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001 978-3-319-59840-6
003 DE-He213
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008 170711s2018 sz | s |||| 0|eng d
020 _a9783319598406
_9978-3-319-59840-6
024 7 _a10.1007/978-3-319-59840-6
_2doi
050 4 _aQ342
072 7 _aUYQ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aUYQ
_2thema
082 0 4 _a006.3
_223
100 1 _aZgurovsky, Michael Z.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_942883
245 1 0 _aQualitative and Quantitative Analysis of Nonlinear Systems
_h[electronic resource] :
_bTheory and Applications /
_cby Michael Z. Zgurovsky, Pavlo O. Kasyanov.
250 _a1st ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aXXXIII, 240 p. 43 illus., 23 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v111
505 0 _aIntroduction: Special Classes of Extended Phase Spaces of Distributions -- Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results -- Regularity of Solutions for Nonlinear Systems -- Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems -- Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems -- Indirect Lyapunov Method for Autonomous Dynamical Systems.
520 _aHere, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
650 0 _aComputational intelligence.
_97716
650 0 _aDynamics.
_942884
650 0 _aNonlinear theories.
_93339
650 0 _aNonlinear Optics.
_911414
650 0 _aControl engineering.
_931970
650 1 4 _aComputational Intelligence.
_97716
650 2 4 _aApplied Dynamical Systems.
_932005
650 2 4 _aNonlinear Optics.
_911414
650 2 4 _aControl and Systems Theory.
_931972
700 1 _aKasyanov, Pavlo O.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_942885
710 2 _aSpringerLink (Online service)
_942886
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319598390
776 0 8 _iPrinted edition:
_z9783319598413
776 0 8 _iPrinted edition:
_z9783319867151
830 0 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v111
_942887
856 4 0 _uhttps://doi.org/10.1007/978-3-319-59840-6
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c77211
_d77211