A study of third-order single-valued and multi-valued problems with integral boundary conditions

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• 作者：Hamed H Alsulami (1)
  Sotiris K Ntouyas (2)
  Saleh A Al-Mezel (1)
  Bashir Ahmad (1)
  Ahmed Alsaedi (1)
  
  1. Department of Mathematics ; Faculty of Science ; King Abdulaziz University ; P.O. Box 80203 ; Jeddah ; 21589 ; Saudi Arabia
  2. Department of Mathematics ; University of Ioannina ; Ioannina ; 451 10 ; Greece
  
• 关键词：34B10 ; 34B15 ; 34A60 ; differential equations ; differential inclusions ; third ; order ; integral boundary conditions ; fixed point
• 刊名：Boundary Value Problems
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,347 KB
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• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

This paper investigates some nonlinear third-order ordinary differential equations and inclusions with anti-periodic type integral boundary conditions and multi-strip boundary conditions. To establish the existence results for the given problems, we apply standard tools of fixed point theory for single-valued and multi-valued problems. The results are illustrated with the aid of examples.