000			03352nam a22005295i 4500
001			978-3-0348-0387-8
003			DE-He213
005			20140220082836.0
007			cr nn 008mamaa
008			130125s2013 sz | s |||| 0|eng d
020			_a9783034803878 _9978-3-0348-0387-8
024	7		_a10.1007/978-3-0348-0387-8 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aDrábek, Pavel. _eauthor.
245	1	0	_aMethods of Nonlinear Analysis _h[electronic resource] : _bApplications to Differential Equations / _cby Pavel Drábek, Jaroslav Milota.
250			_a2nd ed. 2013.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2013.
300			_aX, 649 p. 1 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		_aBirkhäuser Advanced Texts Basler Lehrbücher
505	0		_aPreface -- 1 Preliminaries -- 2 Properties of Linear and Nonlinear Operators -- 3 Abstract Integral and Differential Calculus -- 4 Local Properties of Differentiable Mappings -- 5 Topological and Monotonicity Methods -- 6 Variational Methods -- 7 Boundary Value Problems for Partial Differential Equations -- Summary of Methods -- Typical Applications -- Comparison of Bifurcation Results -- List of Symbols -- Index -- Bibliography.
520			_aIn this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aFunctional analysis.
650		0	_aDifferential equations, partial.
650		0	_aMathematical optimization.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aFunctional Analysis.
650	2	4	_aPartial Differential Equations.
650	2	4	_aCalculus of Variations and Optimal Control; Optimization.
700	1		_aMilota, Jaroslav. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034803861
830		0	_aBirkhäuser Advanced Texts Basler Lehrbücher
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0387-8
912			_aZDB-2-SMA
999			_c96286 _d96286