Last edited by Kagarg
Friday, July 31, 2020 | History

7 edition of Stability of solutions of differential equations in Banach space found in the catalog.

Stability of solutions of differential equations in Banach space

by DaletНЎskiД­, IНЎU. L.

  • 127 Want to read
  • 4 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Differential equations.,
  • Banach spaces.,
  • Linear operators.

  • Edition Notes

    Statementby Ju. L. Daleckii and M. G. Krein.
    SeriesTranslations of mathematical monographs,, v. 43
    ContributionsKreĭn, M. G. 1907- joint author.
    Classifications
    LC ClassificationsQA371 .D25513
    The Physical Object
    Paginationvi, 386 p.
    Number of Pages386
    ID Numbers
    Open LibraryOL5047781M
    ISBN 100821815930
    LC Control Number74008403

    NONLINEAR OPERATOR S AN D NONLINEA R EQUATIONS OF EVOLUTIO N IN BANAC H SPACE S Aizengendler and M. M. Vainberg, Branching of periodic solutions of autonomous systems and of differential equations in Banach spaces, Dokl. Akad. Nauk SSSR (), = Soviet Math. Dokl. 8 (), This book's discussion of a broad class of differential equations will appeal to professionals as well as graduate students. Beginning with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations, the text proceeds to an extensive collection of applied problems.4/5(1).

    Ulam stabilities of ordinary differential equations in a Banach space Article in Carpathian Journal of Mathematics 26(1) January with 25 Reads How we measure 'reads'. Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi5/5(1).

    Differential Equations in Abstract Spaces [Outline of the Syllabus for Math ] The above material is not available in any single book on ordinary differential Equations. Ordinary Differential Equations in Banach Spaces. by Klaus Deimling, Springer Verlag, Lecture Notes, In this paper, using Sadovskii’s fixed point theorem and properties of the measure of noncompactness, we obtain asymptotic stability results for solutions of nonlinear differential equation with variable delay. Results presented in this paper extend some previous results due to Burton [1], Becker and Burton [2], Ardjouni and Djoudi [3], and Jin and Luo [4].Author: Anna Kisiolek, Ireneusz Kubiaczyk, Aneta Sikorska-Nowak.


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Stability of solutions of differential equations in Banach space by DaletНЎskiД­, IНЎU. L. Download PDF EPUB FB2

Nearly every method to obtain stability of differential equations (linear and nonlinear) has the roots in this basic literature. Moreover, it discusses the problems occuring in infinite dimensions.

In this book the ideas which carry over to the more general results are given.5/5(1). This item: Stability of Solutions of Differential Equations in Banach Space (Translations of Mathematical Monographs) Set up a giveaway.

Get fast, free delivery with Amazon Prime. Prime members enjoy FREE Two-Day Delivery and exclusive access to music, movies, TV shows, original audio series, and Kindle by:   Some Information from the Theory of Bounded Operators in Banach Spaces 9 16; The Linear Equation with a Constant Operator 69 76; The Nonstationary Linear Equation.

Bohl Exponents 94 ; Exponential Splitting of the Solutions of the Linear Equation ; The Equation with a Periodic Operator Function Stability of solutions of differential equations in Banach space.

Providence, R.I., American Mathematical Society, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: I︠U︡ L Dalet︠s︡kiĭ; M G Kreĭn. Stability for Functional Differential Equations with Delay in Banach Spaces Article (PDF Available) in Advances in Pure Mathematics 09(04) January with 44 Reads How we measure.

The study of the Cauchy problem for differential equations in a Banach space has taken two directions. One is aimed at finding compactness conditions to guarantee existence of solutions and the other is to show the existence of solutions under accretive type conditions.

We consider existence theorems from both points of by: 1. cal differential equations ; Contents note continued: order equations (infinite-dimensional analog of Hill's equation) ion of the logarithm of the monodromy operator in powers of a small parameter ; ch.

VI Linear Differential Equations in the Complex Plane ; equation with a regular singularity. Simplest case. Abstract. The chapter presents a survey of the recent results of the author on solution estimates for the linear differential equation du(t)∕dt = A(t)u(t) with a bounded operator A(t) in a Banach space satisfying various estimates give us sharp stability conditions as well as upper and lower bounds for the evolution : Michael Gil.

D'yachenko, “Semigroups of generalized almost-negative type and stabilization of solutions of differential equations in a Banach space,” in: Differential Equations and Their Applications [in Russian], No. 3, Dnepropetrovsk (), pp. 82– Google ScholarCited by: Ordinary Differential Equations in Banach Spaces.

Authors; Klaus Deimling; Book. Search within book. Front Matter. PDF. Introduction. Klaus Deimling. Pages Lipschitz type conditions Differentialgleichung compactness differential equation functional analysis ordinary differential equation ordinary differential equations.

Buy Almost Periodic Solutions of Differential Equations in Banach Spaces (Stability and Control: Theory, Methods and Applications) on FREE SHIPPING on qualified orders Almost Periodic Solutions of Differential Equations in Banach Spaces (Stability and Control: Theory, Methods and Applications): Hino, Yoshiyuki, Naito, Toshiki Cited by: Get this from a library.

Stability of solutions of differential equations in Banach space. [Jurii L Dalečkij; Mark G Krejn]. Get this from a library. Stability of solutions of differential equations in Banach space. [Ûrij L'vovič Daleckij; Mark Grigor'evič Krejn]. Main theme of this volume is the stability of nonautonomous differential equations, with emphasis on the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, the construction and regularity of topological conjugacies, the study of center manifolds, as well as their reversibility and equivariance properties.

Differential Equations in Banach Spaces Proceedings of a Conference held in Bologna, July 2–5, Global solutions to evolution equations of parabolic type. Wolf von Wahl. Hilbert space banach spaces differential equation hyperbolic partial differential equation partial differential equation perturbation perturbation theory stability.

Two, the delay is permitted to be effective over an infinite interval and a connection is made between this type of system arid neutral systems whose delay is effective over a finite interval. Three, a theory of uniform asymptotic stability for linear delay differential equations in a Hubert space is by: Nonlinear stability of θ-methods for neutral differential equations in Banach space.

Abstract. This paper is concerned with the stability properties of theoretical solution and numerical solution to nonlinear neutral differential equations with two delays in Banach by: Stability of Solutions of Differential Equations in Banach Space.

[Ju L Daleckii; M G Krein] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.

Create. Finally we apply the results to functional differential equations thus giving a simple example for our theory that extends earlier results of Deimling and Szufla for ODE's in a Banach space. Read more.

Let E be a complex Banach space. We prove the Ulam stability of a class of Banach space valued second order linear differential equations p(x)y ''(x) + q(x)y'(x) + lambda y(x) = 0, where p is an. Solutions, Stability, Perturbations ofCoefficients. AMSsubject classifications: 60H15, 60H20, 34E10, 34G20, 34K 1.

Introduction The purpose of this paper is to study the stability of stationary or periodic in law solutions for the linear difference and differential equations in Banach space under small perturbation of : A.

Ya. Dorogovtsev.In this paper, we prove the Hyers–Ulam stability in the usual sense of a Banach space valued Chebyshev differential equation. 2. Main results.

Let E be a complex Banach space with a norm ‖ ⋅ ‖ and I = (− 1, 1) the open interval of R. Denote by C (I, E) the linear space of Cited by: 3.JOURNAL OF DIFFERLWTIAL EQUATI l 66 ( Representation of Solutions and Stability of Linear Differential-Difference Equations in a Banach Space* RICHARD DATKO Department of Mathematics, Georgetown University, TVashingto?z, D.C.

Received Ma ; revised I