On a Class of Solutions of the Nonlinear Integral Fredholm Equation

2019 ◽  
pp. 191-197
Author(s):  
Akylbek Kerimbekov
Keyword(s):  
Fredholm Equation ◽  
Integral Fredholm Equation

scholarly journals Integral Equations for Problems on Wave Propagation in Near-Earth Plasma

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1395
Author(s):  
Danila Kostarev ◽  
Dmitri Klimushkin ◽  
Pavel Mager
Keyword(s):  
Magnetic Field ◽  
Integral Equations ◽  
Field Potential ◽  
Low Frequency ◽  
Fredholm Equation ◽  
Compression Waves ◽  
Parallel Component ◽  
Electric Field Potential ◽  
The Magnetic Field ◽  
Low Frequency Waves

We consider the solutions of two integrodifferential equations in this work. These equations describe the ultra-low frequency waves in the dipol-like model of the magnetosphere in the gyrokinetic framework. The first one is reduced to the homogeneous, second kind Fredholm equation. This equation describes the structure of the parallel component of the magnetic field of drift-compression waves along the Earth’s magnetic field. The second equation is reduced to the inhomogeneous, second kind Fredholm equation. This equation describes the field-aligned structure of the parallel electric field potential of Alfvén waves. Both integral equations are solved numerically.

Identifiability and stability of an inverse problem involving a Fredholm equation

2015 ◽  
Vol 36 (5) ◽  
pp. 737-762
Author(s):  
Carlos Conca ◽  
Rodrigo Lecaros ◽  
Jaime H. Ortega ◽  
Lionel Rosier
Keyword(s):  
Inverse Problem ◽  
Fredholm Equation
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