East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH STRONG SINGULARITY

  • Chan-Gyun, Kim (Department of Mathematics Education Chinju National University of Education)
  • Received : 2022.12.09
  • Accepted : 2023.01.06
  • Published : 2023.01.31
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Abstract

In this paper, we consider φ-Laplacian nonlocal boundary value problems with singular weight function which may not be in L1(0, 1). The existence and nonexistence of positive solutions to the given problem for parameter λ belonging to some open intervals are shown. Our approach is based on the fixed point index theory.

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References

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