Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (2): 228-234.

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Solvability of a Class of Elastic Beam Equations with Sliding Supports at Both Ends

SHI Xuanrong   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2022-05-31 Online:2023-03-26 Published:2023-03-26

Abstract: By using fixed point theorem of cone expansion-compression, the author studies the existence, nonexistence and multiplicity of positive solutions for the elastic beam problem with sliding supports at both ends, where ρ∈(0,π/2) is a constant, λ is a positive parameter, f∈C([0,1]×[0,+∞),[0,+∞)).

Key words: existence, multiplicity, positive solution, cone

CLC Number: 

  • O175.8