Geodesic
Stabilization for solutions of plate equation with time-varying delay and weak-viscoelasticity in $\mathbb{R}^n$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2020), pp. 25-38

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We consider a dynamical system with delay described by a differential equation with partial derivatives of hyperbolic type and delay with respect to a time variable. We establish in Theorem 3.1 the $k(t)$-stability of weak solution under suitable initial conditions in $\mathbb{R}^n, n>4$ by introducing an appropriate Lyapunov functions.
Keywords: plate equation, weak-viscoelastic, variable delay, energy decay, weighted space, density. 
@article{IVM_2020_9_a2,
     author = {Kh. Zennir},
     title = {Stabilization for solutions of plate equation with time-varying delay and weak-viscoelasticity in $\mathbb{R}^n$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {25--38},
     publisher = {mathdoc},
     number = {9},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_9_a2/}
}
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Kh. Zennir. Stabilization for solutions of plate equation with time-varying delay and weak-viscoelasticity in $\mathbb{R}^n$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2020), pp. 25-38. http://geodesic.mathdoc.fr/item/IVM_2020_9_a2/