[1] | N.I. Ionkin, Solution of a boundary-value problem in heat conduction with a non-classical boundary condition, Differential Equations 13 (1977) 204-211. |
|
[2] | M. A. Naimark, Linear Differential Operators (Nauka, Moscow, 1989) [in Russian]. |
|
[3] | P. Lang and J. Locker, .Spectral Theory of Two-Point Differential Operators Determined by-D2. II. Analysis of Cases, .J. Math. Anal. Appl. 146(1), 148-191 (1990). |
|
[4] | A. Yu. Mokin, .On a Family of Initial-Boundary-Value Problems for the Heat Equation, Differents. Uravneniya 45(1), 123-137 (2009). |
|
[5] | O. G. Sidorenko,.An Essentially Nonlocal Problem for a Mixed-Type Equations in a Semiband,.Izv. Vyssh. Uchebn. Zaved. Mat., No. 3, 60.64 (2007) [Russian Mathematics (Iz. VUZ) 51(3), 55-59 (2007)]. |
|
[6] | Yu.K.Sabitova,.Nonlocal Initial-Boundary-Value Problems for a Degenerate Hyperbolic Equation,. Izv. Vyssh. Uchebn. Zaved. Mat., No. 12, 49.58 (2009) [Russian Mathematics (Iz. VUZ) 53(12), 41-49 (2009)]. |
|
[7] | K. B. Sabitov and E. M. Sa.n,. The Inverse Problem for a Mixed-Type Parabolic-Hyperbolic Equation in a RectangularDomain,. Izv. Vyssh. Uchebn. Zaved. Mat., No. 4, 55-62 (2010) [Russian Mathematics (Iz. VUZ) 54(4), 48-54 (2010)]. |
|
[8] | A. Bouziani, On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification, Abdelfatah Bouziani Abstract and Applied Analysis Volume 2003 (2003), Issue 10, Pages 573-589. |
|
[9] | A. Bouziani, Mixed problem with integral conditions for a certain parabolic equation, J. of Appl. Math. and Stoch. Anal. 9 (1996), 323-330. |
|
[10] | A. Bouziani, On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces, Abdelfatah Bouziani International Journal of Mathematics and Mathematical Sciences Volume 30 (2002), Issue 7, Pages 435-447. |
|
[11] | A. Bouziani and N.E. Benouar, Problème mixte avec conditions intÈgrales pour une classe díÈquations paraboliques, Comptes Rendus de líAcadÈmie des Sciences, Paris t.321, SÈrie I, (1995), 1177-1182 |
|
[12] | J.R. Cannon, Y. Lin, and S. Wang, Determination of a control parameter in a parabolic partial differential equation, J. Austral. Math. Soc. Ser. B. 33 (1991), pp. 149-163. |
|
[13] | J.R. Cannon, Y. Lin, and S. Wang, Determination of source parameter in a parabolic equations, Meccanica 27(2) (1992), pp. 85-94. |
|
[14] | A.G. Fatullayev, N. Gasilov, and I. Yusubov, Simultaneous determination of unknown coef.cients in a parabolic equation, Appl. Anal. 87(10-11) (2008), pp. 1167-1177. |
|
[15] | M.I. Ivanchov, Inverse problems for the heat-conduction equation with nonlocal boundary condition, Ukrain. Math. J. 45(8) (1993), pp. 1186-1192. |
|
[16] | M.I. Ivanchov and N.V. Pabyrivska, Simultaneous determination of two coefficients of a parabolic equation in the case of nonlocal and integral conditions, Ukrain. Math. J. 53(5) (2001), pp. 674-684. |
|
[17] | W. Liao, M. Dehghan, and A. Mohebbi, Direct numerical method for an inverse problem of a parabolic partial differential equation, J. Comput. Appl. Math. 232 (2009), pp. 351-360. |
|