In this paper we study asymptotic behavior of solutions of second order neutral functional differential equation of the form We present conditions under which all nonoscillatory solutions are asymptotic to as , with . The obtained results extend those that are known for equation
We study asymptotic properties of solutions of the system of differential equations of neutral type.
We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order with impulses at fixed points.
This paper is concerned with the existence of solutions for some class of functional integrodifferential equations via Leray-Schauder Alternative. These equations arised in the study of second order boundary value problems for functional differential equations with nonlinear boundary conditions.
Algorithms for finding an approximate solution of boundary value problems for systems of functional ordinary differential equations are studied. Sufficient conditions for consistency and convergence of these methods are given. In the last section, a construction of methods of arbitrary order is presented.
We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent')...