Differential equations

• 作者： Barbu, Viorel, author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Springer undergraduate mathematics series.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Springer undergraduate mathematics series,
• 主題： Differential equations. , System theory. , Mathematics. , Ordinary Differential Equations. , Systems Theory, Control. , Partial Differential Equations.
• ISBN： 9783319452616 (electronic bk.) 、 9783319452609 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Existence and uniqueness for the Cauchy problem -- Systems of linear differential equations -- Stability theory -- Prime integrals and first-order partial differential equations.
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• 摘要註: This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations. Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.
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