ABSTRACT
Thus, even the analyticity of the functions I, m, n, and / does not guarantee the continuity or boundedness of the solutions of equation (15.1). Nevertheless, if the operator K is bounded in the space C(T x S) or Loo(T x S), the operator I - K is invertible, and the function / in equation (15.1) is continuous, then every bounded solution x of (15.1) is continuous.
