Stability Result for a Weakly Nonlinearly Damped Porous System with Distributed Delay
2021 ◽
Vol 19
(6)
◽
pp. 812-825
Keyword(s):
In this paper, we consider a one-dimensional porous system damped with a single weakly nonlinear feedback and distributed delay term. Without imposing any restrictive growth assumption near the origin on the damping term, we establish an explicit and general decay rate, using a multiplier method and some properties of convex functions in case of the same speed of propagation in the two equations of the system. The result is new and opens more research areas into porous-elastic system.
2020 ◽
Vol 43
(17)
◽
pp. 9983-10004
◽
Keyword(s):
2008 ◽
Vol 55
(10)
◽
pp. 991-995
◽
2014 ◽
Vol 415
(1)
◽
pp. 148-158
◽
2012 ◽
Vol 53
(12)
◽
pp. 123514
◽
Keyword(s):
2003 ◽
Vol 475
◽
pp. 247-268
◽