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Note 4 - Stockholders' Equity (Details Textual) - USD ($)
1 Months Ended 3 Months Ended 4 Months Ended 9 Months Ended
May 31, 2020
Jan. 31, 2020
Aug. 31, 2017
Dec. 31, 2016
Sep. 30, 2020
Sep. 30, 2019
Jul. 31, 2019
Sep. 30, 2020
Sep. 30, 2019
Dec. 31, 2019
Share-based Compensation Arrangement by Share-based Payment Award, Expiration Period (Year)               10 years    
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Available for Grant (in shares)         7,100,000     7,100,000    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value (in dollars per share)               $ 0.52 $ 3.45  
Additional Research and Development Expense Due to Modifications                 $ 102,000  
Proceeds from Warrant Exercises               $ 3,547,894 131  
Warrant Inducement Expense           5,620,089  
Proceeds from Issuance of Common Stock, Net               $ 11,150,318 $ 6,552,842  
Private Placement [Member]                    
Conversion of Stock, Shares Converted (in shares)             800,000      
Stock Issued During Period, Shares, Conversion of Convertible Securities (in shares)             155,496      
May 2020 Offering [Member]                    
Stock Issued During Period, Shares, New Issues (in shares) 5,000,000                  
Shares Issued, Price Per Share (in dollars per share) $ 1                  
Proceeds from Issuance of Common Stock $ 5,000,000                  
Proceeds from Issuance of Common Stock, Net $ 4,400,000                  
Series A 4.5% Convertible Preferred Stock [Member] | Private Placement [Member]                    
Stock Issued During Period, Shares, New Issues (in shares)       200,000            
Preferred Stock, Dividend Rate, Percentage       4.50%            
Convertible Preferred Stock, Issuable Upon Conversion of All Shares (in shares)       38,873            
Stock Purchase Warrants [Member]                    
Class of Warrant or Right, Issued During Period (in shares) 87,309   112,500              
Class of Warrant or Right, Outstanding (in shares)         149,136     149,136    
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)   $ 1.36     $ 0.90     $ 0.90   $ 2.70
Class of Warrant or Right, Exercised During Period (in shares)   5,555,554                
Class of Warrant or Right, Exercised During Period, Exercise Price (in dollars per share)   $ 1.36                
Proceeds from Warrant Exercises   $ 7,600,000                
Warrant Inducement Expense               $ 5,600,000    
Replacement Stock Purchase Warrants [Member]                    
Class of Warrant or Right, Outstanding (in shares)   5,555,554                
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)   $ 1.23                
Stock Purchase Warrants With 2 Year Term [Member]                    
Class of Warrant or Right, Outstanding (in shares)   2,777,777                
Warrants and Rights Outstanding, Term (Year)   2 years                
Stock Purchase Warrants With 5 Year Term [Member]                    
Class of Warrant or Right, Outstanding (in shares)   2,777,777                
Warrants and Rights Outstanding, Term (Year)   5 years                
Placement Agent Stock Purchase Warrants [Member]                    
Class of Warrant or Right, Issued During Period (in shares) 400,000 444,445                
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) $ 1.25 $ 1.70                
Warrants and Rights Outstanding, Term (Year) 5 years 5 years                
Share-based Payment Arrangement, Option [Member]                    
Share-based Payment Arrangement, Nonvested Award, Option, Cost Not yet Recognized, Amount         $ 587,000     $ 587,000    
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition (Year)               2 years 182 days    
Restricted Stock Units (RSUs) [Member]                    
Share-based Payment Arrangement, Nonvested Award, Option, Cost Not yet Recognized, Amount         $ 8,000     $ 8,000    
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition (Year)               182 days    
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Granted (in shares)               24,000 4,904  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value               $ 23,400 $ 6,400  
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Outstanding, Number, Ending Balance (in shares)         28,904     28,904    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Weighted Average Grant Date Fair Value (in dollars per share)         $ 1.58     $ 1.58    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Outstanding         $ 16,800     $ 16,800    
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Exercised (in shares)               563 1,126  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Vested               $ 300 $ 10,400  
Restricted Stock [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Weighted Average Grant Date Fair Value (in dollars per share)         $ 5.90 $ 9.73   $ 5.90 $ 9.73  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Outstanding         $ 2,600 $ 14,500   $ 2,600 $ 14,500  
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Exercised (in shares)               0 15,688  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value (in dollars per share)                 $ 5.95  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number, Ending Balance (in shares)         0     0