000			03168cam a22004578a 4500
001			000q0374
003			WSP
005			20260416153407.0
007			cr |nu|||unuuu
008			220602s2022 si ob 001 0 eng
010			_a 2022021010
040			_aWSPC _beng _cWSPC
015			_aGBC2E5604 _2bnb
016	7		_a020716184 _2Uk
020			_a9781800612693 _q(ebook)
020			_a1800612699 _q(ebook)
020			_z9781800612686 _q(hbk.)
020			_z1800612680 _q(hbk.)
042			_apcc
050	0	4	_aQA372 _b.Z64
072		7	_aMAT _x007010 _2bisacsh
072		7	_aSCI _x040000 _2bisacsh
072		7	_aMAT _x003000 _2bisacsh
082	0	0	_a515.352 _223
049			_aMAIN
100	1		_aŻołądek, Henryk, _d1953-
245	1	0	_aQualitative theory of ODEs : _ban introduction to dynamical systems theory / _cHenryk Żołądek, Raul Murillo.
260			_aSingapore : _bWorld Scientific, _c2022.
300			_a1 online resource (284 p.).
504			_aIncludes bibliographical references and index.
505	0		_aSingular points of vector fields -- Phase portraits of vector fields -- Bifurcation theory -- Equations with a small parameter -- Irregular dynamics in differential equations -- Appendix: Basic concepts and theorems of the theory of ODEs.
520			_a"The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introduction to Dynamical Systems, one of the main mathematical disciplines in recent decades. Moreover, it turns out to be very useful for graduates when they encounter differential equations in their work; usually those equations are very complicated and cannot be solved by standard methods. The main idea of the qualitative analysis of differential equations is to be able to say something about the behavior of solutions of the equations, without solving them explicitly. Therefore, in the first place such properties like the stability of solutions stand out. It is the stability with respect to changes in the initial conditions of the problem. Note that, even with the numerical approach to differential equations, all calculations are subject to a certain inevitable error. Therefore, it is desirable that the asymptotic behavior of the solutions is insensitive to perturbations of the initial state. Each chapter contains a series of problems (with varying degrees of difficulty) and a self-respecting student should solve them. This book is based on the first author's translation of lecture notes in Polish by the second author, edited in the portal Matematyka Stosowana (Applied Mathematics) at the University of Warsaw"-- _cProvided by publisher.
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat reader.
650		0	_aDifferential equations _xQualitative theory.
650		0	_aDynamics _xMathematical models.
655		0	_aElectronic books.
700	1		_aMurillo, Raul.
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/q0374#t=toc
942			_cE-BOOK
999			_c49723 _d49723