\documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
The dependance of the dust grain charged on the grain potential is taken into account. The poisson equation for small potentials takes then the form of the Schr?dinger equation. The spatial distribution of the potential in the lattice includes the effect of whole system of dust particles. Such a self consistent description gives the dispersion relation for the dust lattice waves, different the expression found earlier. it is shown that for the existence of ideal lattice the dusty plasma parameters must satisfy the definite relation.
\end{document}