Download e-book for kindle: Stability Theory for Dynamic Equations on Time Scales by Anatoly A. Martynyuk

By Anatoly A. Martynyuk

ISBN-10: 331942212X

ISBN-13: 9783319422121

This monograph is a primary on this planet to give 3 methods for balance research of options of dynamic equations. the 1st technique relies at the software of dynamic critical inequalities and the elemental matrix of recommendations of linear approximation of dynamic equations. the second one relies at the generalization of the direct Lyapunovs strategy for equations on time scales, utilizing scalar, vector and matrix-valued auxiliary capabilities. The 3rd process is the applying of auxiliary features (scalar, vector, or matrix-valued ones) together with differential dynamic inequalities. this is often an alternate comparability approach, built for time non-stop and time discrete systems.
In contemporary many years, computerized regulate idea within the research of air- and spacecraft dynamics and in different parts of recent utilized arithmetic has encountered difficulties within the research of the habit of ideas of time continuous-discrete linear and/or nonlinear equations of perturbed motion. 
In the booklet “Men of Mathematics,” 1937, E.T.Bell wrote: “A significant job of arithmetic at the present time is to harmonize the continual and the discrete, to incorporate them in a single complete arithmetic, and to dispose of obscurity from both.”
Mathematical research on time scales accomplishes precisely this. 
This learn has power functions in such components as theoretical and utilized mechanics, neurodynamics, mathematical biology and finance between others.

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Anatoly A. Martynyuk's Stability Theory for Dynamic Equations on Time Scales PDF

This monograph is a primary on this planet to provide 3 methods for balance research of ideas of dynamic equations. the 1st strategy is predicated at the software of dynamic indispensable inequalities and the elemental matrix of options of linear approximation of dynamic equations. the second one relies at the generalization of the direct Lyapunovs process for equations on time scales, utilizing scalar, vector and matrix-valued auxiliary features.

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Stability Theory for Dynamic Equations on Time Scales (Systems & Control: Foundations & Applications) by Anatoly A. Martynyuk


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