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Volterra integral equations : an introduction to theory and applications / Hermann Brunner (Hong Kong Baptist University and Memorial University of Newfoundland)

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Cambridge monographs on applied and computational mathematicsPublisher: Cambridge ; New York, NY ; Port Melbourne : Cambridge University Press, 2017Description: xvi, 387 SeitenISBN:
  • 9781316162491
  • 9781107098725
Subject(s): Additional physical formats: 9781107098725 | Erscheint auch als: Volterra integral equations. Druck-Ausgabe Cambridge : Cambridge University Press, 2017. xvi, 387 SeitenDDC classification:
  • 515/.45 23
MSC: MSC: *45D05 | 45H05 | 34A12 | 45M05 | 45M10 | 45C05 | 45P05 | 47G10 | 45-02RVK: RVK: SK 640 | SK 920LOC classification:
  • QA431
DOI: DOI: 10.1017/9781316162491Online resources: Summary: This 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 readingPPN: PPN: 883544342Package identifier: Produktsigel: ZDB-20-CTM | BSZ-20-CBO-FR003C | ZDB-20-CBO
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