In this paper we study the method of constructing the Green’s function of the Neumann and Robin problems analogues for biharmonic equation in the unit ball. Integral representations of the Green’s function of these problems are obtained.

1.
V. V.
Karachik
,
B. Kh.
Turmetov
, and
A. E.
Bekaeva
,
IJPAM
81
(
3
),
487
495
(
2012
).
2.
H.
Begehr
and
T.
Vaitekhovich
,
Complex Var. Elliptic Equ.
58
(
4
),
483
496
(
2013
).
3.
V. V.
Karachik
and
B. Kh.
Turmetov
,
Adv. Pure Appl. Math.
81
(
3
),
487
495
(
2018
).
4.
M. A.
Sadybekov
,
B. T.
Torebek
, and
B. Kh.
Turmetov
,
AIP Conference Proceedings
1611
,
255
260
, (
2014
).
5.
M. A.
Sadybekov
,
B. Kh.
Turmetov
, and
B. T.
Torebek
,
Complex Var. Elliptic Equ.
61
,
104
123
, (
2016
).
6.
M. A.
Sadybekov
,
B. Kh.
Turmetov
, and
B. T.
Torebek
,
Adv. Pure Appl. Math.
6
,
102
107
, (
2015
).
7.
Y.
Wang
, and
L.
Ye
,
Complex Var. Elliptic Equ.
58
(
1
),
7
22
(
2013
).
8.
T.
Boggio
,
Rend. Circ. Mat. Palermo.
20
97
135
, (
1905
).
9.
B. Kh.
Turmetov
,
Diff. Equations
53
(
3
),
333
344
(
2017
).
10.
V. V.
Karachik
,
Computational Mathematics and Mathematical Physics
54
(
7
),
1122
1143
(
2014
).
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