Uniqueness of solutions for second order differential equations

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• 作者：Daniel C. Biles ; John S. Spraker
• 关键词：Uniqueness ; Differential equations ; Second order ; Initial value problem ; Lipschitz ; 34A12 ; 34A34 ; 34A36
• 刊名：Monatshefte f篓鹿r Mathematik
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：178
• 期：2
• 页码：165-169
• 全文大小：337 KB
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• 作者单位：Daniel C. Biles (1)
  John S. Spraker (2)
  
  1. Department of Mathematics and CS, Belmont University, 1900 Belmont Blvd, Nashville, TN, 37212, USA
  2. Mathematics Department, Western Kentucky University, 1906 College Heights Blvd, Bowling Green, KY, 42101, USA
  
• 刊物主题：Mathematics, general;
• 出版者：Springer Vienna
• ISSN：1436-5081

文摘

We present a theorem concerning uniqueness of solutions for second order ordinary differential equations with initial conditions. Despite the fact that the hypotheses are weak and the theorem covers a large number of cases, the proof is not especially complicated. Keywords Uniqueness Differential equations Second order Initial value problem Lipschitz