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Note 5 - Stockholders' Equity (Details Textual) - USD ($)
 9 Months Ended
May 06, 2024
May 01, 2024
Apr. 05, 2024
Feb. 01, 2024
Jan. 30, 2024
Sep. 11, 2023
Apr. 03, 2023
Jan. 04, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Common Stock, Shares Authorized (in shares)                 280,000,000   280,000,000
Common Stock, Par or Stated Value Per Share (in dollars per share)                 $ 0.01   $ 0.01
Reverse stock split fractional share settlement     15                
Warrants and Rights Outstanding                 $ 1,557,470   $ 272,211
Proceeds from issuance of common stock and warrants                 4,000,000 $ 9,419,000  
Payment of equity issuance costs                 $ 456,000 $ 567,000  
Common stock, shares outstanding (in shares)                 1,198,516   618,056
Common stock, shares issued (in shares)                 1,198,516   618,056
Pre Funded Warrants [Member]                      
Warrants to purchase shares of common stock 530,142               312,000    
Warrants exercise price of common stock Warrants $ 0.0001                    
Replacement Warrants [Member]                      
Warrants exercise price of common stock Warrants       $ 10.97              
Date of issuance of warrant       5 years              
Series 2 Warrants [Member]                      
Common stock warrants                 9,414    
Five Lakh Thirty Thousand One Hundred and Forty Two [Member]                      
Warrants exercise price of common stock Warrants                 $ 0.0001    
Common stock warrants                 312,000    
Nine Lakh Twenty Two Thousand Eight Hundred and Sixty Three Common Stock [Member]                      
Warrants exercise price of common stock Warrants                 $ 6.314    
Common stock warrants                 922,863    
Two Lakh Twenty Eight Thousand One Hundred and Fifty Eight Common Stock [Member]                      
Warrants exercise price of common stock Warrants                 $ 10.97    
Common stock warrants                 228,158    
Nine Thousand Four Hundred And Fourteen Common Stock [Member]                      
Warrants exercise price of common stock Warrants                 $ 6.314    
Common stock warrants                 9,414    
Eighty Five Thousand Two Hundred and Fifteen Common Stock [Member]                      
Common stock warrants                 85,035    
Weighted-average exercise price                 $ 297.45    
Private Placement [Member]                      
Warrants to purchase shares of common stock   922,863                  
Warrants exercise price of common stock Warrants   $ 6.314                  
Date of issuance of warrant   7 years                  
Private Placement [Member] | Pre Funded Warrants [Member]                      
Warrants to purchase shares of common stock   530,142                  
Warrants exercise price of common stock Warrants   $ 0.0001                  
Common stock warrants   6.5014                  
May 2024 Placement Agent Warrants [Member]                      
Warrants to purchase shares of common stock   36,914                  
Warrants exercise price of common stock Warrants   $ 10.727                  
Date of issuance of warrant   5 years                  
May Two Thousand Twenty Four Offering [Member]                      
Sale of stock during period   85,100                  
Proceeds from issuance of common stock and warrants $ 4,000,000                    
Payment of equity issuance costs 500,000                    
Net Proceeds 3,500,000                    
Grant date fair value $ 200,000                    
May Two Thousand Twenty Four Offering [Member] | Unregistered Shares [Member]                      
Shares Sold, Price Per Share   $ 6.5015                  
February 2024 Warrant Inducement [Member]                      
Warrants to purchase shares of common stock         228,162            
Net proceeds from exercise of warrants       $ 2,200,000              
Gross proceeds from the exercise of warrants       2,500,000              
Warrants exercise price of common stock Warrants         $ 10.97            
Total equity issuance costs         $ 2,400,000            
Non-cash warrant modification costs         2,000,000            
Payment of equity issuance costs       2,000,000 $ 300,000            
Cash transaction-related expenses And placement agent fees       $ 300,000              
Common stock warrants         228,162            
February 2024 Warrant Inducement [Member] | Replacement Warrants [Member]                      
Warrants to purchase shares of common stock         228,162            
February 2024 Warrant Inducement [Member] | May 2022 Warrants [Member]                      
Common stock warrants         4,865            
February 2024 Warrant Inducement [Member] | Series 2 Warrants [Member]                      
Common stock warrants         4,267            
February 2024 Warrant Inducement [Member] | January 2023 Warrants [Member]                      
Common stock warrants         67,511            
February 2024 Warrant Inducement [Member] | April 2023 Warrants [Member]                      
Common stock warrants         151,519            
Placement Agent Warrants [Member]                      
Warrants exercise price of common stock Warrants         $ 10.97            
Out-of-pocket expenses         $ 35,000            
Non-cash warrant issuance costs         $ 100,000            
Percentage of gross proceeds         7.75%            
Percentage of share issued         6.00%            
Date of issuance of warrant         5 years            
Common Stock [Member]                      
Issuance of stock during period, Shares     15                
Common Stock [Member] | Maximum [Member]                      
Reverse stock split fractional share settlement     12,771,015                
Common Stock [Member] | Minimum [Member]                      
Reverse stock split fractional share settlement     851,302                
Series A 4.5% Convertible Preferred Stock [Member]                      
Preferred Stock, Shares Authorized (in shares)                 1,000,000    
Preferred Stock, Par or Stated Value Per Share (in dollars per share)                 $ 0.01    
Convertible Preferred Stock, Issuable Upon Conversion of All Shares (in shares)                 8    
Series A Preferred Stock [Member]                      
Preferred Stock, Shares Authorized (in shares)                 7,000,000   7,000,000
Preferred Stock, Par or Stated Value Per Share (in dollars per share)                 $ 0.01   $ 0.01
Preferred stock, shares outstanding (in shares)                 200,000   200,000
Common stock, shares outstanding (in shares)                 200,000    
Common stock, shares issued (in shares)                 200,000    
September 2023 Offering [Member]                      
Proceeds from issuance of common stock and warrants           $ 2,000,000          
Payment of equity issuance costs           300,000          
Net Proceeds           $ 1,700,000          
April 2023 Offering [Member]                      
Proceeds from issuance of common stock and warrants             $ 6,000,000        
Payment of equity issuance costs             700,000        
Net Proceeds             $ 5,300,000        
January 2023 Offering [Member]                      
Proceeds from issuance of common stock and warrants               $ 2,500,000      
Payment of equity issuance costs               300,000      
Net Proceeds               $ 2,200,000