Bounded And Almost Periodic Solutions Of Nonlinear Operator Differential Equations

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Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations

Author : A.A. Pankov
Publisher : Springer Science & Business Media
ISBN 13 : 9401196826
Total Pages : 231 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations by : A.A. Pankov

Download or read book Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations written by A.A. Pankov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~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.

Almost Periodic Solutions of Differential Equations in Banach Spaces

Author : Yoshiyuki Hino
Publisher : CRC Press
ISBN 13 : 1482263165
Total Pages : 258 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Almost Periodic Solutions of Differential Equations in Banach Spaces by : Yoshiyuki Hino

Stability and Other Properties of Almost Periodic Solutions of Nonlinear Differential Equations

Author : C. T. Taam
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Stability and Other Properties of Almost Periodic Solutions of Nonlinear Differential Equations by : C. T. Taam

Download or read book Stability and Other Properties of Almost Periodic Solutions of Nonlinear Differential Equations written by C. T. Taam and published by . This book was released on 1967 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Selected Topics in Almost Periodicity

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763605
Total Pages : 606 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Selected Topics in Almost Periodicity by : Marko Kostić

Download or read book Selected Topics in Almost Periodicity written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110641259
Total Pages : 372 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations by : Marko Kostić

Download or read book Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-05-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pseudo Almost Periodic Functions in Banach Spaces

Author : Toka Diagana
Publisher : Nova Publishers
ISBN 13 : 9781600216374
Total Pages : 152 pages
Book Rating : 4.2/5 (163 download)

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Book Synopsis Pseudo Almost Periodic Functions in Banach Spaces by : Toka Diagana

Download or read book Pseudo Almost Periodic Functions in Banach Spaces written by Toka Diagana and published by Nova Publishers. This book was released on 2007 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Periodic Type Functions and Ergodicity

Author : Zhang Chuanyi
Publisher : Springer Science & Business Media
ISBN 13 : 9781402011580
Total Pages : 372 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis Almost Periodic Type Functions and Ergodicity by : Zhang Chuanyi

Download or read book Almost Periodic Type Functions and Ergodicity written by Zhang Chuanyi and published by Springer Science & Business Media. This book was released on 2003-06-30 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Differential Equations

Author : Piero de Mottoni
Publisher : Academic Press
ISBN 13 : 1483262499
Total Pages : 370 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonlinear Differential Equations by : Piero de Mottoni

Download or read book Nonlinear Differential Equations written by Piero de Mottoni and published by Academic Press. This book was released on 2014-05-10 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Metrical Almost Periodicity and Applications to Integro-Differential Equations

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111233871
Total Pages : 576 pages
Book Rating : 4.1/5 (112 download)

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Book Synopsis Metrical Almost Periodicity and Applications to Integro-Differential Equations by : Marko Kostić

Download or read book Metrical Almost Periodicity and Applications to Integro-Differential Equations written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Periodic Solutions of Differential Equations in Banach Spaces

Author : Yoshiyuki Hino
Publisher : CRC Press
ISBN 13 : 9780415272667
Total Pages : 276 pages
Book Rating : 4.2/5 (726 download)

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Book Synopsis Almost Periodic Solutions of Differential Equations in Banach Spaces by : Yoshiyuki Hino

Download or read book Almost Periodic Solutions of Differential Equations in Banach Spaces written by Yoshiyuki Hino and published by CRC Press. This book was released on 2001-10-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Semi-Linear Hyperbolic Problems in Bounded Domains

Author : Alain Haraux
Publisher : CRC Press
ISBN 13 : 9783718604609
Total Pages : 316 pages
Book Rating : 4.6/5 (46 download)

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Book Synopsis Semi-Linear Hyperbolic Problems in Bounded Domains by : Alain Haraux

Download or read book Semi-Linear Hyperbolic Problems in Bounded Domains written by Alain Haraux and published by CRC Press. This book was released on 1987-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The opening chapter provides background information on the basic functional setting, semi-groups and the abstract wave equation, almost periodicity and the wave equation, and technical tools. Succeeding chapters cover the initial value problem, asymptotics in autonomous cases, non-resonance in the purely dissipative case, stability of periodic and almost-periodic solutions, oscillation properties in the conservative case, and global properties of the full equation. Includes bibliographic references and indexes by author and subject.

Stability, Periodicity and Almost Periodicity of Solutions of Nonlinear Differential Equations in Banach Spaces

Author : C. T. Taam
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (314 download)

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Book Synopsis Stability, Periodicity and Almost Periodicity of Solutions of Nonlinear Differential Equations in Banach Spaces by : C. T. Taam

Download or read book Stability, Periodicity and Almost Periodicity of Solutions of Nonlinear Differential Equations in Banach Spaces written by C. T. Taam and published by . This book was released on 1964 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Topics On Stability And Periodicity In Abstract Differential Equations

Author : Gaston Mandata N'guerekata
Publisher : World Scientific
ISBN 13 : 9814470910
Total Pages : 219 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topics On Stability And Periodicity In Abstract Differential Equations by : Gaston Mandata N'guerekata

Download or read book Topics On Stability And Periodicity In Abstract Differential Equations written by Gaston Mandata N'guerekata and published by World Scientific. This book was released on 2008-06-09 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those who have some experience with ordinary differential equations. The book is intended for graduate students and researchers in the related areas.

Topics in Abstract Differential Equations II

Author : S D Zaidman
Publisher : CRC Press
ISBN 13 : 9780582253407
Total Pages : 184 pages
Book Rating : 4.2/5 (534 download)

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Book Synopsis Topics in Abstract Differential Equations II by : S D Zaidman

Download or read book Topics in Abstract Differential Equations II written by S D Zaidman and published by CRC Press. This book was released on 1995-03-20 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This looks at a new branch of operator theory and partial differential equations, which in recent years, has become a rapidly growing field of mathematics. Well-posed problems are studied in the context of the theory of operator groups and semigroups as well as the framework of time dependent evolution equations. Non well-posed problems are also considered.

Nonlinear Almost Periodic Oscillations

Author : Mark Aleksandrovich Krasnoselʹskiĭ
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Nonlinear Almost Periodic Oscillations by : Mark Aleksandrovich Krasnoselʹskiĭ

Download or read book Nonlinear Almost Periodic Oscillations written by Mark Aleksandrovich Krasnoselʹskiĭ and published by . This book was released on 1973 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semilinear Evolution Equations and Their Applications

Author : Toka Diagana
Publisher : Springer
ISBN 13 : 303000449X
Total Pages : 199 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Semilinear Evolution Equations and Their Applications by : Toka Diagana

Download or read book Semilinear Evolution Equations and Their Applications written by Toka Diagana and published by Springer. This book was released on 2018-10-23 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.

Topics in Almost Automorphy

Author : Gaston M. N'Guérékata
Publisher : Springer Science & Business Media
ISBN 13 : 0387274391
Total Pages : 176 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Topics in Almost Automorphy by : Gaston M. N'Guérékata

Download or read book Topics in Almost Automorphy written by Gaston M. N'Guérékata and published by Springer Science & Business Media. This book was released on 2007-07-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]). New methods (method of invariant s- spaces, uniform spectrum), and new concepts (almost periodicity and almost automorphy in fuzzy settings) have been introduced in the literature. The range of applications include at present linear and nonlinear evolution equations, integro-differential and functional-differential equations, dynamical systems, etc...It has become imperative to take a bearing of the main steps of the the ory. That is the main purpose of this monograph. It is intended to inform the reader and pave the road to more research in the field. It is not a self contained book. In fact, [80] remains the basic reference and fimdamental source of information on these topics. Chapter 1 is an introductory one. However, it contains also some recent contributions to the theory of almost automorphic functions in abstract spaces. VIII Preface Chapter 2 is devoted to the existence of almost automorphic solutions to some Unear and nonUnear evolution equations. It con tains many new results. Chapter 3 introduces to almost periodicity in fuzzy settings with applications to differential equations in fuzzy settings. It is based on a work by B. Bede and S. G. Gal [40].