7 edition of Functional differential equations with infinite delay found in the catalog.
Includes bibliographical references (p. -308) and index.
|Statement||Yoshiyuki Hino, Satoru Murakami, Toshiki Naito.|
|Series||Lecture notes in mathematics ;, 1473, Lecture notes in mathematics (Springer-Verlag) ;, 1473.|
|Contributions||Murakami, Satoru, 1950-, Naito, Toshiki, 1944-|
|LC Classifications||QA3 .L28 no. 1473, QA431 .L28 no. 1473|
|The Physical Object|
|Pagination||x, 317 p. ;|
|Number of Pages||317|
|ISBN 10||3540540849, 0387540849|
|LC Control Number||91013189|
Within that development, boundary value problems have played a prominent role in both the theory and applications dating back to the 's. This book attempts to present some of the more recent developments from a cross-section of views on boundary value problems for functional differential equations. For the historical overview consider the following functional differential equations with finite delay x = f(t; x t); () where x t (s) = x(t + s) for s 2 [\Gammar; 0]. The first Lyapunov-type theorem for this equation can be found in the book of Krasovskii .
In this paper, we investigate the existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay in Hilbert space. The main conclusion is obtained by using fractional calculus, operator semigroup and fixed point theorem. In the end, we give an example to illustrate our main : Xiao Ma, Xiao-Bao Shu, Jianzhong Mao. The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in The authors have attempted to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a completely new presentation of linear systems (Chapter ) for retarded and neutral functional differential equations.
In this paper, we first consider Favard's type theorem that the linear functional difference equation (LFDE) with infinite delay has a unique. A P r solution, r ∈ [1, 2], if it has at least one bounded solution and the bounded solutions of the homogeneous equation in . The function represents the history of the state from up to the present time.. The theory of functional differential equations has emerged as an important branch of nonlinear analysis. It is worthwhile mentioning that several important problems of the theory of ordinary and delay differential equations lead to investigations of functional differential equations of various types (see the books Cited by:
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About this book In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space.
To unify the theories, an axiomatic approach has been taken since the 's. Buy Functional Differential Equations with Infinite Delay (Lecture Notes in Mathematics, Vol.
) on FREE SHIPPING on qualified orders Functional Differential Equations with Infinite Delay (Lecture Notes in Mathematics, Vol. ): Hino, Yoshiyuki, Naito, Toshiki, Murakami, Satoru: : Books.
Buy Partial Neutral Functional Differential Equations with Infinite Delay: A Contribution to Quantitative and Qualitative Aspects of Study in Infinite Dimension on FREE SHIPPING on qualified orders.
In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); This book is intended as a guide for the Read more. The aim of this book is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple, yet rich, class of examples, that is, those described by delay differential equations.
It is a textbook giving detailed proofs and providing. In the theory of Functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space.
To unify the theories, an axiomatic approach has been taken since the 's. This book is intended as a guide for the axiomatic approach to the theory of equations. Delay and Functional Differential Equations and Their Applications provides information pertinent to the fundamental aspects of functional differential equations and its applications.
This book covers a variety of topics, including qualitative and geometric theory, control theory, Volterra equations, numerical methods, the theory of epidemics Book Edition: 1.
The theory of partial functional differential equations with delay has attracted widespread attention. However, when the delay is infinite, one of the fundamental tasks is Author: Hassane Bouzahir, Brahim Benaid, Chafai Imzegouan.
This paper is concerned with systems of functional differential equations with either finite or infinite delay. We give conditions on the system and on a Liapunov function to ensure that the zero solution is asymptotically stable.
Section 2 is devoted to finite delay, Section 3 to infinite delay, and Section 4. Part IV More on Delay Diﬀerential Equations and Applications 10 Dynamics of Delay Diﬀerential Equations H.O.
Walther 1 Basic theory and some results for examples Semiﬂows ofretarded functional diﬀerential equations Periodic orbits and Poincar´e return maps Compactness Global attractors history of delay equations. history of delay equations. hopf bifurcation, centre manifolds and normal forms for delay differential equations.
front matter. pages i-xxvi. pdf. variation of constant formula for delay differential equations. m.l. hbid, k. ezzinbi. functional differential equations in infinite dimensional spaces.
front matter. 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.
The Banach fixed point theorem and the nonlinear alternative of Leray–Schauder type are used to investigate the existence of solutions for fractional order functional and neutral functional differential equations with infinite by: This paper considers stochastic functional differential equations (SFDEs) with infinite delay.
The main aim is to establish the LaSalle-type theorems to locate limit sets for this class of SFDEs. In comparison with the existing results, this paper gives more general results under the weaker conditions imposed on the Lyapunov by: 1.
A variety of problems in differential equations ((abstract) functional differential equations, age-dependent population models (with and without delay), evolution equations with boundary.
The existence of periodic solution of a kind of functional differential equation with infinite delay was investigated in this paper. By constructing moderate functional V(t,φ), making use of the. In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times.
DDEs are also called time-delay systems, systems with aftereffect or dead-time, hereditary systems, equations with deviating argument, or differential-difference equations. In this paper, we consider a class of stochastic functional differential equations with infinite delay at phase space BC (− ∞,0]; R d) driven by G ‐Brownian motion (SFDEGs) in the framework of sublinear expectation spaces.
We prove the existence and uniqueness of the solutions to SFDEGs with the coefficients satisfying the linear Cited by: The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engineering and biology.
This text shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential : G. Gripenberg, S. Londen, O. Staffans. In this paper, the stability problem of impulsive functional differential equations (IFDEs) is considered.
Several criteria ensuring the uniform stability of IFDEs with finite or infinite delay are derived by establishing some new Razumikhin by:. to the books [6, 7], and to the papers [11, 12, 13, 3, 15, 4, 10, 2] and the references listed therein for information on this subject.
In this work we are concerned with the existence of periodic solutions for a class of linear and semi-linear abstract retarded functional di erential equations with in nite delay. This paper addresses a class of fractional stochastic impulsive neutral functional differential equations with infinite delay which arise from many practical applications such as viscoelasticity and electrochemistry.
Using fractional calculations, fixed point theorems and the stochastic analysis technique, sufficient conditions are derived to ensure the existence of by: 8. Existence result for fractional neutral stochastic integro-differential equations with infinite delay. Jing Cui 1,2 and Litan Yan 3.
Published 21 July • IOP Publishing Ltd Journal of Physics A: Mathematical and Theoretical, Vol Number 33Cited by: