2 edition of **Almost-periodic functions and functional equations** found in the catalog.

Almost-periodic functions and functional equations

Luigi Amerio

- 105 Want to read
- 22 Currently reading

Published
**1970**
by Van Nostrand Reinhold in New York
.

Written in English

- Almost periodic functions.,
- Functional equations.,
- Banach spaces.

**Edition Notes**

Bibliography: p. 179-183.

Statement | [by] Luigi Amerio and Giovanni Prouse. |

Series | The University series in higher mathematics, University series in higher mathematics |

Contributions | Prouse, Giovanni. |

Classifications | |
---|---|

LC Classifications | QA404 .A46 |

The Physical Object | |

Pagination | viii, 184 p. |

Number of Pages | 184 |

ID Numbers | |

Open Library | OL16403162M |

In this paper, by employing matched spaces for time scales, we introduce a δ -almost periodic function and obtain some related properties. Also the hull equation for homogeneous dynamic equation is introduced and results of the existence are presented. In the sense of admitting exponential dichotomy for the homogeneous equation, the expression of a δ -almost periodic solution for a type Author: Chao Wang, Ravi P. Agarwal, Donal O’Regan. The purpose of this paper is to extend in Section 3 the main properties of almost periodic functions with values in Banach spaces, to the class of almost periodic functions with values in other important abstract spaces in Functional Analysis, namely the p-Frechet spaces, 0 .

The theory of almost periodic functions was first developed by the Danish mathematician H. Bohr during 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. Almost Periodic Case Trigonometric Polynomials and AP r-Spaces, Some Properties of the Spaces AP r(R,C), AP r-Solutions to Ordinary Differential Equations, AP r-Solutions to Convolution Equations, Oscillatory Solutions Involving the Space B, Oscillatory Motions Described by Classical Almost.

The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields Author: Constantin Corduneanu. 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 Author: Zhang Chuanyi.

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Almost-Periodic Functions and Functional Equations. Authors (view affiliations) Luigi Amerio; Almost-Periodic Functions in Banach Spaces. Luigi Amerio, Giovanni Prouse Pages Applications to Almost-Periodic Functional Equations. Front Matter. Pages PDF. The Wave Equation. Luigi Amerio, Giovanni Prouse.

Pages The. Almost-Periodic Functions and Functional Equations It seems that you're in USA. We have a dedicated site for USA Almost-Periodic Functions and Functional Equations.

Authors: Amerio, L., Prouse, G Free Preview. Buy this book eB84 € price for Spain (gross) Buy eBook ISBN. Almost-periodic functions and functional equations by Amerio, Luigi Prouse, Giovanni, and a great selection of related books, art and collectibles available now at Motivation. There are several inequivalent definitions of almost periodic functions.

The first was given by Harald interest was initially in finite Dirichlet fact by truncating the series for the Riemann zeta function ζ(s) to make it finite, one gets finite sums of terms of the type (+) with s written as (σ + it) – the sum of its real part σ and imaginary part it.

Get this from a library. Almost-periodic functions and functional equations. [Luigi Amerio]. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

The theory of almost-periodic functions with complex values, created by H. Bohr [1] in his two classical papers published in Acta Mathematica in andhas been developed by many authors and has had note worthy applications: we recall the works of Weyl, De la Vallee Poussin, Bochner, Stepanov, Wiener, Besicovic, Favard, Delsarte, Maak, Bogoliu bov, : Paperback.

Completely new is [Chapter II.3], which is devoted to a relatively new class of almost periodic functions: random functions almost periodic in probability. It is certain that these functions will find many applications in the theory of stochastic functional equations.''Format: Hardcover. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more.

Linear constant coefficient equations.- Linear almost periodic equations.- Exponential dichotomy and kinematic similarity.- Fixed point methods.- Asymptotic almost periodic functions and other Author: Toka Diagana.

Asymptotically almost periodic solutions to some classes of second-order functional differential equations Diagana, Toka, Henriquez, Hernán, and Hernández, Eduardo, Differential and Integral Equations, ; Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response Du, Zengji and Li Cited by: 4.

Completely new is [Chapter II.3], which is devoted to a relatively new class of almost periodic functions: random functions almost periodic in probability. It is certain that these functions will find many applications in the theory of stochastic functional equations.”.

Almost periodic functions occur frequently as a result of sampling a continuous-time periodic function and the functional dependence on two or more purely periodic functions with incommensurate Author: Constantin Corduneanu.

The paper is aimed at providing some results on the almost periodicity of solutions to some general functional or functional differential equations. The term “general” is meant in the sense that the equations involve operators of general form, acting on the space of almost periodic functions. First order and second order equations are dealt Cited by: 2.

The purpose of this book is to provide an overall view of all the basic features of almost periodic functions, in the various meanings this term has acquired in modern research, as well as the many applications of such functions. In this paper we study a non-autonomous neutral functional differential equation in a Banach space.

Applying the theory of semigroups of operators to evolution equations and Krasnoselskii’s fixed point theorem we establish the existence and uniqueness of a mild almost periodic solution of the problem under by: We first propose a concept of almost periodic functions in the sense of Stepanov on time scales.

Then, we consider a class of neutral functional dynamic equations with Stepanov-almost periodic terms on time scales in a Banach space. By means of the contraction mapping principle, we establish some criteria for the existence and uniqueness of almost periodic solutions for this class of dynamic Cited by: 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. Princeton University Library One Washington Road Princeton, NJ USA () The theory of almost periodic functions was first developed by the Danish mathematician H.

Bohr during Then Bohr's work was substantially extended by S. Bochner, H. Weyl, A. Besicovitch, J. Favard, J. von Neumann, V. Stepanov, N. Bogolyubov, and oth ers.

Generalization of. The theory of almost periodic functions was created and developed in its main features by Bohr as a generalization of pure periodicity. Almost periodicity is a structural property of functions, which is invariant with respect to the operations of addition and multiplication, and also in some cases with respect to division, differentiation, integration, and other limiting processes.

where and, are closed linear operators; is a Banach space; the history, belongs to some abstract phase space defined axiomatically are appropriated functions. The study of abstract neutral equations is motivated by different practical applications in different technical fields.

The literature related to ordinary neutral functional differential equations is very extensive and we refer Cited by: 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.