We study a nonlocal problem for third order partial differential and difference equations with involution. The stability of these problems is established. Numerical results are presented.

1.
M.
Ashyraliyev
,
M. A.
Ashyralyyeva
,
A.
Ashyralyev
,
Bulletin of the Karaganda University-Mathematics
,
99
,
120
129
(
2020
).
2.
Yu.P.
Apakov
and
S.
Rutkauskas
,
Nonlinear Anal.: Modelling Control
16
,
255
269
(
2011
).
3.
A.
Ashyralyev
and
N.
Aggez
,
Numerical Functional Analysis and Optimization
25
,
439
462
(
2004
).
4.
A.
Ashyralyev
and
N.
Aggez
, and
F.
Hezenci
,
AIP Conference Proceedings
1470
,
130
132
(
2012
).
5.
A.
Ashyralyev
and
D.
Arjmand
,
Applied mathematics and computation
188
1483
190
(
2007
).
6.
A.
Ashyralyev
and
D.
Arjmand
and
M.
Koksal
,
Journal of the Franklin Institute
346
(
7
),
651
662
(
2009
).
7.
A.
Ashyralyev
and
K.
Belakroum
,
AIP Conference Proceedings
2183
(
1
), (
2019
).
8.
A.
Ashyralyev
and
Kh.
Belakroum
and
A.
Guezane-Lakoud
,
Electronic Journal of Differential Equations
,
2017
(
53
),
1
11
(
2017
).
9.
A.
Ashyralyev
and
P. E.
Sobolevskii
,
New Difference Schemes for Partial Differential Equations
(
Birkhà ¤user Verlag
,
Basel, Boston, Berlin
,
2004
).
10.
Z.
Direk
and
M.
Ashyraliyev
,
Advances in Difference Equations
,
2014
(
1
),
1
8
(
2014
).
11.
H.O.
Fattorini
,
Second Order Linear Differential Equations in Banach Spaces
(
Elsevier Science Publishers B.V
.,
Amsterdam
,
1985
).
12.
L. J.
Guo
and
J. P.
Sun
and
Y. H.
Zhao
,
Electronic Journal of Differential Equations
,
2007
, (
2007
).
13.
P. K.
Palamides
and
A. P.
Palamides
,
Electronic Journal of Qualitative Theory of Differential Equations
2008
(
14
),
1
15
(
2008
).
14.
A.A.
Samarskii
,
E.S.
Nikolaev
,
Numerical Methods for Grid Equations: Iterative Methods
(
Birkhauser Verlag
,
Basel
,
1989
).
15.
Wang and
Sh.
Zheng
,
Boundary Value Problems
,
2009
(
1
),
484879
(
2009
).
This content is only available via PDF.
You do not currently have access to this content.