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Weak and strong topologies and integral equations in Banach spaces

100%

O'Regan D.

Annales Polonici Mathematici

1995

tom 61

nr 3

245-260

The Schauder-Tikhonov theorem in locally convex topological spaces and an extension of Krasnosel'skiĭ's fixed point theorem due to Nashed and Wong are used to establish existence of $L^α$ and C solutions to Volterra and Hammerstein integral equations in Banach spaces.

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

75%

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 Annales Polonici Mathematici

1 Nonautonomous Dynamical Systems

1 O'Regan D.

1 Raffoul Y.

1 Rai H.

1 2016

1 1995

Wyniki wyszukiwania

Weak and strong topologies and integral equations in Banach spaces

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