Does the financial assistance the husband received from the hospital after his wife's death count as an inheritance to be distributed among the heirs, or is it considered a special expense for the husband and those he supports?

To determine who is eligible for assistance, one refers to the conditions and regulations of the granting entity, as this assistance is not part of the deceased's estate. Muslims are bound by their conditions, unless a condition makes lawful what is unlawful, or unlawful what is lawful.