Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term
Yükleniyor...
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi LTD
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
Anahtar Kelimeler
Nonlinear-Wave equations, Global nonexistence theorems, Asymptotic stability, Evolution-equations, Energy decay, Boundary, Stabilization, Instabiliyt
Kaynak
Journal of Function Spaces
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
Early Access
Sayı
Künye
Yüksekkaya, H., Pişkin, E., Boulaaras, S.M. ve Cherif, B.B. (2021). Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term. Journal of Function Spaces, 1-11. (Early access).
