On solutions of differential-functional equations of neutral type

R.I. Kachurivsky

On solutions of differential-functional equations of neutral type

Authors

R.I. Kachurivsky Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., 01601, Kyiv, Ukraine

Keywords:

differential-functional equation, bounded solution, sequential approximations

Published online: 2011-12-29

Abstract

We obtain sufficient conditions for existence of continuously differentiable solutions of differential-functional equations of neutral type with linear deviations of the argument bounded on $t\in\mathbb{R}^-$ . We also investigate the structure of these solutions.