A district created under this chapter shall continue in existence in perpetuity unless dissolved by ordinance of the governing body of the city. However, no district shall be dissolved at any time during which there shall be outstanding bonded indebtedness of the district unless funds sufficient to retire the indebtedness, including all interest, redemption premiums, if any, trustee's and paying agent's fees, and cost of publication of notice of redemption, shall have been deposited in trust according to the terms of the resolution or trust indenture authorizing the bonded indebtedness.