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Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations

100%

Dorociaková B., Olach R.

Open Mathematics

2016

tom 14

nr 1

361-369

The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered.

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

100%

Raffoul Y., Rai H.

Nonautonomous Dynamical Systems

2016

tom 3

nr 1

14-23

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 [...]

Ograniczanie wyników

1 Nonautonomous Dynamical Systems

1 Open Mathematics

1 Dorociaková B.

1 Olach R.

1 Raffoul Y.

1 Rai H.

2 2016

Wyniki wyszukiwania

Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations

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