Bounded And Almost Periodic Solutions Of Nonlinear Operator Differential Equations PDF Download
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Author | : A.A. Pankov |
Publisher | : Springer Science & Business Media |
Total Pages | : 231 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401196826 |
Download Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations Book in PDF, ePub and Kindle
~Et moi ... si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aUe.· human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non· sense', The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. lleaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com· puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'e1re of this series.
Author | : Yoshiyuki Hino |
Publisher | : CRC Press |
Total Pages | : 258 |
Release | : 2001-10-25 |
Genre | : Mathematics |
ISBN | : 1482263165 |
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
Author | : C. T. Taam |
Publisher | : |
Total Pages | : 6 |
Release | : 1967 |
Genre | : |
ISBN | : |
Download Stability and Other Properties of Almost Periodic Solutions of Nonlinear Differential Equations Book in PDF, ePub and Kindle
In abstract setting, the following nonlinear differential equation dX/dt = AX + F(t, X, lambda) includes many important ordinary and partial differential equations in applications, where A is a dissipative bounded or unbounded operator in a suitable Banach or Hilbert space. For this reason, the basic program in this project was to study this equation about various problems of interest in applications. (Author).
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 | : Marko Kostić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 372 |
Release | : 2019-05-06 |
Genre | : Mathematics |
ISBN | : 3110641259 |
Download Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations Book in PDF, ePub and Kindle
This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional semilinear Cauchy problems.
Author | : Toka Diagana |
Publisher | : Nova Publishers |
Total Pages | : 152 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9781600216374 |
Download Pseudo Almost Periodic Functions in Banach Spaces Book in PDF, ePub and Kindle
Author | : Zhang Chuanyi |
Publisher | : Springer Science & Business Media |
Total Pages | : 372 |
Release | : 2003-06-30 |
Genre | : Mathematics |
ISBN | : 9781402011580 |
Download Almost Periodic Type Functions and Ergodicity Book in PDF, ePub and Kindle
The theory of almost periodic functions was first developed by the Danish mathematician H. Bohr during 1925-1926. Then Bohr's work was substantially extended by S. Bochner, H. Weyl, A. Besicovitch, J. Favard, J. von Neumann, V. V. Stepanov, N. N. Bogolyubov, and oth ers. Generalization of the classical theory of almost periodic functions has been taken in several directions. One direction is the broader study of functions of almost periodic type. Related this is the study of ergodic ity. It shows that the ergodicity plays an important part in the theories of function spectrum, semigroup of bounded linear operators, and dynamical systems. The purpose of this book is to develop a theory of almost pe riodic type functions and ergodicity with applications-in particular, to our interest-in the theory of differential equations, functional differen tial equations and abstract evolution equations. The author selects these topics because there have been many (excellent) books on almost periodic functions and relatively, few books on almost periodic type and ergodicity. The author also wishes to reflect new results in the book during recent years. The book consists of four chapters. In the first chapter, we present a basic theory of four almost periodic type functions. Section 1. 1 is about almost periodic functions. To make the reader easily learn the almost periodicity, we first discuss it in scalar case. After studying a classical theory for this case, we generalize it to finite dimensional vector-valued case, and finally, to Banach-valued (including Hilbert-valued) situation.
Author | : Piero de Mottoni |
Publisher | : Academic Press |
Total Pages | : 370 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483262499 |
Download Nonlinear Differential Equations Book in PDF, ePub and Kindle
Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations. This book discusses the exchange of mathematical ideas in stability and bifurcation theory. Organized into 26 chapters, this book begins with an overview of the initial value problem for a nonlinear wave equation. This text then focuses on the interplay between stability exchange for a stationary solution and the appearance of bifurcating periodic orbits. Other chapters consider the development of methods for ascertaining stability and boundedness and explore the development of bifurcation and stability analysis in nonlinear models of applied sciences. This book discusses as well nonlinear hyperbolic equations in further contributions, featuring stability properties of periodic and almost periodic solutions. The reader is also introduced to the stability problem of the equilibrium of a chemical network. The final chapter deals with suitable spaces for studying functional equations. This book is a valuable resource for mathematicians.
Author | : Marko Kostić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 576 |
Release | : 2023-06-06 |
Genre | : Mathematics |
ISBN | : 3111233871 |
Download Metrical Almost Periodicity and Applications to Integro-Differential Equations Book in PDF, ePub and Kindle
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).