LEADER 03801nam 22006495 450 001 9910254084403321 005 20200706233841.0 010 $a9783319333014 024 7 $a10.1007/978-3-319-33301-4 035 $a(CKB)3710000000891687 035 $a(DE-He213)978-3-319-33301-4 035 $a(MiAaPQ)EBC4714754 035 $a(PPN)19632520X 035 $a(EXLCZ)993710000000891687 100 $a20161008d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntegral and Discrete Inequalities and Their Applications $eVolume I: Linear Inequalities /$fby Yuming Qin 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XVI, 989 p. 9 illus.) 311 $a3-319-33300-3 311 $a3-319-33301-1 320 $aIncludes bibliographical references and index. 327 $aPreface -- 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. 330 $aThis 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. 606 $aFunctions of real variables 606 $aDifferential equations 606 $aDifferential equations, Partial 606 $aIntegral equations 606 $aDifference equations 606 $aFunctional equations 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 615 0$aFunctions of real variables. 615 0$aDifferential equations. 615 0$aDifferential equations, Partial. 615 0$aIntegral equations. 615 0$aDifference equations. 615 0$aFunctional equations. 615 14$aReal Functions. 615 24$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 615 24$aIntegral Equations. 615 24$aDifference and Functional Equations. 676 $a515.8 700 $aQin$b Yuming$4aut$4http://id.loc.gov/vocabulary/relators/aut$0314000 906 $aBOOK 912 $a9910254084403321 996 $aIntegral and discrete inequalities and their applications$91520333 997 $aUNINA