Existence and asymptotic behavior of beam-equation solutions with strong damping and p(x)-biharmonic operator
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
B.Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we consider a nonlinear beam equation with a strong damping and the p(x)-biharmonic operator. The exponent p(·) of nonlinearity is a given function satisfying some condition to be specified. Applying Faedo– Galerkin’s method, the existence of weak solutions is proved. Using Nakao’s lemma, the asymptotic behavior of weak solutions is established with mild assumptions on the variable exponent p(·). We show the asymptotic behavior of the weak solution is exponentially and algebraically depending on the variable exponent. This work improves and extends many other results in the literature.
Açıklama
Anahtar Kelimeler
Asymptotic behavior, Beam equa-tion, Existence, p(x)-biharmonic operator, Variable exponent, Weak solutions
Kaynak
Journal of Mathematical Physics, Analysis, Geometry
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
18
Sayı
4
Künye
Ferreira, J., Panni, W. S., Messaoudi, S. A., Pişkin, E. ve Shahrouzi, M. (2022). Existence and asymptotic behavior of beam-equation solutions with strong damping and p(x)-biharmonic operator. Journal of Mathematical Physics, Analysis, Geometry, 18(4), 488-513.
