excluding popular material
1915
On the equilibrium of elastic circular discs under the influence of stresses applied at points of their circumference and acting in their plane. Izv. Elektrotekhn. In-ta, Petrograd, 1915, 12, 39-55 (co-authored with G. V. Kolosov). [Ann. Inst. Electro Techn., Petrograd].
1916
On thermal stresses in the plane problem of the theory of elasticity. Izv. Electrotekhn. In-ta, Petrograd, 1916, 13, 23-37, [Ann. Inst. Electrotekhn., Petrograd].
1919
On the determination of a harmonic function from given values on a contour. Zh. Fiz.-mat. Ob-va pri Permsk. un-te, 1918, (1919), No. 1., 89-93. [J. Soc. Phys. et Mat. Univ. Perm].
Sur L'intégration de l'équation biharmonique. Izv. Rosslisk. AN, 1919, I36, No. 12-15, 663-686. [Bull. Russian Acad. Sci.]
1922
Lectures on analytic geometry, read at Tiflis Polytechnic Institute, Pt. 1., Tiflis, Tiflissk. Politekhn. In-t, 1922, 261 pp. (restricted).
Application des intégrales analogues à celles de Cauchy à quelques problèmes de la physique mathématique. Tiflis, Tiflissk. Un-t, 1922, 157 pp.
Sulla deformazione piana di un cilindro elastico isotropo. Atti Accad. Lincei, 1922, 315, No. 12, 548-551.
1923
Sur 1'équilibre des corps élastiques soumis à 1'action de la chaleur. Bull. Univ. Tiflis, 1923, No. 3, 17 - 26.
1924
Solution of an integral equation encountered in the theory of black radiation. Zh. Russk. fiz. khim. ob-va fiz., 1924, 56, No. 1., 30-39. [J. Russian Soc. Phys. Chem., Phys. Part].
1925
Russian-Georgian and Georgian-Russian Dictionary of Mathematical terms, Pure and applied mathematics with theoretical mechanics. Tiflis, Gos. izd. 1925, 249 pp, (co-authored with G Nikoladze and A.Kh. Kharadze,).
1926
Course of theoretical mechanics, Part I: Statics. Tiflis, Tiflissk. un-t, 1926, 292 pp, (in Georgian).
Lectures on analyticgeometry, Part I, 2-nd revised edition, Tiflis, 1926, 208 pp.
1927
Sur la solution du problème biharmonique pour 1'aire extérieur ‡ une ellipse. Math. 1927; 26, No. 5, pp. 700-705.
Sur 1'intégration approchée de 1'équation biharmonique. C. R. Acad. Sci., 1927, 185, No. 22, 1184-1186.
Sur les orbites périodiques et les lignes géodésiques fermées. Atti Accad. I.incei, 1927, 56, No. 10, 769-773.
1928
Course of Theoretical Mechanics, Part II: Kinematics. Tiflis, Tiflissk. un-t., 1928, 253 pp. (in Gcorgian).
On periodic orbits and closed geodesic lines. (Abstract). Tr. Vcerossisl;. s"ezda matematikov. (Moscow, April 27 - May 4, 1927), Moscow-Leningrad, 1928, 189 [ Proc. All-Russian Math. Congr.]
On certain boundary value problems of plane hydrodynamics. Ibid., 262.
Sur le problème fondammental d'hydrodynamique à deux dimensions. Atti Acca.d. I.incei, 1928, 76, No. 12, 995-1002.
1929
Zum Problem der Torsion der homogenen isotropen Prismen. Izv. Politekhn. in-ta Gruzii, 1929, I, No. 1, 1-20. [Bull. Inst. polytechn. Tiflis].
Sur le problème de torsion des cylindres élastiques isotropes. Atti Accad. I.inGei, 1929, 96, No. 4, 295-300.
1930
Course of theoretical mechanics. Part I: Statics. Tiflis, Gos. izd., 1930, 216 pp. (in Georgian).
1931
Nouvelle méthode de réduction du problème biharmonique fondamental à une équation de Fredholm. C. R. Acad. Sci., 1931, 192, No. 2, 77-79
Théorêmes d'existence relatifs au problème biharmonique et aux problèmes d'élasticité à deux dimensions. Ibid., No. 4, 221-223.
1932
Course of theoretical mechanics, Part 2: Kinematics. 2-nd ed. Tbilisi, Gos. Izd., (Gruzii, 1932, 208 pp. (in Georgian).
On the problem of torsion and bending of elastic beams consisting of different materials. Izv. AN SSSR Otd. Matem. i estestv. nauk, 1932, No. 7, 907 - 945. [Bull. Acad. Sci. URSS, Cl. sci. math. et natur.).
On the problem of torsion and bending of composite elastic beams. [Sur le problême de torsion et de flexion des poutres élastiques composées). Izv. Inzh. str. in-ta Gruzii 1932, No. 1, 123 - 127. [Ber. Bau-Inst. SSR Georgien, Tiflis]. Published in French as: Sur le problême de torsion des poutres élastiques composées. C. R.Acad. Sci., 1932, 194, No. 17, 1435-1437].
Recherches sur les problêmes aux limites relatifs à 1'équation biharmonique et aux équation de l'élasticité à deux dimensions. Math. Ann., 1932, 107, No. 2, 282 - 312.
1933
Courrse of analytic geometry, Part I. Course of analytic geometry using vectors. Moscow-I.eningrad, 1933, 220 pp.
Course of theoretical mechanics. Part I: Statics. 2-nd ed., Tbilisi, Gos. izd. Gruzii, 1933, 190 pp. (in Georgian).
Some Basic problems of the mathematical theory of elasticity. The Basic Equations, the Plane Problem, Torsion and Bending. (Forword by A. N. Krylov), I.eningrad, Izd-vo AN SSSR, 1933, 397 pp.
Solution of the plane problem of the theory of Elasticity for the solid ellipse. (Lösung des ebenen Problems der Elastizitätstheorie für dic elliptische Scheibe. PMM (O1d ser.), 1933, I, No. 1, 5-12.
Praktische Lösung der fundamentalen Randwertaufgaben der Elastizitätstheorie in der Ebene für einige Berandungsformen. Z. angew. Math. und Mech., 1933, I3, No. 4, 264 -282.
Sur 1'Èquivalence de deux mÈthodes de rÈduction du problËmes plan biharmonique ‡ une Èquation intÈgrale. C. R. Acad. Sci., 1933, I96, No. 26, 1947-1948 (coauthored with V. A. Fok).
A. G. Webster. Tlte Dynamics of Particles and of Rigid, Elastic and Fluid Bodies. Lectures on mathematical physics. (Translation of 3rd Englich edition under the redaction of K.V. Melikov). I.eningrad-Moscow, Gostekhizdat, 1933, 644 pp. (in cooperation with M. B. Savost'ianova and K.V.Melikov).
1934
Course of Analytic Geometry, Part 2. Leningrad-Moscow, Gostekhizdat, 1934, 276 pp.
A new general method of solution of the basic boundary problems of thc plane theory of elasticity. (Nouvelle mÈthode gÈnÈrale pour rÈsoudre les problËmes fondamentaux de la thÈorie de 1'ÈlasticitÈ a deux dimensions). Dokl. AN SSSR, 1934, 3, No. 1, 7-11 (C. R. Acad. Sci. URSS).
A study of the new integral equations of the plane theory of Èlasticity. (I)iscussion des nouvelles Èqnations intÈgrales de la thÈorie de I'ÈlasticitÈ a deux dimensions). Dokl. AN SSSR, 1934, 3, No. 2, 73-77. (C. R. Akad. Sci. URSS).
On a new boundary problem of the theory of elasticity. (Sur un nouveau problËme aux limites de la thÈorie de 1'ÈlasticitÈ). Dokl. AN SSSR,1934, 3, No. 3, 141 - 144 (C. R. Acad. Sci. URSS).
A new method of solution of the plane problems of the theory of elasticity. (Abstract). Biull. II. Vsesoiuzn. s"ezda matematikov (Leningrad, June 24-30, 1934), Leningrad 1934, 68. [2nd All-Union Math. Congr.]
1935
Some basic problems of the mathematical theory of elasticity. The basic equations, the plane problem, torsion and bending. 2-nd revised and enlarged edition, Moscow-I.eningrad, Izd-vo AN SSSR, 1935, 453pp.
Solution of fhe basic mixed problem of the theory of elasticity for the half-plane. (Solution du problËme mixte fondamental de 1'ÈlasticitÈ pour un demiplan). Dokl. AN SSSR, 1935, 3, No. 2, 51-54. (C. R. (Doklady) Acad. Sci. URSS).
1936
The theory of elasticity. Great Soviet Encycl., 56, 1936, 147-158.
A new method of solution of thc plane problems of the theory of elasticity. (Abstract). Tr. II. Vcecoiuzn. matem. s"ezda (Leningrad, June 24-30, 1934), 2 , Leningrad-Moscow, Izd-vo, AN SSSR, 1936, 345 - 346. Proc. 2nd All-Union Math. Congr.
On certain edge problems of the theory of elasticity.(Abstract), Ibid.358.
1937
On the numerical solution of the plane problem of the theory of elasticity. Tr. Tbilissk. matem. in-ta, 1937, I, 83-87 (in Georgian with Russian summary). [Trav. Inst. math. Tbilisi].
Frank and R. V. Mises. Die Differential und Integralgleichungen der Mechanik und Physik, Part 2, chaps.7-9. Translation under the general editorship of L. E. Gurevich, Leningrad-Moscow, Gostekhizdat, 1937, 224 - 346.
1938
Course of analytic geometry.2-nd revised edition, Moscow-Lenin rad GoStekhizdat,
1938, 576 pp.
1939
Course of analytic geometry. (Georgian translation of 2-nd Rnssian edition, 1938). Tbilisi, Tbilissk. un-t, 1939, 704 pp.
1940
On the solution of the basic boundary problems of the theory of the Newtonian potential. [Ue‹ber die Lˆsung der Fundamentalen Randwertaufgaben des Newtonischen Potentials] PMM, 1940, 4, No. 4, 3 - 26.
On the solution of the basic boundary problems of the theory of the logarithmic potential. (Ueber die fundamentalen Randwertaufgaben des logarithmischen Potentials). Tr. Tbilissk. matem. in-ta, 1939 (1940), 7, 1 - 24 (co-authored with D. Z. Avazashvili). [Trav. Inst. math. Tbilissi].
On the solution of the Dirichlet problem in the plane. Soobshch. Gruz. fil. AN SSSR, 1940, I, No. 2, 99-106. [Mitt. Georg. Abt. Akad. Wiss. USSR].
Remarks concerning the basic boundary problems of potential theory. Soobshch. Gruz. fil. AN SSSR, 1940, I, No. 3, 169 - 170. [Mitt. Georg. Abt. Akad. Wiss. USSR). Corrections to this paper: Ibid. No. 7, 567.
1941
Application of Cauchy type integrals to a class of singular integral equations. Tr. Tbilissk. matem. in-ta, 1941,XO, 1-43, 161 - 162, [Trav. Inst. math. Tbilissi].
On a basic mixed boundary problem of the theory of the logarithmic potential for multiply connected regions. Soobshch. AN Gruz. SSR, 1941, 2, No. 4, 309 - 313 [Mitt. Akad. Wiss., Georg. SSR).
Basic boundary value problems of the theory of elasticity for the half-plane. Soobshch. AN Gruz. SSR, 1941, 2, No.10, 873 - 880 [Mitt. Akad. Wiss. Georg. SSR.]
1942
Singular integral equations with Cauchy type kernels taken over open contours. Tr. Tbilissk. matem. in-ta AN Gruz. SSR, 1942, XX, 141 - 172 (co-authored with D. A. Kveselava). [Trav. Inst. math. Tbilissi].
The basic boundary problems of the theory of elasticity for the half-plane with straight cuts. Soobshch. AN Gruz. SSR, 1942, 3, No. 2, 103 - 110, [Bull. Acad. Sci. Georg. SSR].
On the problem of equilibrium of a rigid stamp on the boundary of an elastic half-plane in the presence of friction. Soobshch. AN Gruz. SSR, 1942, 3, No. 5, 413 - 418 (Bull. Acad. Sci. Georg. SSR].
Systems of singular integral equations with Cauchy type kernels. Soobshch. AN Gruz. SSR, 1942, 3, No. 10, 987 - 994 [Bull. Acad. Sci. Georg. SSR].
1943
The Riemann boundary value problem for several unknown functions and its applications to systems of singular integral equations. Tr. Tbilissk. matem. in-ta, 1943, I2, 1 - 46 (co-authored with N. P. Vekua). [Trav. Inst. math. Tbilissi].
1946
Singular integral equations, boundary problems of function theory and their application to mathematical physics. Moscow-Leningrad, Gostekhizdat, 1946, 448 pp.
1947
Course of analytic geometry. 3-rd revised and augmented edition, Moscow- Leningrad, Gostekhizdat, 1947, 644 pp.
1949
Some basic problems of the mathematical theory of elasticity. The basic equations, the plane theory of elasticity, torsion and bending. 3-rd revised and substantially enlarged edition, Moscow-Leningrad, Izd-vo AN SSSR, 1949, 635 pp.
1951
Course of analytic geometry. Tbilisi, Izd-vo "Tekhnika da Shroma", 1951, 671 pp. (in Georgian).
1953
Some basic problems of the mathematical theory of elasticity. Groningen, P. Noordhoff, 1953, XXXI + 704 pp. (English translation of 3-rd edition by J.R.M.Radok, 1949).
Singular Integral Equations. Groningen, P. Noordhoff, 1953, 447 pp. (English translation of 1946 edition by J.R.M.Radok).
1954
Some basic problems of the mathematical theory of elasticity. 4th revised and augmented edition, Moscow, Izd-vo AN SSSR, 1954, 647 pp.
1955
Course of analytic geometry. Peking 1955, 633 pp. (Chinese translation of 3rd edition, 1947).
1956
Some basic problems of the mathematical theory of elasticity. Vols. 1-3. Bucharest Inst. studii rom. sov, 1956, 892 pp. (Rumanian translation of 3rd edition).
1958
Some basic problems of the mathematical theory of elasticity. Peking, 1958, 526 pp. (Chinese translation of 4th edition, 1954).