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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         3.00%              
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                       3.00%
Sale of Stock, Available Value | $           $ 264,000     $ 264,000      
Reverse Stock Split [Member]                        
Stockholders' Equity Note, Stock Split, Conversion Ratio     15