000			02866nam a22004695i 4500
001			978-3-319-11239-8
003			DE-He213
005			20180115171621.0
007			cr nn 008mamaa
008			141021s2014 gw | s |||| 0|eng d
020			_a9783319112398 _9978-3-319-11239-8
024	7		_a10.1007/978-3-319-11239-8 _2doi
050		4	_aQA372
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.352 _223
100	1		_aKong, Qingkai. _eauthor.
245	1	2	_aA Short Course in Ordinary Differential Equations _h[electronic resource] / _cby Qingkai Kong.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014.
300			_aXII, 267 p. 55 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext, _x0172-5939
505	0		_aPreface -- Notation and Abbreviations -- 1. Initial Value Problems -- 2. Linear Differential Equations -- 3. Lyapunov Stability Theory -- 4. Dynamic Systems and Planar Autonomous Equations -- 5. Introduction to Bifurcation Theory -- 6. Second-Order Linear Equations -- Answers and Hints -- Bibliography -- Index.
520			_aThis text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well.
650		0	_aMathematics.
650		0	_aDynamics.
650		0	_aErgodic theory.
650		0	_aDifferential equations.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aDynamical Systems and Ergodic Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319112381
830		0	_aUniversitext, _x0172-5939
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-11239-8
912			_aZDB-2-SMA
999			_c371536 _d371536