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Sunday, July 19, 2020 | History

5 edition of Differential equations in abstract spaces found in the catalog.

Differential equations in abstract spaces

by G. E. Ladas

  • 301 Want to read
  • 38 Currently reading

Published by Academic Press in New York .
Written in English

    Subjects:
  • Banach spaces,
  • Differential equations,
  • Nonlinear operators

  • Edition Notes

    Bibliography: p. 211-214.

    Statement[by] G. E. Ladas and V. Lakshmikantham.
    SeriesMathematics in science and engineering,, v. 85
    ContributionsLakshmikantham, V., 1926-
    Classifications
    LC ClassificationsQA322 .L33 1972
    The Physical Object
    Paginationxi, 218 p.
    Number of Pages218
    ID Numbers
    Open LibraryOL5329635M
    ISBN 100124326501
    LC Control Number72182660

    Differential Equations in Abstract Spaces by Ladas, G. E.;Lakshmikantham, V.. Academic Press, Jacket very rubbed/lightly soiled, minor chip in spine, very minor tearing along edges; cover very lightly rubbed, corners and spine ends rubbed/bumped; ffep has faint erasures and previous owner's name inscribed in black ink; binding tight; cover, edges, and interior . Most of the subject matter is intended to be accessible to readers whose backgrounds include functions of one complex variable, integration theory and the basic theory of locally convex spaces. An important feature of this book as compared to other monographs and papers on abstract Volterra integro-differential equations is, undoubtedly, the.

    Differential Riccati equations are at the heart of many applications in control theory. They are time-dependent, matrix-valued, and in particular nonlinear equations that require special methods for their solution. Low-rank methods have been used heavily for computing a low-rank solution at every step of a time-discretization. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control.

    The subject is interesting on its own, but aside from the abstract interest, it's ultimately because we want to use those methods to understand power series solutions of differential equations. The Simmons book is clearly written, and it not only . A principal reason for the existing interest in abstract differential equations is that the so-called mixed problems in cylindrical domains for classical parabolic and hyperbolic equations of the second order can be reduced to equations of the form (1) or (2): The function $ u (t, x _ {1} \dots x _ {n}) $ is regarded as a function of $ t.


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Differential equations in abstract spaces by G. E. Ladas Download PDF EPUB FB2

Differential and Integral Inequalities Vol I. by V. Lakshmikantham and S. Leela, Academic Press, 3. Principles of Differential and Integral Equations. by Corduneanu, Allyn and Bacon Ince. Principles of Nonlinear Analysis. by Bellman, Academic Press, 5. Nonlinear Differential Equations in Abstract Spaces.

by V. Lakshmikantham and S. Differential Equations in Abstract Spaces Edited by G.E. Ladas, V. Lakshmikantham Vol Pages iii-xi, (). Differential Equations in Abstract Spaces was written by best authors whom known as an author and have wrote many interesting books with great story telling.

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O’Regan D. () Differential equations in abstract spaces. In: Existence Theory for Nonlinear Ordinary Differential Equations. Mathematics and Its Applications, vol Author: Donal O’Regan. This book presents results on the geometric/topological structure of the solution set S of an initial-value problem x(t) = f(t, x(t)), x(0) =xo, when f is a continuous function with values in an infinite-dimensional space.

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This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general.

Abstract We establish some new existence theorems on the positive solutions for nonlinear integro-differential equations which do not possess any monotone properties in ordered Banach spaces by means of Banach contraction mapping principle and cone theory based on some new comparison results.

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