BOUNDARY PROBLEMS AND DEVELOPMENTS. 



1 25 



J*-= Y( 



x) A- 1 J W 



b Y(b)(8*j)Z(t)R(t)F(t)-dt, 



S m (, 





d\. 



Further 



fw b Y 



(b)(8*j)Z(t)R(t)F(t)-dt 



+ 



6 



LioWfik r e M^W-r A (0} + B A (6)- 5ft(t ) yh{t)m df 



A-l U 



o 



h,k,p=l 



+ &kp <Phk(b)] dt 



1 



X 



I «$ «;* j - Mb - 0) + ^< 6 > + W/ A (a + 0) + 



J e HT h W-T hW} i {c B h ( b )-B h (0 m j J 



+ 



W 



and multiplying this matrix by the matrix Y(x) A -1 , as given by 

 formula (115) it follows that 



Jv 



1 



£ g x| r l (x)-r l .(6) 5ii ^B^-B^su T . k (X) w (« 5 

 fc.a-i 



hh 



•^ dt 



-Mb-o) + 



