Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 116, pp. 1-7.

Title: Solvability of some integral equations in Hilbert spaces

Author: Onur Alp Ilhan (National Univ. of Uzbekistan, Tashkent, Uzbekistan)

Abstract: 
 We consider an integral equation of Fredholm and Volterra type
 with spectral parameter depending on time. Conditions of
 solvability are established when the initial value of the
 parameter coincides with an eigenvalue of Fredholm operator.
 
Submitted August 25, 2004. Published October 5, 2004.
Math Subject Classifications: 45A05.
Key Words: Integral equations; compact operators; spectral theory.