The Pulse Secure Linux client is was developed for command-line usage. (For the complete installation and usage guide, see KB40126
Therefore, If the .deb file is launched by double-clicking the package installer, Ubuntu will attempt to install the package using the Software Center installation utility as expected but since Pulse Secure Linux has no GUI interface, and this is detected by the Software Center, errors occur and the package does not get installed properly.
When the Pulse Secure Linux client is installed via command-line there are no errors and the installation is successful. (Refer to KB40126
for the complete installation and usage guide.)for Debian-based installation
dpkg -i <package name>
for RPM-based installation
rpm -ivh <package name>
This issue is resolved in the 8.1R8 release.