Last edited by Vugor
Saturday, July 18, 2020 | History

5 edition of Pseudo Almost Periodic Functions in Banach Spaces found in the catalog. # Pseudo Almost Periodic Functions in Banach Spaces

## by Toka Diagana

Written in English

Subjects:
• Functional Analysis,
• Mathematics,
• Almost periodic functions,
• Banach spaces,
• Differential equations,
• Science/Mathematics

• The Physical Object
FormatHardcover
ID Numbers
Open LibraryOL12503703M
ISBN 101600216374
ISBN 109781600216374

We first give a solution to a key problem concerning the completeness of the space of weighted pseudo almost-periodic functions and then establish a new composition theorem with respect to these functions. Some important remarks with concrete examples are also presented. Moreover, we prove an existence theorem for the weighted pseudo almost-periodic mild solution to the semilinear evolution The authors of the book present 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 ://

We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained. In addition, we apply our composition theorem to study the existence and uniqueness of pseudo-almost periodic solutions to a class of abstract semilinear evolution equation in a Banach :// Almost-periodic functions in abstract spaces. [Samuel Zaidman] -- This research not presents recent results in the field of almost-periodicity. derivability and integration in locally convex or Banach spaces. The remainder of the book is devoted to almost-periodicity and related topics. The functions are defined on IR, IR[superscript n] or

Almost Automorphic Functions with Values in a Banach Space Almost Periodic Functions with Values in a Linear Topological Space The Equation x'(t) = Ax(t) + f(t) The Equation x' = f(t, x) A Case of One-to-One Correspondence between Almost Automorphic and Asymptotically Almost Pris: kr. Inbunden, Skickas inom vardagar. Köp Almost Periodic Functions av C Corduneanu på ://

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### Pseudo Almost Periodic Functions in Banach Spaces by Toka Diagana Download PDF EPUB FB2

Request PDF | Pseudo Almost Periodic Functions in Banach Spaces | This book provides the reader with a comprehensive and accessible introduc- tion to the concepts of almost periodicity and pseudo ISBN: OCLC Number: Description: xiv, pages ; 27 cm: Contents: Preface --Chapter and Hilbert Spaces --Banach Spaces --Introduction --Basic Definitions --Examples of Banach Spaces --Holder and Lipschitz Spaces --Hilbert Spaces --Basic Definitions --Orthogonality --Projections --Bibliographical Notes --Chapter ://   This book provides the reader with a comprehensive and accessible introduction to the concepts of almost periodicity and pseudo almost periodicity as well as their applications to differential equations, partial differential equations, integral equations, and partial neutral functional differential equations with delay on Banach spaces.

Further  › Books › Science & Math › Mathematics. Diagana, G.M. N’Guérékata, Pseudo-almost periodic mild solutions to hyperbolic evolution equations in abstract intermediate Banach spaces.

Applicable Anal. 85 Request PDF | Pseudo almost periodic mild solutions to hyperbolic evolution equations in intermediate Banach spaces | This article deals with the existence and uniqueness of pseudo almost periodic odic functions with values in Banach spaces are considered.

Finally, in tions, the pseudo almost periodic functions, the weakly almost periodic func-A various types of AP functions I Further, some parts of the book may be used for various graduate and undergraduate courses.

Keywords Banach spaces Hilbert spaces abstract differential equations hypergroups metric spaces pseudo-periodic Pseudo Almost Periodic Functions in Banach Spaces equations with delay on Banach spaces. Further, the book offers various suffcient con- ditions, which do guarantee the existence and The theory of almost periodic functions was introduced in the literature around – with the pioneering work of the Danish mathematician Bohr .

A decade later, various significant   two closed subspaces of the Banach space of bounded functions and apply this result on various pseudo almost periodic spaces and pseudo almost automorphic spaces.

Mathematic Subject Classiﬁcation: 42A75, 42A99, 47A Keywords: Closed range operator, closed sum of subspaces, completeness theorem, H. Brézis, Functional Analysis, Sobolev Spaces and Partial Differential Equations (Springer, New York, ) zbMATH Google Scholar T.

Diagana, Pseudo-Almost Periodic Functions in Banach Spaces (Nova Science Publishers, Inc., G. N'Guérékata, Almost automorphic and almost periodic functions in abstract spaces. Kluwer Academic/Plenum Publishers, New York, Mathematical Reviews (MathSciNet): MR Abstract.

In this paper, we introduce a concept of piecewise weighted pseudo almost periodic functions on a Banach space and present the essential properties of this kind of functions, including the composition theorems and the uniqueness of decomposition of the ://   In this paper, we introduce a new class of vector-valued weighted pseudo almost periodic functions and present some basic properties about these new functions.

Moreover, we obtain an new existence theorem of vector-valued weighted pseudo almost periodic solution to the evolution equations x ′ (t) = Ax (t) + f (t, x t) with delay in a Banach Linear Operators on Banach Spaces.

Pages Almost Automorphic Functions. Pages Diagana, Toka. Preview Buy Chap95 € Pseudo-Almost Periodic Functions. Pages Book Title Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces  › Mathematics › Dynamical Systems & Differential Equations. The existence of pseudo-almost periodic solutions for some nonlinear differential equations in Banach spaces C.

Zhang, Pseudo almost periodic functions and their applications, Thesis, University of Western Ontario, Google ://   Pseudo almost automorphic functions In this section, we give some properties about pseudo-almost automorphic functions. Let BC(R, X) be the space of all bounded and continuous functions from R to a Banach space X, equipped with the uniform norm :// Cite this chapter as: Diagana T.

() Linear Operators on Banach Spaces. In: Almost Automorphic Type and Almost Periodic Type Functions in Abstract ://   In [], Zhang gave a composition theorem of pseudo almost periodic functions in ﬁnite dimensional Banach spaces.

More explicitly, suppose f: R × Y −→ X; h: R −→ Y are pseudo almost periodic functions under the assumption that f is lipschitzian with respect to the second variable; In this paper, we introduce the concept of piecewise pseudo almost periodic functions on a Banach space and establish some composition theorems of piecewise pseudo almost periodic functions.

We apply these composition theorems to investigate the existence of piecewise pseudo almost periodic (mild) solutions to abstract impulsive differential ://. under translations time scales and the concept of abstract weighted pseudo almost periodic functions in Banach spaces.

As an application, we obtain conditions for the existence of weighted pseudo almost periodic solutions for a class of neutral functional diﬀerential equations on time pdf.In this paper, pseudo almost periodic functions on R N, with N an integer larger than 1, are introduced and some basic properties of them are studied.

As an application, we investigate the pseudo almost periodicity of a weak solution of the semilinear elliptic equation − Δ u + ∑ j = 1 N c j ∂ j u + f (x, u) = h (x). In addition, a pseudo almost periodic forced pendulum equation Abstract. The existence of almost periodic, asymptotically almost periodic, almost automorphic, asymptotically almost automorphic, and pseudo almost periodic solutions is one of the most attracting topics in the qualitative theory of differential equations due to their significance and applications in physics, mechanics, mathematical biology, control the-ory, and ?doi=