Differential Equations, Fractional calculus, The spectral Theory of Linear and Nonlinear Operators.
Main publications:
Surguladze T. A. Solving of first boundary problem on isotropic elastic solid in case of half-plane with regard for moment stresses. Proceedings of Conference Mathematicians of Georgia SSR High Shool. Batumi. 1981. December, 21-25 , (in Georgian).
Surguladze T. A. The behavior, for large time values, of solutions of Cauchy problem for an one-dimensional hyperbolic equation with periodic coefficients. Manuscript in VINITI Akad. Nauk SSSR, Issue 7885-B86, Moscow, 1986, 43 p. (in Russian).
Surguladze T. A. The behavior, for large time values, of solutions of an one-dimensional hyperbolic equation with periodic coefficients. Uspekhi Matematicheskikh Nauk, v. 42, no. 4, 1987, 170–171 (in Russian).
Surguladze T. A. The behavior, for large time values, of solutions of an one-dimensional hyperbolic equation with periodic coefficients (in Russian) Dokl. Akad. Nauk SSSR 301 (1988), no. 2, 283–287; translation in Soviet Math. Dokl. 38 (1989), no. 1, 79–83.
Surguladze T. A. (with D. Kadzhaya, G. Tetvadze, etc.) Summaries of Lectures on High Mathematics. Part 2. (Functions of Several Variables, Inderfinite and Definite
Integrals, ODE, Series). Kutaissi, 1988, 215 p. (in Georgian).
Surguladze T. A. (with D. Kadzhaya, G. Tetvadze, etc.) Summaries of Lectures on High Mathematics. Part 3. (Fourier Series, Multiple, Curvilinear, Surface Integrals, Equations of Mathematical Physics, Field Theory) Kutaissi, 1988, 108 p. (in Georgian).
Surguladze T. A. Asymptotics of solutions of mixed problem for an one-dimensional hyperbolic equation with periodic coefficients. Proceedings of Congress on Mathematicians of Georgia. Tbilisi, 1997, September, 24-27 (in Georgian).
Surguladze T. A. (with T. A. Fomina) On Asymptotic behavior of solutions of hyperbolic equation with with periodic coefficients. Proceedings of Donetsk Colloquium on Probability and Statistics dedicated to the Eightieth Anniversary of I. I. Gikhman, Donetsk, 1998, May, 24-27 (in Russian).
Surguladze T. A. On some applications of fractional calculus in viscoelasticity. Manuscript in VINITI Akad. Nauk SSSR, Issue 1827-B99, Moscow, 1999, 26 p. (in Russian).
Surguladze T. A. On one application of fractional calculus to the theory of viscoelasticity. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 2000, no. 5, 62–66 (in Russian).
Surguladze T. A. On one using fractional Green's function. Izv. Ross. Akad. Nauk., Mekh. Tverdogo Tela. Moscow, № 1, 2001, 53–60 (in Russian).
Surguladze T. A. On one application of fractional calculus to viscoelastic waves in all axis. Elastisity and Nonelastisity, Proceedings of International Conference dedicated to the Ninetieth Anniversary of A. A. Ilyushin Moscow, 2001, January, 22-23, pp. 403–406 (in Russian).
Surguladze T. A. Constitutive relations for a model of viscoelasticity. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 2001, № 4, 40–43 (in Russian).
Surguladze T. A. On some applications of fractional calculus in viscoelasticity. Advances of Science and Technics. Ser. Modern mathematics and Its Applications. 2001, v. 83, 59 p. (in Russian).
