ON STABILITY OF THE THIRD ORDER PARTIAL DELAY
DIFFERENTIAL EQUATION WITH NONLOCAL
BOUNDARY CONDITIONS
Allaberen Ashyralyev1,2,3, Suleiman Ibrahim4, Evren Hincal4 1 Bahcesehir University, Department of Mathematics
34353, Istanbul, TURKEY 2Peoples' Friendship University of Russia
(RUDN University) Miklukho-Maklaya str.
Moscow - 117198, RUSSIAN Federation 3Institute of Mathematics and Mathematical Modeling
Almaty - 050010, KAZAKHSTAN 4 Near East University, Department of Mathematics
Nicosia, TRNC, Mersin 10, TURKEY
In the present paper, the stability of the initial value problem for the third order partial delay differential equation with nonlocal boundary condition is studied. The first of accuracy absolute stable difference scheme for solution of this problem is presented. Stability estimates for solution of this difference scheme are proved. Numerical results are provided.
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