We study the problem without initial conditions for linear and almost linear degenerate operator differential equations in Banach spaces. The uniqueness of a solution of this problem is proved in the classes of bounded functions and functions with exponential behavior as t → –∞. We also establish sufficient conditions for initial data under which there exists a solution of the considered problem in the class of functions with exponential behavior at infinity.
Citation Example:Dmytryshyn Yu. B. Problem without initial conditions for linear and almost linear degenerate operator differential equations // Ukr. Mat. Zh. - 2009. - 61, № 3. - pp. 322-332.
