caa a22 4500 605524319 CHVBK 20210128100753.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10958-015-2318-4 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2318-4 Basic Boundary-Value Problems for a Solid Body with Double Porosity and Two Nonintersecting Spherical Cavities [Elektronische Daten] [L. Giorgashvili, G. Karseladze, M. Kharashvili] In this paper, we examine the basic boundary-value problems for a three-dimensional space filled with a solid body having double porosity and two nonintersecting spherical cavities. We search for a solution of the problem by using the representation of a general solution of a system of homogeneous differential equations of statics, which is expressed in terms of four harmonic and one metaharmonic functions. The solution of the problem is reduced to the investigation of an infinite system of linear algebraic equations. It is shown that the obtained system is of normal type. Solutions of the considered problems are obtained in the form of absolutely and uniformly convergent series. Springer Science+Business Media New York, 2015 Giorgashvili L. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut Karseladze G. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut Kharashvili M. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/4(2015-04-01), 371-392 1072-3374 206:4<371 2015 206 10958 https://doi.org/10.1007/s10958-015-2318-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2318-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Giorgashvili L. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut NATIONALLICENCE 700 1- Karseladze G. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut NATIONALLICENCE 700 1- Kharashvili M. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/4(2015-04-01), 371-392 1072-3374 206:4<371 2015 206 10958