03801nam 22006495 450 991025408440332120200706233841.0978331933301410.1007/978-3-319-33301-4(CKB)3710000000891687(DE-He213)978-3-319-33301-4(MiAaPQ)EBC4714754(PPN)19632520X(EXLCZ)99371000000089168720161008d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierIntegral and Discrete Inequalities and Their Applications Volume I: Linear Inequalities /by Yuming Qin1st ed. 2016.Cham :Springer International Publishing :Imprint: Birkhäuser,2016.1 online resource (XVI, 989 p. 9 illus.) 3-319-33300-3 3-319-33301-1 Includes bibliographical references and index.Preface -- Linear One-Dimensional Continuous Integral Inequalities -- Linear One-Dimensional Discrete (Difference) Inequalities -- Linear One-Dimensional Discontinuous Integral Inequalities -- Applications of Linear One-Dimensional Inequalities -- Linear Multi-Dimensional Continuous Integral Inequalities -- Linear Multi-Dimensional Discrete (Difference) Inequalities -- Linear Multi-Dimensional Discontinuous Integral Inequalities -- Applications of Linear Multi-Dimensional Integral and Difference Inequalities.This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.Functions of real variablesDifferential equationsDifferential equations, PartialIntegral equationsDifference equationsFunctional equationsReal Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Integral Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12090Difference and Functional Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12031Functions of real variables.Differential equations.Differential equations, Partial.Integral equations.Difference equations.Functional equations.Real Functions.Ordinary Differential Equations.Partial Differential Equations.Integral Equations.Difference and Functional Equations.515.8Qin Yumingauthttp://id.loc.gov/vocabulary/relators/aut314000BOOK9910254084403321Integral and discrete inequalities and their applications1520333UNINA