Systems of Generalized Abel Integral Equations.

1977 ◽  
Author(s):  
M. Lowengrub ◽  
J. R. Walton
Keyword(s):  
Integral Equations ◽  
Abel Integral Equations

scholarly journals A family of methods for Abel integral equations of the second kind

1991 ◽  
Vol 34 (2) ◽  
pp. 211-219 ◽  
Author(s):  
H. Brunner ◽  
M.R. Crisci ◽  
E. Russo ◽  
A. Vecchio
Keyword(s):  
Integral Equations ◽  
Abel Integral Equations

scholarly journals A note on integral equations

1972 ◽  
Vol 13 (2) ◽  
pp. 119-121 ◽  
Author(s):  
W. E. Williams
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
General Class ◽  
Successive Solution ◽  
Dual Series Equations ◽  
Abel Integral Equations ◽  
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In a recent paper Cooke [1] obtained a solution of the integral equationby using the identityand the technique, first used by Copson, of interchanging the orders of integration and hence reducing the problem to that of the successive solution of two Abel integral equations. It is also shown in [1] that the above identity can also be used to solve the dual series equationsThe kernel in equation (1) is a particular member of a general class of kernels which the author [6] has shown to be such that the resulting integral equation is directly soluble by using Copson's technique. The particular example of equation (1) is given in [6] and the identity of equation (2) was used by the author [7] to obtain the solution of equation (3).

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