Conditions for solvability of homogeneous Riemann boundary-value problems with infinite index (Q1190037)

The author considers the Riemann boundary value problem \(\Phi^ +(t)=G(t)\Phi^ -(t)\), \(1<t<\infty\), where the given function \(G\) is continuous and nonvanishing on \([1,\infty[\). The problem is discussed under some weaker conditions on the behavior of the argument of \(G\) at infinity. Some theorems on the existence of solutions are established.