Journal of Guangxi Normal University(Natural Science Edition) ›› 2012, Vol. 30 ›› Issue (2): 48-53.

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Existence and Uniqueness of Solutions for Delay Boundary Value Problems with p-Laplacian on Infinite Intervals

WEI Yu-ming, WANG Yong, TANG Yan-qiu, FAN Jiang-hua   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2011-12-20 Online:2012-06-20 Published:2018-12-03

Abstract: This paper is concerned with the existence and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the half-line.The existence of solutions is derived from the Schauder's fixed point theorem,whereas the uniqueness of solution is established by the Banach's contraction principle.An example is given to demonstrate the main results of its application.

Key words: delay differential equation, boundary value problem, fixed point theorem, infinite interval

CLC Number: 

  • O175.1
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