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Kocic, Vlajko L. / Kent, Candace M.

Nonlinear Nonautonomous Difference Equations

Global Behavior and Applications

Series:De Gruyter Series in Mathematics and Life Sciences

    99,95 € / $114.99 / £91.00*

    eBook (EPUB)
    Publication Date:
    2021
    To be published:
    January 2021
    ISBN
    978-3-11-048248-5
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    Overview

    Aims and Scope

    The aim of this monograph is to initiate and facilitate a systematic study of the global asymptotic behavior of nonlinear nonautonomous difference equations. In addition to general classes of nonautonomous equations, a focus lies on some special classes including periodic and asymptotically autonomous equations. The authors' primary goal is to study global stability, in particular the extreme stability (path stability), as well as the global asymptotic stability in periodic equations.

    In addition, they explore the oscillatory character of solutions including semicycles analysis, boundednes and persistence, permanence, the existence and the character of solutions having special properties such as periodicity, unboundedness, or monotonicity. Special attention is placed on the notion of attenuance and resonance of periodic cycles and their generalizations.

    This monograph presents to the reader a broad spectrum of approaches to the mentioned problems and contains several important developments in this area with applications mainly to Mathematical Biology as well as to other disciplines. In the Appendix some issues about the dynamics of discontinuous population models and discontinuous difference equations are addressed. The reader is exposed to the frontiers of the discipline, including a variety of important open problems and conjectures that require immediate attention.

    Details

    24.0 x 17.0 cm
    xii, 300 pages
    30 Fig.
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):

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    Vlajko L. Kocic, Xavier University of Lousiana, USA; Candace M. Kent, Virginia Commonwealth University, USA.

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