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020 _a9783642329067
_9978-3-642-32906-7
024 7 _a10.1007/978-3-642-32906-7
_2doi
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.352
_223
100 1 _aCapietto, Anna.
_eauthor.
245 1 0 _aStability and Bifurcation Theory for Non-Autonomous Differential Equations
_h[electronic resource] :
_bCetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera /
_cby Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Rafael Ortega.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aIX, 303 p. 26 illus., 9 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 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2065
505 0 _aThe Maslov index and global bifurcation for nonlinear boundary value problems -- Discrete-time nonautonomous dynamical systems -- Resonance problems for some non-autonomous ordinary differential equations -- Non-autonomous functional differential equations and applications -- Twist mappings with non-periodic angles.
520 _aThis volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.
650 0 _aMathematics.
650 0 _aFunctional equations.
650 0 _aDifferentiable dynamical systems.
650 0 _aDifferential Equations.
650 1 4 _aMathematics.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aDifference and Functional Equations.
650 2 4 _aDynamical Systems and Ergodic Theory.
700 1 _aKloeden, Peter.
_eauthor.
700 1 _aMawhin, Jean.
_eauthor.
700 1 _aNovo, Sylvia.
_eauthor.
700 1 _aOrtega, Rafael.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642329050
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2065
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-32906-7
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c97300
_d97300