Non-linear Generalized Integral Equations

2016 ◽  
pp. 395-397
Author(s):  
Svetlin G. Georgiev
Keyword(s):  
Integral Equations ◽  
Non Linear

scholarly journals Non-linear integral equations for Heun functions

1969 ◽  
Vol 16 (4) ◽  
pp. 281-289 ◽  
Author(s):  
B. D. Sleeman
Keyword(s):  
Integral Equations ◽  
Heun Equation ◽  
Mathieu Functions ◽  
Special Cases ◽  
Mathieu’S Equation ◽  
Heun Functions ◽  
Non Linear ◽  
Linear Integral ◽  
Image Position ◽  
Linear Integral Equations

Some years ago Lambe and Ward (1) and Erdélyi (2) obtained integral equations for Heun polynomials and Heun functions. The integral equations discussed by these authors were of the formFurther, as is well known, the Heun equation includes, among its special cases, Lamé's equation and Mathieu's equation and so (1.1) may be considered a generalisation of the integral equations satisfied by Lamé polynomials and Mathieu functions. However, integral equations of the type (1.1) are not the only ones satisfied by Lamé polynomials; Arscott (3) discussed a class of non- linear integral equations associated with these functions. This paper then is concerned with discussing the existence of non-linear integral equations satisfied by solutions of Heun's equation.

Volume integral equations in non-linear 3-D magnetostatics

1995 ◽  
Vol 38 (16) ◽  
pp. 2655-2675 ◽  
Author(s):  
Lauri Kettunen ◽  
Kimmo Forsman ◽  
David Levine ◽  
William Gropp
Keyword(s):  
Integral Equations ◽  
Volume Integral ◽  
Non Linear
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