ABSTRACT
Q ),
+ 5 2h ,
h = o 1 for
= 0, 2 for
≠ 0.
2 . A rectangle is considered. The following conditions are prescribed:
= [ 0( 4
, j ) at Q = 0 (initial condition), \ p
= [ 1( 4
, j ) at Q = 0 (initial condition),
= ] 1( j , Q ) at 4
= 0 (boundary condition), \ q
= ] 2( j , Q ) at 4
=
1 (boundary condition),
= ] 3( 4
, Q ) at j = 0 (boundary condition), \ r
(
, j , Q ) = \
0 [ 0( s , t ) u (
0 w 1( s , t ) u (
2( t , a ) u ( 4
0 y 4( s , a ) u (
1 2
) sin( 5 h j ) sin(3 g
v ),
= l
(2 k
+ 1) 2 { 1
(2 m
+ 1) 2 { 2
,
+ 5 2h .