The Massera-Schäffer problem for a first order linear differential equation
Nina A. Chernyavskaya, Leonid A. Shuster (2022)
Czechoslovak Mathematical Journal
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We consider the Massera-Schäffer problem for the equation where and By a solution of the problem we mean any function absolutely continuous and satisfying the above equation almost everywhere in Let positive and continuous functions and for be given. Let us introduce the spaces We obtain requirements to the functions , and under which (1) for every function there exists a unique solution of the above equation; (2) there is an absolute constant...