Shahsavaran, Numerical solution of nonlinear Fredholm
and Volterra integral equations of the second kind using Haar wavelets and collocation method, J.
Booss-Bavnebak and Zhu consider a curve of Fredholm
pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures.
The first Ne rows of SLAE follow from the Fredholm
integral equation of the first kind for potentials on the surface of a current-carrying strand (electrode).
Also, some researchers have solved one-dimensional fuzzy Fredholm
integral equations by using fuzzy interpolation via iterative method such as: iterative interpolation method , Lagrange interpolation based on the extension principle , and spline interpolation .
H, Magnusson K, Lindstrom LS, Garmo H, Falt SE, Lindman H, Bergh J, Holmberg L, Ponten F, Frisell J, Fredriksson I.
These equations are considered the Fredholm
integral equations of the first kind with respect to the normal derivative qi on the interface [psi].sub.1] and to the normal derivative [[??].sub.3] on the interface [psi].sub.2], respectively.
This general class of such integral equations, known as "Fredholm
integral equations of the second kind," is a common way of describing different physical phenomena in a variety of scientific fields.
This is because of the inherent quality of the Fredholm
integral equation of the second kind, where the boundary conditions are naturally imbedded.
In this paper, we give solutions by means of Fredholm
determinants of order 2N depending on 2N - 1 parameters and then by means of Wronskians of order 2N with 2N - 1 parameters.
A is semi--Fredholm, [lambda] [member of] [[PHI].sub.sf] (A) or A - [lambda] [member of] [[PHI].sub.sf] (X), if A - [lambda] is either upper or lower semi--Fredholm, and A is Fredholm
, [lambda] [member of] [PHI](A) or A - [lambda] [member of] [PHI](X), if A - [lambda] is both upper and lower semi--Fredholm.
BB, IJzerman AP, Jacobson KA, Linden J, Muller CE.