General decay and blow up of solutions for a plate viscoelastic p(x)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback
Yükleniyor...
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor and Francis Ltd.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we consider a plate viscoelastic p(x)–Kirchhoff type equation with variable-exponent nonlinearities of the form (Figure presented.) associated with initial and boundary feedback. Under appropriate conditions on p(·), m(·) and q(·), general decay result along the solution energy is proved. By introducing a suitable auxiliary function, it is also shown that regarding negative initial energy and a suitable range of variable exponents, solutions blow up in a finite time.
Açıklama
Anahtar Kelimeler
Blow-up, General decay, p(x)-Kirchhoff type equation, Viscoelastic
Kaynak
Quaestiones Mathematicae
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
47
Sayı
4
Künye
Ferreira, J., Pişkin, E. ve Shahrouzi, M. (2024). General decay and blow up of solutions for a plate viscoelastic p(x)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback. Quaestiones Mathematicae, 47(4), 813-830.
