Examples would be:

A school that refuses to educate a child or puts conditions that the child or the child’s parents cannot possibly or reasonably meet as a condition of educating the student.

Another example would be if a state vocational rehabilitation office refuses to provide job training funding unless the client fulfills requirements that the client cannot possibly meet or reasonably meet as a condition of funding.

If a private company breached its obligations to its clients or customers, the name of the court action would be “Breach of Contract”. What is the name of the legal term used to take action against a government agency for breaching or failing to perform its duties and obligations to the public?
I meant no education at all and not mearly an unsatisfactory one due to conditions beyond the control of the parents. Education is a specific obligation the government has towards children in every jurisdiction in the United States.

I was asking what is the term when mandatory obligations such as education are not met.