Download or read book Difference Equations in Normed Spaces written by Michael Gil and published by Elsevier. This book was released on 2007-01-08 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Difference Equations in Normed Spaces written by Michael Gil and published by Elsevier Science. This book was released on 2007-03-22 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Differential Equations in Banach Spaces written by Giovanni Dore and published by CRC Press. This book was released on 2020-10-07 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Regularity of Difference Equations on Banach Spaces written by Ravi P. Agarwal and published by Springer. This book was released on 2014-06-13 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Second Order Linear Differential Equations in Banach Spaces written by H.O. Fattorini and published by Elsevier. This book was released on 2011-08-18 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Differential Equations in Banach Spaces written by Angelo Favini and published by Springer. This book was released on 2006-12-08 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Linear Differential Equations in Banach Space written by S. G. Kreui and published by American Mathematical Soc.. This book was released on 2011-07-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Sobolev Spaces of Infinite Order and Differential Equations written by Julii A. Dubinskii and published by Springer Science & Business Media. This book was released on 1986-12-31 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Trends in Differential and Difference Equations and Applications written by Feliz Manuel Minhós and published by MDPI. This book was released on 2019-10-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.

Download or read book Stability of Solutions of Differential Equations in Banach Space written by Ju. L. Daleckii and published by American Mathematical Soc.. This book was released on 2002-03-15 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Developments in Difference Equations and Applications written by SuiSun Cheng and published by Routledge. This book was released on 2017-09-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Nonlinear Operators and Differential Equations in Banach Spaces written by Robert H. Martin and published by . This book was released on 1987 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Degenerate Differential Equations in Banach Spaces written by Angelo Favini and published by CRC Press. This book was released on 1998-09-10 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Ordinary Differential Equations in Banach Spaces written by K. Deimling and published by Lecture Notes in Mathematics. This book was released on 1977-07 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advances in Differential and Difference Equations with Applications 2020 written by Dumitru Baleanu and published by MDPI. This book was released on 2021-01-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

Download or read book Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces written by Behzad Djafari Rouhani and published by CRC Press. This book was released on 2019-05-20 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator. This class of abstract evolution equations contains ordinary differential equations, as well as the unification of some important partial differential equations including heat equation, wave equation, Schrodinger equation, etc. The book contains a collection of the authors' work and applications in this field, as well as those of other authors.

Download or read book Numerical Analysis of Partial Differential Equations written by Jacques Louis Lions and published by Springer Science & Business Media. This book was released on 2011-06-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: S. Albertoni: Alcuni metodi di calcolo nella teoria della diffusione dei neutroni.- I. Babuska: Optimization and numerical stability in computations.- J.H. Bramble: Error estimates in elliptic boundary value problems.- G. Capriz: The numerical approach to hydrodynamic problems.- A. Dou: Energy inequalities in an elastic cylinder.- T. Doupont: On the existence of an iterative method for the solution of elliptic difference equation with an improved work estimate.- J. Douglas, J.R. Cannon: The approximation of harmonic and parabolic functions of half-spaces from interior data.- B.E. Hubbard: Error estimates in the fixed Membrane problem.- K. Jorgens: Calculation of the spectrum of a Schrödinger operator.- A. Lasota: Contingent equations and boundary value problems.- J.L. Lions: Réduction à des problèmes du type Cauchy-Kowalewska.- J.L. Lions: Problèmes aux limites non homogènes à données irrégulières; une méthode d’approximation.- J.L. Lions: Remarques sur l’approximation régularisée de problèmes aux limites.- W.V. Petryshyn: On the approximation-solvability of nonlinear functional equations in normed linear spaces.- P.A. Raviart: Approximation des équations d’évolution par des méthodes variationnelles.- M. Sibony, H. Brezis: Méthodes d’approximation et d’itération pour les operateurs monotones.- V. Thomee: Some topics in stability theory for partial difference operators.