000 02334nam a22003618i 4500
001 CR9781316162491
003 UkCbUP
005 20200124160210.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 140815s2017||||enk o ||1 0|eng|d
020 _a9781316162491 (ebook)
020 _z9781107098725 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA431
_b.B7845 2017
082 0 0 _a515/.45
_223
100 1 _aBrunner, H.
_q(Hermann),
_d1941-
_eauthor.
245 1 0 _aVolterra integral equations :
_ban introduction to theory and applications /
_cHermann Brunner.
264 1 _aCambridge :
_bCambridge University Press,
_c2017.
300 _a1 online resource (xvi, 387 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on applied and computational mathematics ;
_v30
500 _aTitle from publisher's bibliographic system (viewed on 28 Feb 2017).
520 _aThis book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.
650 0 _aIntegral equations.
650 0 _aVolterra equations
_xNumerical solutions.
650 0 _aFunctional analysis.
776 0 8 _iPrint version:
_z9781107098725
830 0 _aCambridge monographs on applied and computational mathematics ;
_v30.
856 4 0 _uhttps://doi.org/10.1017/9781316162491
999 _c515708
_d515706