Solvability of a Third-Order Three-Point Boundary Value Problem on a Half-Line

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• 作者：Hongyu Shi ; Minghe Pei…
• 关键词：Three ; point boundary value problem ; Leray ; Schauder continuation theorem ; Half ; line ; 34B10 ; 34B15 ; 34B40
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：38
• 期：3
• 页码：909-926
• 全文大小：473 KB
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• 作者单位：Hongyu Shi (1)
  Minghe Pei (1)
  Libo Wang (1)
  
  1. Department of Mathematics, Beihua University, Jilin, 132013, People鈥檚 Republic of China
  
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206

文摘

In this paper, we consider the solvability of a third-order three-point boundary value problem on a half-line of the form: $$\begin{aligned} {\left\{ \begin{array}{ll} x^{\prime \prime \prime }(t)=f\left( t,x(t),{x^{\prime }}(t),{x^{\prime \prime }}(t)\right) ,\quad 0< t<+\infty , \\ x(0)=\alpha x(\eta ),\quad \mathop {\lim }\nolimits _{t\rightarrow +\infty }x^{(i)}(t)=0,\quad i=1,2, \end{array}\right. } \end{aligned}$$