All of them must always maintain respect and compassion to the other. However, a husband must maintain his family and provide for their needs. He is also responsible for raising and educating his children. The children must be dutiful and observe the highest respect. Other than this, there are no specific duties.

Your obligation in Islam is to your husband and children just as his is to you. Anything in addition to this is a form of respect and compassion (towards the in laws) and not necessarily an obligation