Aram,
Sorry you ran into this issue. On some systems there is an incompatibility with the mozilla libraries (xulrunner). You may be hitting this problem. Please try the following:
Open a terminal and switch to the directory in which MyEclipse is installed (probably /home/<user>/MyEclipse\ Blue\ Edition\ 9). Enter the following commands:
export MOZILLA_FIVE_HOME=
./myeclipse-blue
If this works, you could probably set up a launcher to perform these steps or set the MOZILLA_FIVE_HOME variable to null in your .profile file.
Please let us know if this works.