Geodesic
A nonlocal boundary value problem for a third-order differential equation
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 1, pp. 22-30

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The nonlocal boundary value problem \begin{gather*} w_{xxt}+d(x,t)w_t+\eta(x,t)w_{xt}+a(x,t)w_x+b(x,t)w=f(x,t),\\ w(0,t)=\lambda w(l,t),\quad w_x(0,t)=g_0(t),\quad w(x,0)=\varphi(x),\\ 0,\quad 0\end{gather*} is studied. The authors present new conditions for solvability, construct a family of approximate solutions, and establish convergence rate of approximate solutions to an exact solution. 
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     author = {T. T. Karakeev and T. D. Omurov},
     title = {A nonlocal boundary value problem for a third-order differential equation},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2005_5_1_a2/}
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T. T. Karakeev; T. D. Omurov. A nonlocal boundary value problem for a third-order differential equation. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 1, pp. 22-30. http://geodesic.mathdoc.fr/item/VNGU_2005_5_1_a2/