000			03233nam a22004695i 4500
001			u378765
003			SIRSI
005			20160812084609.0
007			cr nn 008mamaa
008			120301s2010 fr | s |||| 0|eng d
020			_a9789491216251 _9978-94-91216-25-1
040			_cMX-MeUAM
050		4	_aQA372
082	0	4	_a515.352 _223
100	1		_aLakshmikantham, V. _eauthor.
245	1	0	_aTheory of Causal Differential Equations _h[recurso electrónico] / _cby V. Lakshmikantham, S. Leela, Zahia Drici, F. A. McRae.
264		1	_aParis : _bAtlantis Press, _c2010.
300			_aXI, 208p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAtlantis Studies in Mathematics for Engineering and Science, _x1875-7642 ; _v5
505	0		_aPreliminaries -- Basic Theory -- Theoretical ApproximationMethods -- Stability Theory -- Miscellaneous Topics in Causal Systems.
520			_aThe problems of modern society are both complex and inter-disciplinary. Despite the - parent diversity of problems, however, often tools developed in one context are adaptable to an entirely different situation. For example, consider the well known Lyapunov’s second method. This interesting and fruitful technique has gained increasing signi?cance and has given decisive impetus for modern development of stability theory of discrete and dynamic system. It is now recognized that the concept of Lyapunov function and theory of diff- ential inequalities can be utilized to investigate qualitative and quantitative properties of a variety of nonlinear problems. Lyapunov function serves as a vehicle to transform a given complicated system into a simpler comparison system. Therefore, it is enough to study the properties of the simpler system to analyze the properties of the complicated system via an appropriate Lyapunov function and the comparison principle. It is in this perspective, the present monograph is dedicated to the investigation of the theory of causal differential equations or differential equations with causal operators, which are nonanticipative or abstract Volterra operators. As we shall see in the ?rst chapter, causal differential equations include a variety of dynamic systems and consequently, the theory developed for CDEs (Causal Differential Equations) in general, covers the theory of several dynamic systems in a single framework.
650		0	_aMathematics.
650		0	_aDifferential Equations.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aPartial Differential Equations.
700	1		_aLeela, S. _eauthor.
700	1		_aDrici, Zahia. _eauthor.
700	1		_aMcRae, F. A. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
830		0	_aAtlantis Studies in Mathematics for Engineering and Science, _x1875-7642 ; _v5
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.2991/978-94-91216-25-1
596			_a19
942			_cLIBRO_ELEC
999			_c206645 _d206645