Theory of differential equations in respect of the functional area is based on the basic concepts on generalized functions and splines. There are some basic concepts related to the theory of generalized functions and their properties are considered in relation to the rod systems and lamellar structures. The application of generalized functions gives the possibility to effectively calculate step-variable stiffness lamellar structures. There are also widely applied structures, in that several in which a number of parallel load bearing layers are interconnected by discrete-elastic links. For analysis of system under study, such as design diagrams, there are applied discrete and discrete-continual models.
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 SOBOLEV S.L. Some applications of functional analysis in mathematical physic. Leningrad: Publishing of Leningrad State University 1950. 385 p. (In Russian)..
 MIKHAILOV B.K. KIPIANI G.O. Deformability and stability of spatial lamellar systems with discontinuous parameters. Saint Petersburg: Stroyzdat SPB 1996. 442 p. (In Russian).
 KIPIANI G. Definition of critical loading on three-layered plate with cuts by transition from static problem to stability problem. Contemporary Problems in Architecture and Construction. Selected peer reviewed papers the 6th International Conference on Contemporary Problems of Architecture and Construction June 24-27 2014 Ostrava Czech Republic. Edited by Darja Kubeckova. Trans Tech. publications LTD Switzerland 2014 pp. 143-150.
 KIPIANI G.O. Application of generalized functions for analysis of plates with ribs cuts. XI Conference of Mathematical HEI of GSSR. Theses of reports - Kutaisi 1986. Tbilisi Tbilisi State University 1986. p. 201. (In Russian).
 KIPIANI G RAJCZYK M LAUSOVA L. Non-linear boundary value problem modeling elastic equilibrium of shells. 4th International Scientific and Technical Conference “Modern Problems of water management” Environmental Protection Architect and Construction” September 27-30 2014. Dedicated to the 85 anniversary of the Water Management Institute Tbilisi 2014. pp. 150-152.
 ELISHAKOV I. Resolution of the twentieth century conundrum in elastic stability. Florida Atlantic University USA 2014. by World Scientific Publishing Co. Pte Ltd. -333 p.
 ELISHAKOV I. PENTARAS D. EGTNTILINI C. Mechanics of functionally graded material structures. 2016. by World Scientific Publishing Co. Pte Ltd. -333 p.
 KIPIANI G. Deformability and stability of rectangular sandwich panels with cuts under in-plane loading. Architect and Engineering. Vol. 1. Issue 1 March Saint Petersburg 2016. SPSUACE pp. 26-30. (aej.spbgasu.ru/index.php/AE/issue/view/3).
 NOVITSKI V.V. Delta-function and its application in structural mechanics. Analysis of building structures. 1962 is. 8 pp. 207-245. (In Russian).
 ZAVIALOV YU.S. KVASOV B.I. and Miroshnichenko V.L. Methods of spline-functions.Moscow: Nauka1980. 352 p. (In Russian).
 KECH V. and TEODORESKU P. Introduction in theory of generalized functions with application in engineering. Moscow: Mir 1978. 518 p. (In Russian). Mikhailov B.K. Plates and shells with discontinuous parameters. Leningrad: Publishing of Leningrad State University 1980. -196 p. (In Russian).
 KIPIANI G. Design procedure on stability of three-layered plate with cuts and holes. Georgian International Journal of Science and Technology - Vol. 1 № 4.New Yourk. Nova Publishers. 2008. pp. 327-342.