In the paper we study questions about solvability of some boundary value problems with periodic conditions for an inhomogeneous biharmonic equation. The exact conditions for solvability of the problems are found.
REFERENCES
1.
T. Sh.
Kal’menov
, B. D.
Koshanov
, and M. Yu.
Nemchenko
, Complex Variables and Elliptic Equations
53
, 177
–183
(2008
).2.
V. V.
Karachik
, and N. A.
Antropova
, Differential Equations
49
, 251
–256
(2013
).3.
4.
O. A.
Matevossian
, Math. Notes
98
, 944
–947
(2015
).5.
V. V.
Karachik
, Siberian Mathematical Journal
32
, 767
–774
(1991
).6.
B. Kh.
Turmetov
, and R. R.
Ashurov
, British Journal of Mathematics & Computer Science
4
, 557
–571
(2014
).7.
B. Kh.
Turmetov
, and R. R.
Ashurov
, Boundary Value Problems
2013
, 162
(2013
), (DOI
: ).8.
A.
Gomez-Polanco
, J. M.
Guevara-Jordan
, and B.
Molina
Mathematical and Computer Modelling
57
, 2132
–2139
(2013
).9.
F.
Gazzola
, and G.
Sweers
, Arch. Rat. Mech. Anal.
188
, 399
–427
(2008
).10.
A. S.
Berdyshev
, A.
Cabada
, and B. Kh.
Turmetov
, Acta Mathematica Scientia
34
, 1695
–1706
(2014
).11.
A.
Bekaeva
, V. V.
Karachik
, and B. Kh.
Turmetov
, Russian Mathematics
58
, 11
–24
(2014
).12.
M. A.
Sadybekov
, B. Kh.
Turmetov
, and M. A.
Muratbekova
, AIP Conference Proceedings
1611
, 266
(2014
), (DOI
: ).
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