In the present paper, we study the nonlocal boundary value problem for third order partial differential equations in a Hilbert space with a self-adjoint positive definite operator. The main theorem on stability of this problem is established. In Applications, stability estimates for the solution of two problems for third order partial differential equations are obtained.
REFERENCES
1.
S.
Amirov
, A.I.
Kozhanov
, Doklady Mathematics
88
, 446
–448
(2013
).2.
Y.
Apakov
, B.
Irgashev
, Ukrainian Mathematical Journal
66
(10
), 1475
–1490
(2015
).3.
C.
Latrous
, A.
Memou
, Abstract and Applied Analysis
2005
(1
), 33
–43
(2005
).4.
Y.
Apakov
, S.
Rutkauskas
, Nonlinear Analysis-Modelling and Control
16
(3
), 255
–269
(2011
).5.
M.
Kudu
, I.
Amirali
, Journal of Applied Mathematics and Physics
2
(2
), 33
–36
(2014
).6.
A.
Ashyralyev
, D.
Arjmand
, M.
Koksal
, Applied Mathematics and Computation
188
(2
), 1483
–1490
(2007
).7.
A.
Ashyralyev
, D.
Arjmand
, Journal of the Franklin Institute-Engineering and Applied Mathematics
346
(7
), 651
–662
(2009
).8.
K.
Belakroum
, A.
Ashyralyev
, A.
Guezane-Lakoud
, AIP Conference Proceedings
1759
, Article Number: 020021, doi: (2016
).9.
J.
Niu
, P.
Li
, Abstract and Applied Analysis
2014
, Article Number:630671, doi: (2014
).10.
A.
Ashyralyev
, K.
Belakroum
, A.
Guezane-Lakoud
, Electronic Journal of Differential Equations
2017
(53
), 1
–11
(2017
).11.
Kh.
Belakroum
, A.
Ashyralyev
, A.
Guezane-Lakoud
, Filomat
32
(3
), 801
–808
(2018
).12.
13.
A.
Ashyralyev
, P.E.
Sobolevskii
, New Difference Schemes for Partial Differential Equations
(Birkhäuser Verlag
, Basel, Boston, Berlin
, 2004
).14.
H. O.
Fattorini
, Second Order Linear Differential Equations in Banach Spaces
(Elsevier Science Publishers B. V.
, Amsterdam
, 1985
).
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