Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems' Solution

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AYDIN AKGÜN F.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1155/2021/7516324
  • Dergi Adı: International Journal of Differential Equations
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, INSPEC, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

© 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.