Some uniqueness results for impulsive semilinear neutral functional-differential equations.
The objective in these notes is to present an approach to dynamical systems in infinite dimensions. It does not seem reasonable to make a comparison of all of the orbits of the dynamics of two systems on non locally compact infinite dimensional spaces. Therefore, we choose to compare them on the set of globally defined bounded solutions. Fundamental problems are posed and several important results are stated when this set is compact. We then give results on the dynamical system which will ensure...
The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the th order neutral differential equation where is a delayed or advanced argument.
Necessary and sufficient conditions have been found to force all solutions of the equation to behave in peculiar ways. These results are then extended to the elliptic equation where is the Laplace operator and is an integer.