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Note 10 - Licensing and Research Funding Agreements (Details Textual) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Aug. 17, 2022
Jun. 30, 2019
Dec. 31, 2021
Mar. 31, 2023
Sep. 30, 2020
Mar. 18, 2020
AEROSURF Funding Term Sheet [Member] | Lee’s Pharmaceutical Holdings Limited [Member]            
Nonrefundable Payments, Maximum Financing to Be Received Under Special Circumstances         $ 2.8  
Term Sheet With Lee [Member]            
Proceeds for Payments to Develop Product     $ 1.0      
Financing of Product, Percent of Financing That Must be Repaid to Discontinue Revenue Sharing           125.00%
Financing of Product, Percent of Revenue Shared With Financer           50.00%
Term Sheet With Lee [Member] | Other Liabilities [Member]            
Contractual Obligation, Total       $ 3.8    
A&R License Agreement With Lee [Member]            
Proceeds for Payments to Develop Product   $ 1.0        
Maximum Amount May be Received for Potential Milestone Payments $ 78.9