Bkowne — On an Integral Equation -proposed b;/ Abel. 85 



The extension to the equations 



[" H{t)f{t + x)dt = h(x), 



| o | o Hit, r)/(t + x, t + y) * rfr = h(x, y) 



is obvious.* 



The equations 



ClT(x,t)f(t + x)dt = h(x), 

 R(x, y\ t,r) fit + x, T + y) dt dr = h {x, //), 



,o Jo 



etc., etc., 

 may evidently be solved by successive approximation as before. 



* Some equations of the type just considered have been treated by Runge, Mathemati&che 

 Annalen (1914). They occur in some modern physical problems. 



K.I.A. PROC, VOL. XXXII., SECT. A. [13] 



