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Ultimate boundedness of some third order ordinary differential equations

Anthony Uyi Afuwape, Mathew Omonigho Omeike (2012)

Mathematica Bohemica

We prove the ultimate boundedness of solutions of some third order nonlinear ordinary differential equations using the Lyapunov method. The results obtained generalize earlier results of Ezeilo, Tejumola, Reissig, Tunç and others. The Lyapunov function used does not involve the use of signum functions as used by others.

Une remarque sur l'évaluation de la région d'attraction de la solution banale d'un système d'équations différentielles piloté avec le paramètre retardé

Z. Mikołajska (1972)

Annales Polonici Mathematici

Uniform exponential stability of linear almost periodic systems in Banach spaces.

Cheban, D.N. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Uniform exponential stability of linear periodic systems in a Banach space.

Cheban, D.N. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals

Youssef Raffoul, Habib Rai (2016)

Nonautonomous Dynamical Systems

In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10] to obtain criterion for the stability of the zero solution of the infinite delay nonlinear Volterra integro-differential equation [...]