Polynomial Decay Rate for Kirchhoff Type in Viscoelasticity with Logarithmic Nonlinearity and Not Necessarily Decreasing Kernel

Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent

Existence and Uniform Decay for a Nonlinear Beam Equation with Nonlinearity of Kirchhoff Type in Domains with Moving Boundary

We prove the exponential decay in the case n > 2, as time goes to infinity, of regular solutions for the nonlinear beam equation with memory and weak damping utt + ∆2u− M(‖∇u‖L2(Ωt))∆u + ∫ t 0 g(t − s)∆u(s)ds + αut = 0 in ∧ Q in a noncylindrical domain of Rn+1 (n ≥ 1) under suitable hypothesis on the scalar functions M and g, and where α is a positive constant. We establish existence and unique...

Energy Decay Rate for the Kirchhoff Type Wave Equation with Acoustic Boundary

In this paper, we study uniform exponential stabilization of the vibrations of the Kirchhoff type wave equation with acoustic boundary in a bounded domain in Rn. To stabilize the system, we incorporate separately, the passive viscous damping in the model as like Gannesh C. Gorain [1]. Energy decay rate is obtained by the exponential stability of solutions by using multiplier technique.

the past hospitalization and its association with suicide attempts and ideation in patients with mdd and comparison with bmd (depressed type) group

چکیده ندارد.

Stability Criteria for Cascaded Nonlinear Stochastic Systems Admitting Not Necessarily Unbounded Decay Rate

This paper considers global asymptotic stability and robustness of cascaded nonlinear stochastic systems, and presents Lyapunov-based criteria. Constituent systems are characterized in terms of dissipation inequalities almost in the form of input-to-state stability (ISS) which is popular for both stochastic and deterministic systems. As an important unique feature of stochastic systems, this pa...