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008			190107s2018 si a ob 001 0 eng
010			_z 2017060286
040			_aWSPC _beng _cWSPC
020			_a9789813236462 _q(ebook)
020			_z9789813236455 _q(hbk.)
050	0	4	_aQA372 _b.O74 2018
072		7	_aMAT _x007000 _2bisacsh
072		7	_aMAT _x007010 _2bisacsh
082	0	4	_a515/.352 _223
245	0	0	_aOrdinary differential equations and boundary value problems. _nV. I, _pAdvanced ordinary differential equations _h[electronic resource] / _cJohn R. Graef ... [et al.].
260			_aSingapore : _bWorld Scientific Publishing Co. Pte Ltd., _c©2018.
300			_a1 online resource (176 p.) : _bill.
490	0		_aTrends in abstract and applied analysis ; _vv. 7
538			_aSystem requirements: Adobe Acrobat Reader.
538			_aMode of access: World Wide Web.
588			_aTitle from web page (viewed January 18, 2019).
504			_aIncludes bibliographical references and index.
520			_a"The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book. The authors begin with a study of initial value problems for systems of differential equations including the Picard and Peano existence theorems. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. This is followed by a discussion of the differentiability of solutions with respect to initial conditions and with respect to parameters. Comparison results and differential inequalities are included as well. Linear systems of differential equations are treated in detail as is appropriate for a study of ODEs at this level. Just the right amount of basic properties of matrices are introduced to facilitate the observation of matrix systems and especially those with constant coefficients. Floquet theory for linear periodic systems is presented and used to analyze nonhomogeneous linear systems. Stability theory of first order and vector linear systems are considered. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples as is the stability of vector linear systems. The book concludes with a chapter on perturbed systems of ODEs."-- _cPublisher's website.
650		0	_aDifferential equations. _920929
650		0	_aBoundary value problems. _98596
650		0	_aElectronic books. _920930
700	1		_aGraef, John R., _d1942- _920846
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/10888#t=toc _zAccess to full text is restricted to subscribers.
942			_cEBK
999			_c72677 _d72677