Existence And Stability Of Almost Periodic Solutions Of Differential Equations In Banach Spaces
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Author | : Yoshiyuki Hino |
Publisher | : CRC Press |
Total Pages | : 276 |
Release | : 2001-10-25 |
Genre | : Mathematics |
ISBN | : 9780415272667 |
Download Almost Periodic Solutions of Differential Equations in Banach Spaces Book in PDF, Epub and Kindle
This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.
Author | : C. T. Taam |
Publisher | : |
Total Pages | : 29 |
Release | : 1964 |
Genre | : Banach spaces |
ISBN | : |
Download Existence and Stability of Almost Periodic Solutions of Differential Equations in Banach Spaces Book in PDF, Epub and Kindle
Conditions are obtained for certain nonlinear differential equations in a Banach space to possess a unique almost periodic solution which is positively asymptotically stable and negatively unstable. The streatment rests mainly on careful study of certain mappings between the space of almost periodic functions and the space of generalized almost periodic functions. (Author).
Author | : Yoshiyuki Hino |
Publisher | : G & B Pub |
Total Pages | : 258 |
Release | : 2001-05-01 |
Genre | : Mathematics |
ISBN | : 9789056993481 |
Download Almost Periodic Solutions of Differential Equations in Banach Spaces Book in PDF, Epub and Kindle
The authors present recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, a new approach based on the so-called evolution semigroups with an original decomposition technique is systematically presented. The monograph also includes extensions of classical methods, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations.
Author | : C. T. Taam |
Publisher | : |
Total Pages | : 8 |
Release | : 1964 |
Genre | : Algebraic cycles |
ISBN | : |
Download Stability, Periodicity and Almost Periodicity of Solutions of Nonlinear Differential Equations in Banach Spaces Book in PDF, Epub and Kindle
Conditions for the existence and stability of bounded solutions, periodic solutions and almost periodic solutions of certain nonlinear differential equations in Banach spaces are obtained. The dependence of these solutions on a parameter is also investigated from the point of view of continuity, measurability and summability. (Author).
Author | : A.M. Fink |
Publisher | : Springer |
Total Pages | : 345 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540383077 |
Download Almost Periodic Differential Equations Book in PDF, Epub and Kindle
Author | : Paul H. Bezandry |
Publisher | : Springer Science & Business Media |
Total Pages | : 247 |
Release | : 2011-04-07 |
Genre | : Mathematics |
ISBN | : 1441994769 |
Download Almost Periodic Stochastic Processes Book in PDF, Epub and Kindle
This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations. It is in part a sequel of authors recent work on almost periodic stochastic difference and differential equations and has the particularity to be the first book that is entirely devoted to almost periodic random processes and their applications. The topics treated in it range from existence, uniqueness, and stability of solutions for abstract stochastic difference and differential equations.
Author | : Tarō Yoshizawa |
Publisher | : |
Total Pages | : 54 |
Release | : 1978 |
Genre | : Functional differential equations |
ISBN | : |
Download Stability and Almost Periodic Solutions in Functional Differential Equations Book in PDF, Epub and Kindle
Author | : Marko Kostić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 606 |
Release | : 2021-11-22 |
Genre | : Mathematics |
ISBN | : 3110763605 |
Download Selected Topics in Almost Periodicity Book in PDF, Epub and Kindle
Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.
Author | : N Perestyuk |
Publisher | : World Scientific |
Total Pages | : 474 |
Release | : 1995-08-31 |
Genre | : Science |
ISBN | : 981449982X |
Download Impulsive Differential Equations Book in PDF, Epub and Kindle
Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts
Author | : V.I. Arnold |
Publisher | : Springer Science & Business Media |
Total Pages | : 366 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461210372 |
Download Geometrical Methods in the Theory of Ordinary Differential Equations Book in PDF, Epub and Kindle
Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.