Integral and discrete inequalities and their applications. Volume I, Linear inequalities

• 作者： Qin, Yuming, author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Linear inequalities
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 主題： Integral inequalities. , Mathematics. , Real Functions. , Ordinary Differential Equations. , Partial Differential Equations. , Integral Equations. , Difference and Functional Equations.
• ISBN： 9783319333014 (electronic bk.) 、 9783319333007 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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