Difference Equations In Normed Spaces PDF Download
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Author | : Michael Gil |
Publisher | : Elsevier |
Total Pages | : 379 |
Release | : 2007-01-08 |
Genre | : Mathematics |
ISBN | : 0080469353 |
Download Difference Equations in Normed Spaces Book in PDF, ePub and Kindle
Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent norm estimates for operator-valued functions with the following methods and results: The freezing method The Liapunov type equation The method of majorants The multiplicative representation of solutions Deals systematically with difference equations in normed spaces Considers new classes of equations that could not be studied in the frameworks of ordinary and partial difference equations Develops the freezing method and presents recent results on Volterra discrete equations Contains an approach based on the estimates for norms of operator functions
Author | : Michael Gil |
Publisher | : Elsevier Science |
Total Pages | : 378 |
Release | : 2007-03-22 |
Genre | : Mathematics |
ISBN | : 9780444527134 |
Download Difference Equations in Normed Spaces Book in PDF, ePub and Kindle
Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent norm estimates for operator-valued functions with the following methods and results: The freezing method The Liapunov type equation The method of majorants The multiplicative representation of solutions Deals systematically with difference equations in normed spaces Considers new classes of equations that could not be studied in the frameworks of ordinary and partial difference equations Develops the freezing method and presents recent results on Volterra discrete equations Contains an approach based on the estimates for norms of operator functions
Author | : Giovanni Dore |
Publisher | : CRC Press |
Total Pages | : 289 |
Release | : 2020-10-07 |
Genre | : Mathematics |
ISBN | : 1000117103 |
Download Differential Equations in Banach Spaces Book in PDF, ePub and Kindle
This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach Spaces is intended for research mathematicians in functional analysis, partial differential equations, operator theory and control theory; and students in these disciplines.
Author | : Ravi P. Agarwal |
Publisher | : Springer |
Total Pages | : 218 |
Release | : 2014-06-13 |
Genre | : Mathematics |
ISBN | : 3319064479 |
Download Regularity of Difference Equations on Banach Spaces Book in PDF, ePub and Kindle
This work introduces readers to the topic of maximal regularity for difference equations. The authors systematically present the method of maximal regularity, outlining basic linear difference equations along with relevant results. They address recent advances in the field, as well as basic semi group and cosine operator theories in the discrete setting. The authors also identify some open problems that readers may wish to take up for further research. This book is intended for graduate students and researchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis.
Author | : H.O. Fattorini |
Publisher | : Elsevier |
Total Pages | : 329 |
Release | : 2011-08-18 |
Genre | : Mathematics |
ISBN | : 0080872190 |
Download Second Order Linear Differential Equations in Banach Spaces Book in PDF, ePub and Kindle
Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al. In this way, a unified treatment can be given to subjects such as growth of solutions, singular perturbation of parabolic, hyperbolic and Schrödinger type initial value problems, and the like. The book covers in detail these subjects as well as the applications to each specific problem.
Author | : Angelo Favini |
Publisher | : Springer |
Total Pages | : 309 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540473505 |
Download Differential Equations in Banach Spaces Book in PDF, ePub and Kindle
Author | : Ju. L. Daleckii |
Publisher | : American Mathematical Soc. |
Total Pages | : 396 |
Release | : 2002-03-15 |
Genre | : Mathematics |
ISBN | : 0821832387 |
Download Stability of Solutions of Differential Equations in Banach Space Book in PDF, ePub and Kindle
Author | : S. G. Kreui |
Publisher | : American Mathematical Soc. |
Total Pages | : 398 |
Release | : 2011-07-14 |
Genre | : Mathematics |
ISBN | : 0821869035 |
Download Linear Differential Equations in Banach Space Book in PDF, ePub and Kindle
Author | : SuiSun Cheng |
Publisher | : Routledge |
Total Pages | : 380 |
Release | : 2017-09-29 |
Genre | : Mathematics |
ISBN | : 1351428810 |
Download New Developments in Difference Equations and Applications Book in PDF, ePub and Kindle
The late Professor Ming-Po Chen was instrumental in making the Third International Conference on Difference Equations a great success. Dedicated to his memory, these proceedings feature papers presented by many of the most prominent mathematicians in the field. It is a comprehensive collection of the latest developments in topics including stability theory, combinatorics, asymptotics, partial difference equations, as well as applications to biological, social, and natural sciences. This volume is an indispensable reference for academic and applied mathematicians, theoretical physicists, systems engineers, and computer and information scientists.
Author | : Angelo Favini |
Publisher | : CRC Press |
Total Pages | : 338 |
Release | : 1998-09-10 |
Genre | : Mathematics |
ISBN | : 9780824716776 |
Download Degenerate Differential Equations in Banach Spaces Book in PDF, ePub and Kindle
This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the recent and original results on PDEs and algebraic-differential equations, and establishes the analyzability of the semigroup generated by some degenerate parabolic operators in spaces of continuous functions.