Ayfer KURT

5273

Asymptotic Behavior of the Zero Solutions to Generalized Pipe and Rotating Shaft Equations

A non-autonomous partial differential equation describing the dynamics of a uniform pipe and a system describing the dynamics of a rotating shaft are considered.Sufficient conditions for the global asymptotic stability of the zero solution of the boundary value problem for the differential equation and the system under consideration are established by using the Lyapunov function technique.

Anahtar Kelimeler:

Stability, Lyapunov function

Asymptotic Behavior of the Zero Solutions to Generalized Pipe and Rotating Shaft Equations

A non-autonomous partial differential equation describing the dynamics of a uniform pipe and a system describing the dynamics of a rotating shaft are considered.Sufficient conditions for the global asymptotic stability of the zero solution of the boundary value problem for the differential equation and the system under consideration are established by using the Lyapunov function technique.

Keywords:

Stability, Lyapunov function,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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