Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term

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Yüksekkaya H., Pişkin E.

JOURNAL OF FUNCTION SPACES, cilt.2021, sa.2021, ss.1-11, 2021 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021 Sayı: 2021
  • Basım Tarihi: 2021
  • Dergi Adı: JOURNAL OF FUNCTION SPACES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1-11
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Hakkari Üniversitesi Adresli: Hayır

Özet

This article deals with the study of the higher-order Kirchhoff-type equation with delay term in a bounded domain with initial

boundary conditions, where firstly, we prove the global existence result of the solution. Then, we discuss the decay of solutions

by using Nakao’s technique and denote polynomially and exponentially. Furthermore, the blow-up result is established for

negative initial energy under appropriate conditions.