INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES, cilt.5, sa.8, ss.1284-1289, 2010 (SCI-Expanded)
In this work, first, we construct Frenet-Serret frame of a curve in the Galilean 4-space. As a result of this, we obtain the mentioned curve's Frenet-Serret equations. Then, we prove that tangent vector of a curve in Galilean 4-space satisfies a vector differential equation of fourth order. Additionally, some characterizations of Galilean spherical curves and an example of the main results are presented.