Normal solvability

of an integral equation

The property that a linear integral equation is solvable if and only if its right-hand side is orthogonal to all solutions of the corresponding homogeneous adjoint equation. Under appropriate conditions a Fredholm equation, a singular integral equation and an integral equation of convolution type are normally solvable.

References

[a1]	S. Goldberg, "Unbounded linear operators" , McGraw-Hill (1966)
[a2]	T. Kato, "Perturbation theory for linear operators" , Springer (1980)
[a3]	P.P. Zabreiko (ed.) A.I. Koshelev (ed.) M.A. Krasnoselskii (ed.) S.G. Mikhlin (ed.) L.S. Rakovshchik (ed.) V.Ya. Stet'senko (ed.) T.O. Shaposhnikova (ed.) R.S. Anderssen (ed.) , Integral equations - a reference text , Noordhoff (1975) (Translated from Russian)