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 .