Branching of solutions of smooth Fredholm equations

1984 ◽  
pp. 31-53 ◽  
Author(s):  
Yu. I. Sapronov
Keyword(s):  
Fredholm Equations ◽  
Branching Of Solutions

On The Determination of the Eigenfunctions of Fredholm Equations

1948 ◽  
Vol 27 (1-4) ◽  
pp. 82-83 ◽  
Author(s):  
G. F. Carrier
Keyword(s):  
Fredholm Equations

Asymmetric three-dimensional Stokes flows about two fused equal spheres

2007 ◽  
Vol 463 (2085) ◽  
pp. 2329-2350 ◽  
Author(s):  
Michael Zabarankin
Keyword(s):  
Meromorphic Functions ◽  
Three Dimensional ◽  
The Body ◽  
Fredholm Integral Equations ◽  
Rigid Spheres ◽  
Riemann Boundary ◽  
Fredholm Equations ◽  
Flow Problems ◽  
Toroidal Coordinates ◽  
Class Of Functions

Exact solutions to three-dimensional Stokes flow problems for asymmetric translation and rotation of two fused rigid spheres of equal size have been obtained in toroidal coordinates. The problems have been reduced to three-contour equations for meromorphic functions from a certain class, and then the latter have been reduced to Fredholm integral equations of the second kind by the Mehler–Fock transform of order 1. For the specified class of functions, the equivalence of the corresponding three-contour and Fredholm equations has been established in the framework of Riemann boundary-value problems for analytic functions. As an illustration for the obtained solutions, the pressure has been calculated at the surface of the body for both problems, and resisting force and torque, experienced by the body in asymmetric translation and rotation, have been computed as functions of a geometrical parameter of the body.

Solution of multi-dimensional Fredholm equations using Legendre scaling functions

2020 ◽  
Vol 150 ◽  
pp. 313-324 ◽  
Author(s):  
Harendra Singh ◽  
D. Baleanu ◽  
H.M. Srivastava ◽  
Hemen Dutta ◽  
Navin Kumar Jha
Keyword(s):  
Scaling Functions ◽  
Fredholm Equations

scholarly journals Fredholm equations for non-symmetric kernels with applications to iterated integral operators

2008 ◽  
Vol 204 (1) ◽  
pp. 499-507 ◽  
Author(s):  
Christopher S. Withers ◽  
Saralees Nadarajah
Keyword(s):  
Integral Operators ◽  
Fredholm Equations ◽  
Iterated Integral
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