INTEGRO-DIFFERENTIAL EQUATIONSOF FIRST ORDERWITH AUTOCONVOLUTION INTEGRAL

摘要

In the paper two classes of first order integro-differential equations with autoconvolution integral are stud-ied generalizing an equation of J. M. Burgers from the tur-bulence theory. General existence and stability theorems in afinite interval are proved and the asymptotic behavior of thesolutions at infinity is discussed.