Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems' Solution

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AYDIN AKGÜN F.

International Journal of Differential Equations, vol.2021, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 2021
  • Publication Date: 2021
  • Doi Number: 10.1155/2021/7516324
  • Journal Name: International Journal of Differential Equations
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, INSPEC, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Yıldız Technical University Affiliated: Yes

Abstract

© 2021 Fatma Aydin Akgun.In this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity. We prove the existence of two families of unbounded continuance of solutions bifurcating at infinity and corresponding to the usual nodal properties near bifurcation intervals.