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, vol.2021, no.2021, pp.1-11, 2021 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 2021 Issue: 2021
  • Publication Date: 2021
  • Journal Name: JOURNAL OF FUNCTION SPACES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Page Numbers: pp.1-11
  • Open Archive Collection: AVESIS Open Access Collection
  • Hakkari University Affiliated: No

Abstract

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.