000 02685nam a22004815i 4500
001 978-94-91216-25-1
003 DE-He213
005 20140220084604.0
007 cr nn 008mamaa
008 120301s2010 fr | s |||| 0|eng d
020 _a9789491216251
_9978-94-91216-25-1
024 7 _a10.2991/978-94-91216-25-1
_2doi
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.352
_223
100 1 _aLakshmikantham, V.
_eauthor.
245 1 0 _aTheory of Causal Differential Equations
_h[electronic resource] /
_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 theory of causal differential equations (CDE) includes several types of dynamic systems such as ordinary differential equations, functional differential equations, integro-differential equations (with or without memory), differential equations with anticipation and retardation. This is the first book which describes the theory of CDE as an independent discipline, incorporating the recent general theory of CDE and introducing several new ideas. This book is a timely introduction to the subject in a more generalised frame work. The present monograph collects recent works in this broad area and provides possible extensions to other dynamic systems involving causal operators such as CDE in abstract spaces, CDE with memory, CDE with fractional derivatives and causal set differential equations-giving initial apparatus, for further study in this important branch of nonlinear analysis.
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 _uhttp://dx.doi.org/10.2991/978-94-91216-25-1
912 _aZDB-2-SMA
999 _c113698
_d113698