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010   $a3-319-27200-4
024 7 $a10.1007/978-3-319-27200-9
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035   $a(DE-He213)978-3-319-27200-9
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100   $a20151229d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$a  Stability Analysis of Nonlinear Systems /$fby Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk
205   $a2nd ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015.
215   $a1 online resource (339 p.)
225 1 $aSystems & Control: Foundations & Applications,$x2324-9749
300   $aDescription based upon print version of record.
311   $a3-319-27199-7 
320   $aIncludes bibliographical references and index.
327   $aPreface to the Second Edition -- Preface -- 1 Inequalities -- 2 Variation of parameters and monotone technique -- 3 Stability of Motion in Terms of Two Measures -- 4 Stability of perturbed motion -- 5 Models of Real World Phenomena. .
330   $aThe book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.
410  0$aSystems & Control: Foundations & Applications,$x2324-9749
606   $aDynamics
606   $aErgodic theory
606   $aSystem theory
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aSystem theory.
615 14$aDynamical Systems and Ergodic Theory.
615 24$aSystems Theory, Control.
676   $a510
700   $aLakshmikantham$b Vangipuram$4aut$4http://id.loc.gov/vocabulary/relators/aut$0269023
702   $aLeela$b Srinivasa$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aMartynyuk$b Anatoly A$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300248303321
996   $aStability analysis of nonlinear systems$91490733
997   $aUNINA