On the existence of mild solutions for neutral functional differential inclusions in Banach space.
The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation where , and . By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of () is either oscillatory or converges to zero. These results improve some known results in the literature. Two examples are given to illustrate the main results.
The problems of both single and multiple delays for neutral-type uncertain systems are considered. First, for single neutral time delay systems, based on a Razumikhin-type theorem, some delay-dependent stability criteria are derived in terms of the Lyapunov equation for various classes of model transformation and decomposition techniques. Second, robust control for neutral systems with multiple time delays is considered. Finally, we demonstrate numerical examples to illustrate the effectiveness...
The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equation to be oscillatory and to improve some existing results. The main results are based on the comparison principles.
In this paper, oscillattion and nonoscillation criteria are established for neutral differential equations with positive and negative coefficients. Our criteria improve and extend many results known in the literature.