Journal of Jilin University Science Edition ›› 2025, Vol. 63 ›› Issue (6): 1565-1571.

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Existence of Positive Solutions for Uncertain Semipositive Sturm-Liouville Boundary Value Problems

LU Rui   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2025-01-03 Online:2025-11-26 Published:2025-11-26

Abstract: The author considers  the existence of positive solutions for the boundary value problems of a class of singular second-order ordinary differential equations. Based on the Krasnoselskii fixed point theorem, the author  proves that there exists a constant λ0>0, such that the problem has at least one positive solution when λ∈(0,λ0).

Key words: positive solution, semipositive problem, singular boundary value problem, cone

CLC Number: 

  • O175.8