The Department of Finance of New Castle County or Board of Assessments for Kent County or Board of Assessments for Sussex County may promulgate such rules and regulations and prescribe such forms as they shall deem necessary to implement this subchapter. They may, in their discretion, eliminate the necessity for sworn application, in which event all declarations by the claimant shall be considered as if made under oath and the claimants, as to false declarations, shall be subject to the penalties as provided by law for perjury.