Note 7 - Stockholders' Equity (Details Textual) | | | | | | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended | |
Sep. 03, 2024 USD ($) $ / shares shares | Aug. 29, 2024 $ / shares shares | May 30, 2024 | Feb. 09, 2024 USD ($) $ / shares shares | Apr. 12, 2022 USD ($) | Sep. 30, 2024 USD ($) $ / shares shares | Sep. 30, 2023 USD ($) shares | Jun. 30, 2023 USD ($) shares | Sep. 30, 2024 USD ($) $ / shares shares | Sep. 30, 2023 USD ($) | Dec. 31, 2023 USD ($) $ / shares shares | Dec. 06, 2023 |
Common Stock, Shares Authorized (in shares) | shares | | | | | | 50,000,000 | | | 50,000,000 | | 100,000,000 | |
Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares | | | | | | $ 0.001 | | | $ 0.001 | | $ 0.001 | |
Class of Warrant or Right, Exercise Price of Warrants or Rights | $ / shares | | | | | | $ 3.1 | | | $ 3.1 | | $ 94.5 | |
Payments of Stock Issuance Costs | $ | | | | | | | | | $ 1,228,000 | $ 435,000 | | |
Proceeds from Issuance of Common Stock | $ | | | | | | | | | $ 10,513,000 | $ 3,042,000 | | |
Common Warrants With Stock [Member] | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights | shares | | 1,377,990 | | | | 2,400,000 | | | 2,400,000 | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights | $ / shares | $ 3 | $ 3 | | | | | | | | | | |
Common Warrants With Stock [Member] | Company Directors and Executive Officers [Member] | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights | shares | | 211,000 | | | | | | | | | | |
Common Warrants Issued With Warrants [Member] | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights | shares | | 1,022,010 | | | | | | | | | | |
Prefunded Warrants [Member] | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights | shares | | 1,022,010 | | | | | | | | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights | $ / shares | | $ 2.999 | | | | | | | | | | |
Warrants To Purchase Common Stock [Member] | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights | shares | | | | 67,104 | | | | | | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights | $ / shares | | | | $ 6.6 | | | | | | | | |
Common Stock In 2024 Agreement [Member] | | | | | | | | | | | | |
Stock Issued During Period, Shares, New Issues | shares | | 1,377,990 | | | | | | | | | | |
Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares | | $ 0.001 | | | | | | | | | | |
Common Warrants With Stock [Member] | | | | | | | | | | | | |
Stock Issued During Period, Shares, New Issues | shares | 2,400,000 | | | | | | | | | | | |
September 2024 Financing [Member] | | | | | | | | | | | | |
Proceeds from Issuance or Sale of Equity | $ | $ 7,200,000 | | | | | | | | | | | |
Payments of Stock Issuance Costs | $ | $ 926,000 | | | | | | | | | | | |
September 2024 Financing [Member] | Company Directors and Executive Officers [Member] | | | | | | | | | | | | |
Stock Issued During Period, Shares, New Issues | shares | | | | | | | | | 211,000 | | | |
February 2024 Financing [Member] | | | | | | | | | | | | |
Stock Issued During Period, Shares, New Issues | shares | | | | 134,199 | | | | | | | | |
Proceeds from Issuance or Sale of Equity | $ | | | | $ 875,000 | | | | | | | | |
Payments of Stock Issuance Costs | $ | | | | $ 43,000 | | | | | | | | |
Sales Agreement with Cantor Fitzgerald Co (Cantor) [Member] | | | | | | | | | | | | |
Stock Issued During Period, Shares, New Issues | shares | | | | | | 0 | 2,219 | 11,209 | 412,239 | | | |
Payments of Stock Issuance Costs | $ | | | | | | $ 0 | $ 48,000 | $ 90,000 | $ 103,000 | | | |
Sale of Stock, Aggregate Value, Maximum | $ | | | | | $ 10,500,000 | | | | | | | |
Accrued Sales Commission, Current, Percentage | | | | | 3% | | | | | | | |
Proceeds from Issuance of Common Stock | $ | | | | | | 0 | $ 93,000 | $ 395,000 | 2,400,000 | | | |
Sales Agreement With H.C. Wainwright & Co., LLC [Member] | | | | | | | | | | | | |
Sale of Stock, Aggregate Value, Maximum | $ | | | | | | | | | | | $ 2,750,000 | |
Accrued Sales Commission, Current, Percentage | | | | | | | | | | | | 3% |
Sale of Stock, Available Value | $ | | | | | | $ 264,000 | | | $ 264,000 | | | |
Reverse Stock Split [Member] | | | | | | | | | | | | |
Stockholders' Equity Note, Stock Split, Conversion Ratio | | | 15 | | | | | | | | | |