Convergence to equilibria in a differential equation with small delay
Convergence to equilibria in a differential equation with small delay
Consider the delay differential equation where is a constant and is Lipschitzian. It is shown that if is small, then the solutions of (1) have the same convergence properties as the solutions of the ordinary differential equation obtained from (1) by ignoring the delay.
Coordinate description of analytic relations
In this paper we present an algebraic approach that describes the structure of analytic objects in a unified manner in the case when their transformations satisfy certain conditions of categorical character. We demonstrate this approach on examples of functional, differential, and functional differential equations.
Correction : “On two transfer principles in stochastic differential geometry”
Corrections to "Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas" (Dissertationes Math. 291 (1990))
Criteria for oscillation of solutions of two-dimensional differential systems with deviating arguments.