Context : According to models of evolution in the hierarchical structure formation scenarios , voids of galaxies are expected to expand .
The Local Void ( LV ) is the closest large void , and it provides a unique opportunity to test observationally such an expansion .
It has been found that the Local Group , which is on the border of the LV , is running away from the void center at \sim 260 km s ^ { -1 } .

Aims : In this study we investigate the motion of the galaxies at the far-side border of the LV to examine the presence of a possible expansion .

Methods : We selected late-type , edge-on spiral galaxies with radial velocities between 3000 km s ^ { -1 } and 5000 km s ^ { -1 } , and carried out HI 21 cm line and H -band imaging observations .
The near-infrared Tully-Fisher relation was calibrated with a large sample of galaxies and carefully corrected for Malmquist bias .
It was used to compute the distances and the peculiar velocities of the LV sample galaxies .
Among the 36 sample LV galaxies with good quality HI line width measurements , only 15 galaxies were selected for measuring their distances and peculiar velocities , in order to avoid the effect of Malmquist bias .

Results : The average peculiar velocity of these 15 galaxies is found to be -419 ^ { +208 } _ { -251 } km s ^ { -1 } , which is not significantly different from zero .

Conclusions : Due to the intrinsically large scatter of Tully-Fisher relation , we can not conclude whether there is a systematic motion against the center of the LV for the galaxies at the far-side boundary of the void .
However , our result is consistent with the hypothesis that those galaxies at the far-side boundary have an average velocity of \sim 260 km s ^ { -1 } equivalent to what is found at the position of the Local Group .