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Qualitative Theory Of Parabolic Equations Part 1 (Hb 1997) at Meripustak

Qualitative Theory Of Parabolic Equations Part 1 (Hb 1997)

Books from same Author: Zelenyak T I

Books from same Publisher: Brill

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    • General Information  
    Author(s)Zelenyak T I
    PublisherBrill
    EditionZelenyak T I
    ISBN9789067642361
    Pages418
    BindingPaperback
    LanguageEnglish
    Publish YearApril 1997

    Description

    Brill Qualitative Theory Of Parabolic Equations Part 1 (Hb 1997) by Zelenyak T I

    01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.In the qualitative theory of ordinary differential equations the Liapunov method plays a fundamental role. To use their analogs for the analysis of stability of solutions to parabolic hyperparabolic and other nonclassical equations and systems time-invariant a priori estimates have to be devised for solutions. In this publication only parabolic problems are considered. Here lie mainly the problems which have been investigated most thoroughly --- the construction of Liapunov functionals which naturally generalize Liapunov functions for nonlinear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions including the so-called critical case. Attraction domains for stable solutions of mixed problems for these equations are described. Furthermore estimates for the number of stationary solutions are obtained.show more