NONLINEAR SINGULAR HAHN–STURM–LIOUVILLE PROBLEMS ON [ω0, ∞)

Creative Commons License

Allahverdiev B. P., Tuna H.

Gulf Journal of Mathematics, vol.14, no.1, pp.1-12, 2023 (Scopus)

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.56947/gjom.v14i1.1088
  • Journal Name: Gulf Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.1-12
  • Keywords: Completely continuous operator, Fixed point theorems, Nonlinear Hahn–Sturm–Liouville equation, The limit-circle case
  • Open Archive Collection: AVESIS Open Access Collection
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this paper, we investigate a nonlinear Hahn–Sturm–Liouville problem on [ω0, ∞) under the assumption that the Hahn–Sturm–Liouville equation is in the limit-circle case at ∞. The existence and uniqueness of the solutions for these problems are obtained.