General decay and blow up of solutions for a plate viscoelastic p(x)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & 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 formutt+ triangle(2)u(a+b integral(ohm)1/p(x)j del uj(p(x))dx)triangle(p(x))u integral(t)(0)g(ts)triangle(2)u(s)ds+beta triangle(2)ut+jutj(m(x)2)ut=juj(q(x)2)u,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
General Decay, Blow-Up, Viscoelastic, P(X)-Kirchhoff Type Equation
Kaynak
Quaestiones Mathematicae
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
