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Author : Rainer Pfaff
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (459 download)
Download or read book Generalized systems of linear differential equations written by Rainer Pfaff and published by . This book was released on 1980 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : ?tefan Schwabik
Publisher : World Scientific
ISBN 13 : 9789810212254
Total Pages : 400 pages
Book Rating : 4.2/5 (122 download)
Download or read book Generalized Ordinary Differential Equations written by ?tefan Schwabik and published by World Scientific. This book was released on 1992 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contemporary approach of J Kurzweil and R Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book. It focuses mainly on the problems of continuous dependence on parameters for ordinary differential equations. For this purpose, a generalized form of the integral based on integral sums is defined. The theory of generalized differential equations based on this integral is then used, for example, to cover differential equations with impulses or measure differential equations. Solutions of generalized differential equations are found to be functions of bounded variations.The book may be used for a special undergraduate course in mathematics or as a postgraduate text. As there are currently no other special research monographs or textbooks on this topic in English, this book is an invaluable reference text for those interested in this field.
Author : David Byrne Hill
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (469 download)
Download or read book Systems of Linear Differential Equations and Generalized Exponentials written by David Byrne Hill and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zdzislaw Jackiewicz
Publisher : John Wiley & Sons
ISBN 13 : 0470522151
Total Pages : 500 pages
Book Rating : 4.4/5 (75 download)
Download or read book General Linear Methods for Ordinary Differential Equations written by Zdzislaw Jackiewicz and published by John Wiley & Sons. This book was released on 2009-08-14 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn to develop numerical methods for ordinary differential equations General Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field. This book provides modern coverage of the theory, construction, and implementation of both classical and modern general linear methods for solving ordinary differential equations as they apply to a variety of related areas, including mathematics, applied science, and engineering. The author provides the theoretical foundation for understanding basic concepts and presents a short introduction to ordinary differential equations that encompasses the related concepts of existence and uniqueness theory, stability theory, and stiff differential equations and systems. In addition, a thorough presentation of general linear methods explores relevant subtopics such as pre-consistency, consistency, stage-consistency, zero stability, convergence, order- and stage-order conditions, local discretization error, and linear stability theory. Subsequent chapters feature coverage of: Differential equations and systems Introduction to general linear methods (GLMs) Diagonally implicit multistage integration methods (DIMSIMs) Implementation of DIMSIMs Two-step Runge-Kutta (TSRK) methods Implementation of TSRK methods GLMs with inherent Runge-Kutta stability (IRKS) Implementation of GLMs with IRKS General Linear Methods for Ordinary Differential Equations is an excellent book for courses on numerical ordinary differential equations at the upper-undergraduate and graduate levels. It is also a useful reference for academic and research professionals in the fields of computational and applied mathematics, computational physics, civil and chemical engineering, chemistry, and the life sciences.
Author : Thomas J. Coakley
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (31 download)
Download or read book A Generalized Averaging Method for Linear Differential Equations with Almost Periodic Coefficients written by Thomas J. Coakley and published by . This book was released on 1969 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William T. Reid
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Generalized Linear Differential Systems written by William T. Reid and published by . This book was released on 1958 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S.I. Lyashko
Publisher : Springer Science & Business Media
ISBN 13 : 0306475715
Total Pages : 467 pages
Book Rating : 4.3/5 (64 download)
Download or read book Generalized Optimal Control of Linear Systems with Distributed Parameters written by S.I. Lyashko and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. The book touches upon a wide range of issues such as solvability of boundary values problems for partial differential equations with generalized right-hand sides, the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, numerical methods of approximation of generalized solutions of initial boundary value problems with generalized data, and numerical methods for approximation of optimal controls. In particular, the problems of optimization of linear systems with lumped controls (pulse, point, pointwise, mobile and so on) are investigated in detail.
Author : Ondrej Dosly
Publisher : Elsevier
ISBN 13 : 0080461239
Total Pages : 533 pages
Book Rating : 4.0/5 (84 download)
Download or read book Half-Linear Differential Equations written by Ondrej Dosly and published by Elsevier. This book was released on 2005-07-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE's with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations.- The first complete treatment of the qualitative theory of half-linear differential equations.- Comparison of linear and half-linear theory.- Systematic approach to half-linear oscillation and asymptotic theory.- Comprehensive bibliography and index.- Useful as a reference book in the topic.
Author : Everaldo M. Bonotto
Publisher : John Wiley & Sons
ISBN 13 : 1119654939
Total Pages : 514 pages
Book Rating : 4.1/5 (196 download)
Download or read book Generalized Ordinary Differential Equations in Abstract Spaces and Applications written by Everaldo M. Bonotto and published by John Wiley & Sons. This book was released on 2021-09-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES AND APPLICATIONS Explore a unified view of differential equations through the use of the generalized ODE from leading academics in mathematics Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of Generalized ODEs in abstract spaces. The book covers applications to other types of differential equations, including Measure Functional Differential Equations (measure FDEs). It presents a uniform collection of qualitative results of Generalized ODEs and offers readers an introduction to several theories, including ordinary differential equations, impulsive differential equations, functional differential equations, dynamical equations on time scales, and more. Throughout the book, the focus is on qualitative theory and on corresponding results for other types of differential equations, as well as the connection between Generalized Ordinary Differential Equations and impulsive differential equations, functional differential equations, measure differential equations and dynamic equations on time scales. The book’s descriptions will be of use in many mathematical contexts, as well as in the social and natural sciences. Readers will also benefit from the inclusion of: A thorough introduction to regulated functions, including their basic properties, equiregulated sets, uniform convergence, and relatively compact sets An exploration of the Kurzweil integral, including its definitions and basic properties A discussion of measure functional differential equations, including impulsive measure FDEs The interrelationship between generalized ODEs and measure FDEs A treatment of the basic properties of generalized ODEs, including the existence and uniqueness of solutions, and prolongation and maximal solutions Perfect for researchers and graduate students in Differential Equations and Dynamical Systems, Generalized Ordinary Differential Equations in Abstract Spaces and Applications will also earn a place in the libraries of advanced undergraduate students taking courses in the subject and hoping to move onto graduate studies.
Author : Andrey Polyakov
Publisher : Springer Nature
ISBN 13 : 3030384497
Total Pages : 454 pages
Book Rating : 4.0/5 (33 download)
Download or read book Generalized Homogeneity in Systems and Control written by Andrey Polyakov and published by Springer Nature. This book was released on 2020-02-05 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include: mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces; the theory of linear dilations in Banach spaces; homogeneous control and estimation; simple methods for an "upgrade" of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experiments confirming an improvement of PID controllers. The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.
Author : Liansheng Tan
Publisher : Butterworth-Heinemann
ISBN 13 : 0081019475
Total Pages : 324 pages
Book Rating : 4.0/5 (81 download)
Download or read book A Generalized Framework of Linear Multivariable Control written by Liansheng Tan and published by Butterworth-Heinemann. This book was released on 2017-02-04 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models. The book supports that in H-infinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the H-infinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some non-regular cases. This book is ideal for scholars, academics, professional engineer and students who are interested in control system theory. - Presents a comprehensive set of numerical procedures, algorithms, and examples on how to deal with irregular models - Provides a summary on generalized framework of linear multivariable control that focuses on generalizations of models and notions - Introduces a number of generalized models by using the generalized inverse of matrix
Author : Fritz Schwarz
Publisher : Springer Science & Business Media
ISBN 13 : 3709112869
Total Pages : 238 pages
Book Rating : 4.7/5 (91 download)
Download or read book Loewy Decomposition of Linear Differential Equations written by Fritz Schwarz and published by Springer Science & Business Media. This book was released on 2012-09-28 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.
Author : Claude Sabbah
Publisher : Springer
ISBN 13 : 3642316956
Total Pages : 254 pages
Book Rating : 4.6/5 (423 download)
Download or read book Introduction to Stokes Structures written by Claude Sabbah and published by Springer. This book was released on 2012-10-03 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf. This point of view is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applications to the distributions solutions to such systems are also discussed, and various operations on Stokes-filtered local systems are analyzed.
Author : Avner Friedman
Publisher : Courier Corporation
ISBN 13 : 048615291X
Total Pages : 22 pages
Book Rating : 4.4/5 (861 download)
Download or read book Generalized Functions and Partial Differential Equations written by Avner Friedman and published by Courier Corporation. This book was released on 2011-11-30 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text details developments in the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. 1963 edition.
Author : Ram P. Kanwal
Publisher : Springer Science & Business Media
ISBN 13 : 0817681744
Total Pages : 490 pages
Book Rating : 4.8/5 (176 download)
Download or read book Generalized Functions written by Ram P. Kanwal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular attention given to better delineating connections to varying applications Exposition driven by additional examples and exercises
Author :
Publisher :
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4.:/5 (227 download)
Download or read book Classical and Generalized Solutions of Time-Dependent Linear Differential Algebraic Equations written by and published by . This book was released on 1993 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reduction procedure is developed for linear time-dependent differential algebraic equations (DAEs) that transforms their solutions into solutions of smaller systems of ordinary differential equations (ODEs). The procedure applies to classical as well as distribution solutions. In the case of analytic coefficients the hypotheses required for the reduction not only are necessary for the validity of the existence and uniqueness results, but they even allow for the presence of singularities. Straightforward extensions including undetermined systems and systems with non-analytic coefficients are also discussed.
Author : Dennis G. Zill
Publisher : Jones & Bartlett Publishers
ISBN 13 : 0763782416
Total Pages : 1005 pages
Book Rating : 4.7/5 (637 download)
Download or read book written by Dennis G. Zill and published by Jones & Bartlett Publishers. This book was released on 2009-12-21 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now with a full-color design, the new Fourth Edition of Zill's Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fourth Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. New modern applications and engaging projects makes Zill's classic text a must-have text and resource for Engineering Math students!
