___

• [1] Babu²ka, I. and Li, L. Hierarchic modeling of plates, Comput. & Structures 40, 419-430, 1991.
• [2] Chinchaladze, N. Harmonic vibration of cusped plates in the N-th approximation of Vekua's hierarchical models, Archives of Mechanics 65 (5), 345-365, 2013.
• [3] Chinchaladze, N. On some analytic methods for calculating of cusped prismatic shells, PAMM: Proceedings in Applied Mathematics and Mechanis 14 (1), 185-186, 2014.
• [4] Chinchaladze, N., Jaiani, G., Gilbert, R., Kharibegashvili, R. and Natroshvili, D. Existence and uniqueness theorems for cusped prismatic shells in the N-th hierarchical model, Mathematical Methods in Applied Sciences 31 (11), 1345-1367, 2008.
• [5] Chinchaladze, N., Jaiani, G., Gilbert, R., Kharibegashvili, R. and Natroshvili, D. Initialboundary value problems for solid- fluid composite structures, Zeitschrift Für Angewandte Mathematik und Physik (ZAMP) 63 (4), 625-653, 2012.
• [6] Chinchaladze, N., Jaiani, G., Podio-Guidugli, P. and Maistrenko, B. Concentrated contact interactions in cuspidate prismatic shell-like bodies, Archive of Applied Mechanics 81 (10), 1487-1505, 2011.
• [7] Devdariani, G., Jaiani, G., Kharibegashvili, R. and Natroshvili, D. The first boundary value problem for the system of cusped prismatic shells in the first approximation, Appl. Math. Inform. 5 (2), 26-46, 2000.
• [8] Jaiani, G. Hierarchical models for prismatic shells with mixed conditions on face surfaces, Bulletin of TICMI 17 (2), 24-48, 2013.
• [9] Jaiani, G. Cusped shell-like structures, SpringerBriefs in Applied Science and Technology, Springer-Heidelberg-Dordrecht-London-New York, 2011.
• [10] Jaiani, G., Kharibegashvili, S., Natroshvili, D. and Wendland, W.L. Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary, J. Elasticity 77 (2), 95-122, 2004.
• [11] Jaiani, G., Kufner, A. Oscillation of cusped Euler-Bernoulli beams and Kirchho-Love plates, Hacettepe Journal of Mathematics and Statistics, 35 (1), 7-53, 2006.
• [12] Gordeziani, D.G. On the solvability of some boundary value problems for a variant of the theory of thin shells, Dokl. Akad. Nauk SSSR 215 (6), 1289-1292, 1974, in Russian.
• [13] Opic, B. and Kufner, A. Hardy-type inequalities, Longman Sci. Tech., Harlow, 1990.
• [14] Schwab, Ch. A-posteriori modeling error estimation for hierarchic plate models, Numer. Math. 74 (2), 221-259, 1996.
• [15] Vekua, I. On one method of calculating of prismatic shells, Trudy Tbilis. Mat. Inst. 21, 191-259, 1955, in Russian.
• [16] Vekua, I. Shell theory: general methods of construction, Pitman Advanced Publishing Program, Boston-London-Melbourne, 1985.
• [17] Vishik, M. I. Boundary value problems for elliptic equations degenerating of the boundary of domain, Math. Sb. 35 (77, 3), 513-568, 1954, in Russian.