The problem: You hand over a task or job to your team, to your employees and later you find out that nobody cared.
When appealing for something to be done too often nobody feels to act upon. Your team is simply ignoring your calls for action.
The reason: You did not define a responsible person.
Shared responsibility is the problem. If more than one person are called for responsibility regarding an issue each of them feels the security that there are coworkers who also think about the issue and now or then nobody will take action.
The solution: Define a single responsible person and define well the issue.
It is important that only a single person is responsible for a specific realm, project (or part of it) that can be clearly confined. There can only be one - like the story with the highlanders. There will be one or none responsible.