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Multiple symmetric positive solutions of fourth-order two point boundary value problem

  • De-Xiang Ma
  • Wei-Gao Ge
Article

Abstract

In this paper, by using the Krasnoselskii fixed point theorem, we study the existence of 2m or 2m + 1 symmetric positive solutions of fourth-order two point boundary value problem\(y^{(4)} (t) - f(t,y(t),y''(t)) = 0,y(0) = y(1) = y'(0) = y''(1) = 0\).

AMS Mathematics Subject Classification

34B15 

Key words and phrases

Positive solution boundary value problem cone 

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Copyright information

© Korean Society for Computational & Applied Mathematics and Korean SIGCAM 2006

Authors and Affiliations

  1. 1.The College of Information Science and EngineeringShandong University of Science and TechnologyQingdao, ShandongChina
  2. 2.Department of MathematicsBeijing Institute of TechnologyBeijingChina

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