : 2011-10-05 |
Genre | : Mathematics |
ISBN | : 1461406196 |
Download Generalized Solutions of Operator Equations and Extreme Elements Book in PDF, ePub and Kindle
Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The presented results offer new methods of identifying these solutions and studying their properties. These new methods involve the application of a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. The monograph is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control.
Author | : Ronghua Li |
Publisher | : CRC Press |
Total Pages | : 472 |
Release | : 2000-01-03 |
Genre | : Mathematics |
ISBN | : 1482270218 |
Download Generalized Difference Methods for Differential Equations Book in PDF, ePub and Kindle
This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.
Author | : Vitalij P. Tanana |
Publisher | : VSP |
Total Pages | : 236 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9789067642378 |
Download Methods for Solving Operator Equations Book in PDF, ePub and Kindle
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Author | : George Dincă |
Publisher | : |
Total Pages | : 17 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Well Set Variational Problems and Generalized Solutions for Multivalued Operator Equations Book in PDF, ePub and Kindle
Author | : Mark Aleksandrovich Krasnoselʹskiĭ |
Publisher | : |
Total Pages | : 484 |
Release | : 1969 |
Genre | : |
ISBN | : |
Download Approximate Solution of Operator Equations Book in PDF, ePub and Kindle
Author | : R Precup |
Publisher | : Springer Science & Business Media |
Total Pages | : 236 |
Release | : 2002-08-31 |
Genre | : Mathematics |
ISBN | : 9781402008443 |
Download Methods in Nonlinear Integral Equations Book in PDF, ePub and Kindle
Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.
Author | : Alston Scott Householder |
Publisher | : |
Total Pages | : 552 |
Release | : 1972 |
Genre | : Algebra |
ISBN | : |
Download KWIC Index for Numerical Algebra Book in PDF, ePub and Kindle
Author | : Mark Aleksandrovich Krasnoselʹskiĭ |
Publisher | : |
Total Pages | : 392 |
Release | : 1964 |
Genre | : Calculus, Operational |
ISBN | : |
Download Positive Solutions of Operator Equations Book in PDF, ePub and Kindle
"This book is devoted to a systematic study of an important aspect of non-linear functional analysis. The methods developed are for the study of equations containing essential non-linearities and in particular, of equations which can have many solutions and have found various applications to problems in wave theory, loss of stability of elastic systems, problems of geometry in the large, theory of periodic solutions of equations of non-linear mechanics, theory of non-linear boundary value problems and others" - annotation.
Author | : Filippo De Mari |
Publisher | : Springer Nature |
Total Pages | : 316 |
Release | : 2021-12-13 |
Genre | : Mathematics |
ISBN | : 3030866645 |
Download Harmonic and Applied Analysis Book in PDF, ePub and Kindle
Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science. This volume explores these rapidly growing areas and features contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, held at the University of Genova in 2017 and 2019. Each chapter offers an introduction to essential material and then demonstrates connections to more advanced research, with the aim of providing an accessible entrance for students and researchers. Topics covered include ill-posed problems; concentration inequalities; regularization and large-scale machine learning; unitarization of the radon transform on symmetric spaces; and proximal gradient methods for machine learning and imaging.
Author | : Mohammad Sal Moslehian |
Publisher | : Springer Nature |
Total Pages | : 763 |
Release | : 2023-07-29 |
Genre | : Mathematics |
ISBN | : 3031253868 |
Download Matrix and Operator Equations and Applications Book in PDF, ePub and Kindle
This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systematic and self-contained fashion. Some powerful methods have been used to investigate some significant equations in functional analysis, operator theory, matrix analysis, and numerous subjects in the last decades. The book is divided into two parts: (I) Matrix Equations and (II) Operator Equations. In the first part, the state-of-the-art of systems of matrix equations is given and generalized inverses are used to find their solutions. The semi-tensor product of matrices is used to solve quaternion matrix equations. The contents of some chapters are related to the relationship between matrix inequalities, matrix means, numerical range, and matrix equations. In addition, quaternion algebras and their applications are employed in solving some famous matrix equations like Sylvester, Stein, and Lyapunov equations. A chapter devoted to studying Hermitian polynomial matrix equations, which frequently arise from linear-quadratic control problems. Moreover, some classical and recently discovered inequalities for matrix exponentials are reviewed. In the second part, the latest developments in solving several equations appearing in modern operator theory are demonstrated. These are of interest to a wide audience of pure and applied mathematicians. For example, the Daugavet equation in the linear and nonlinear setting, iterative processes and Volterra-Fredholm integral equations, semicircular elements induced by connected finite graphs, free probability, singular integral operators with shifts, and operator differential equations closely related to the properties of the coefficient operators in some equations are discussed. The chapters give a comprehensive account of their subjects. The exhibited chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.