Inverse Problem for an Ultraparabolic Equation

[1] BEILINA, N.V.: An Inverse Problem with an Integral Overdetermination Condition forWave Equation, Vestnik SamGU 65 (2008), No. 6, 28-39.Search in Google Scholar

[2] CODDINGTON, E. A.- LEVINSON, N.: Theory of Ordinary Differential Equations. Izd. Inostr. Lit., Moskva, 1958. [Russian translation]Search in Google Scholar

[3] IVANCHOV, M. I.: Inverse problem for semilinear parabolic equation, Mat. Stud., 29 (2008) 181-191.Search in Google Scholar

[4] JONES, B.: Determination of a coefficient in a parabolic differential equation. Part I:Existence and uniqueness, J. Mathem. Mech. 11 (1962), No. 6, 907-918.Search in Google Scholar

[5] KOZHANOV, A.I.: An inverse problem with an unknowm coefficient and right-hand sidefor a parabolic equation, J. Inverse Ill-Posed Probl. 10 (2002), No. 6, 611-627.Search in Google Scholar

[6] LAVRENYUK, S.-PROTSAKH, N.: Boundary value problem for nonlinear ultraparabolicequation in unbounded with respect to time variable domain, Tatra Mt. Math. Publ. 38 (2007), 131-146.Search in Google Scholar

[7] LAVRENYUK, S. P.-PROTSAKH, N. P.: Mixed problem for an ultraparabolic equationin an unbounded domain, Ukr. Math. J. 54 (2002), 1053-1066.Search in Google Scholar

[8] LADYZHENSKAYA,O. A. : Boundary Value Problems of Mathematical Physics. Moskva, Nauka, 1973. (In Russian)Search in Google Scholar

[9] LORENZI, A.: Identification problems in Banach spaces for linear first-order partial differentialequations in one space dimension and applications, J. Inverse Ill-Posed Probl. 20 (2012), 65-102.Search in Google Scholar

[10] LORENZI, L.: An identification problem for an ultraparabolic integrodifferential equation, J. Math. Anal. Appl. 234 (1999), 417-456.10.1006/jmaa.1999.6322Search in Google Scholar

[11] PRILEPKO, A. I.- KOSTIN, A. B.: On inverse problems of determining a coefficientin a parabolic equation. II, Sibirsk. Mat. Zh. 34 (1993), No. 5, 147-162.Search in Google Scholar

[12] PROTSAKH, N.: Mixed problem for degenerate nonlinear ultraparabolic equation, Tatra Mt. Math. Publ. 43 (2009), 203-214.Search in Google Scholar

[13] PROTSAKH, N. P.: Properties of a solution of the mixed problem for an ultraparabolicequation with memory term, J. Math. Sci., 183 (2012), 823-834.10.1007/s10958-012-0843-ySearch in Google Scholar

[14] TIKHONOV, A. : A uniqueness theorem for the heat equation, Mat. Sb. 42 (1935), No. 2, 199-216. (In Russian)Search in Google Scholar