[1] Ashyralyev, A., Gercek, O.: Nonlocal boundary value problem for elliptic-parabolic differential and difference equations. Discrete Dyn. Nat. Soc., 2008, 16p, MR 2457148

[2] Beals, R.: Nonlocal Elliptic Boundary Value Problems. Bull. Amer. Math. Soc., 70, 5, 1964, 693-696, DOI 10.1090/S0002-9904-1964-11166-6 | MR 0167700 | Zbl 0125.33301

[3] Beridze, V., Devadze, D., Meladze, H.: On one nonlocal boundary value problem for quasilinear differential equations. Proceedings of A. Razmadze Mathematical Institute, 165, 2014, 31-39, MR 3300597 | Zbl 1315.35101

[4] Berikelashvili, G.: Construction and analysisi of difference schemes of the rate convergence. Memoirs of Diff. Euqat. and Math. Physics, 38, 2006, 1-36, MR 2258555

[5] Berikelashvili, G.: On the solvability of a nonlocal boundary value problem in the weighted Sobolev spaces. Proc. A. Razmadze Math. Inst., 119, 1999, 3-11, MR 1710953 | Zbl 0963.35045

[6] Berikelashvili, G.: To a nonlocal generalization of the Dirichlet problem. Journal of Inequalities and Applications, 2006, 1, 2006, 6p, Art.ID 93858. MR 2215469 | Zbl 1108.35040

[7] Bitsadze, A.V., Samarskií, A.A.: On some simple generalizations of linear elliptic boundary problems. Dokl. Akad. Nauk SSSR, 185, 1969, 739-740, Translation in Sov. Math. Dokl., 10 (1969), 398--400. MR 0247271 | Zbl 0187.35501

[8] Browder, F.E.: Non-local elliptic boundary value problems. Amer. J. Math, 86, 1964, 735-750, DOI 10.2307/2373156 | MR 0171989 | Zbl 0131.09702

[9] Canon, J.R.: The solution of heat equation subject to the specification of energy. Quart. Appl. Math., 21, 2, 1963, 155-160, DOI 10.1090/qam/160437 | MR 0160437

[10] Carleman, T.: Sur la théorie des équations intégrales et ses applications. 1932, F{ü}ssli, Zurich, Zbl 0006.40001

[11] Courant, R., Hilbert, D.: Methods of mathematical physics. 1953, Interscience Publishers, New York, MR 0065391 | Zbl 0053.02805

[12] Devadze, D., Beridze, V.: Optimality Conditions and Solution Algorithms of Optimal Control Problems for Nonlocal Boundary-Value Problems. Journal of Mathematical Sciences, 218, 6, 2016, 731-736, DOI 10.1007/s10958-016-3057-x | MR 3563651 | Zbl 1354.49051

[13] Beridze, D. Sh. Devadze and V. Sh.: Optimality conditions for quasi-linear differential equations with nonlocal boundary conditions. Uspekhi Mat. Nauk, 68, 4, 2013, 179-180, Translation in Russian Math. Surveys, 68 (2013), 773--775. MR 3154819

[14] Devadze, D., Dumbadze, M.: An Optimal Control Problem for a Nonlocal Boundary Value Problem. Bulletin of The Georgian National Academy Of Sciences, 7, 2, 2013, 71-74, MR 3136884 | Zbl 1311.49054

[15] Diaz, J.I., Rakotoson, J-M.: On a non-local stationary free-boundary problem arising in the confinement of a plasma in a stellarator geometry. Arch.Rational. Mech. Anal., 134, 1, 1996, 53-95, DOI 10.1007/BF00376255 | MR 1392309

[16] Gordeziani, D.G.: On methods for solving a class of non-local boundary-value problems. Ed. TSU, Tbilisi, 1981, 32p, MR 0626523

[17] Gordeziani, D.G., Avalishvili, G.A.: On the constructing of solutions of the nonlocal initial boundary value problems for one dimensional medium oscillation equations. Mathem. Mod., 12, 1, 2000, 93-103, MR 1773208

[18] Gordeziani, D.G., Djioev, T.Z.: On solvability of one boundary value problem for a nonlinear elliptic equations. Bull. Georgian Acad. Sci, 68, 2, 1972, 189-292, MR 0372414

[19] Gordeziani, G., Gordeziani, N., Avalishvili, G.: Non-local boundary value problem for some partial differential equations. Bulletin of the Georgian Academy of Sciences, 157, 1, 1998, 365-369, MR 1652066

[20] Gordezian, D., Gordeziani, E., Davitashvili, T., Meladze, G.: On the solution of some non-local boundary and initial-boundary value problems. GESJ: Computer Science and Telecommunications, 2010, 3, 161-169,

[21] Gulin, A.V., Marozova, V.A.: A family of selfjoint difference schemes. Diff. Urav., 44, 9, 2008, 1249-1254, MR 2484534

[22] Gurevich, P.L.: Asymptotics of Solution for nonlocal elliptic problems in plane bounded domains. Functional Differential Equations, 10, 1-2, 2003, 175-214, MR 2017408

[23] Gushchin, A.K., Mikhailov, V.P.: On the stability of nonlocal problems for a second order elliptic equation. Math. Sb., 185, 1, 1994, 121-160, MR 1264079

[24] Il'in, V.A., Moiseev, E.I.: A two-dimensional nonlocal boundary value problem for the Poisson operator in the differential and the difference interpretation. Mat. Model., 2, 8, 1990, 139-156, (Russian). MR 1086120

[25] Ionkin, N.I.: Solution of boundary-value problem in heat-conduction theory with non-classical boundary conditions. Diff, Urav., 13, 1977, 1177-1182, MR 0603292

[26] Kapanadze, D.V.: On a nonlocal Bitsadze-Samarskiĭ boundary value problem. Differentsial'nye Uravneniya, 23, 3, 1987, 543-545, (Russian). MR 0886591

[27] Mandzhavidze, G.F., Tuchke, V.: Some boundary value problems for first-order nonlinear differential systems on the plane. Boundary value problems of the theory of generalized analytic functions and their applications Tbilis. Gos. Univ., Tbilisi, 1983, 79-124, (Russian). MR 0745292

[28] Paneyakh, B.P: Some nonlocal boundary value problems for linear differential operators. Mat. Zametki, 35, 3, 1984, 425-434, (Russian). MR 0741809

[29] Pao, C.V.: Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions. J. Math. Anal. Appl., 195, 3, 1995, 702-718, DOI 10.1006/jmaa.1995.1384 | MR 1356638 | Zbl 0851.35063

[30] Sapagovas, M.P.: A difference method of increased order of accuracy for the Poisson equation with nonlocal conditions. Differential Equations, 44, 7, 2008, 1018-1028, DOI 10.1134/S0012266108070148 | MR 2479950

[31] Sapagovas, M.P., Chegis, R.Yu.: On some Boundary value problems with a non-local condition. Differentsial'nye Uravneniya, 23, 7, 1987, 1268-1274, (Russian). MR 0903982

[32] Shakeris, F., Dehghan, M.: The method of lines for solution of the one-dimensional wave equation subject to an integral consideration. Computers & Mathematics with Applications, 56, 9, 2008, 2175-2188, DOI 10.1016/j.camwa.2008.03.055 | MR 2466739

[33] Shelukin, V.V.: A non-local in time model for radionuclide propagation in Stokes fluid. Dinamika Splosh. Sredy, 107, 1993, 180-193, MR 1305005

[34] Skubachevskin, A.L.: On a spectrum of some nonlocal boundary value problems. Mat. Sb., 117, 7, 1982, 548-562, (Russian). MR 0651145

[35] Vekua, I.N.: Generalized analytic functions. Second edition. 1988, Nauka, Moscow, (Russian). MR 0977975

[36] Vasylyk, V.B.: Exponentially convergent method for the $m$-point nonlocal problem for an elliptic differential equation in banach space. J. Numer. Appl. Math., 105, 2, 2011, 124-135,