Avalishvili, Gia; Avalishvili, Mariam On investigation of nonclassical three-dimensional model for thermoelastic solids with three phase-lags. (English) Zbl 07811428 Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 3, 7-21 (2023). MSC: 74F05 74H20 74H25 35Q74 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 3, 7--21 (2023; Zbl 07811428)
Baghaturia, Giorgi; Menteshashvili, Marina Cauchy problem with closed support of the data for quasi-linear equation of mixed type. (English) Zbl 07811426 Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 1, 22-27 (2023). MSC: 35M11 35L72 35L80 PDFBibTeX XMLCite \textit{G. Baghaturia} and \textit{M. Menteshashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 1, 22--27 (2023; Zbl 07811426)
Avalishvili, Gia; Avalishvili, Mariam On approximation of nonclassical model for thermoelastic bars by one-dimensional problems. (English) Zbl 1506.35122 Bull. Georgian Natl. Acad. Sci. (N.S.) 16, No. 3, 7-16 (2022). MSC: 35L53 74F05 74K10 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 16, No. 3, 7--16 (2022; Zbl 1506.35122) Full Text: Link
Jangveladze, Temur Finite difference scheme for one system of nonlinear partial differential equations. (English) Zbl 1503.65171 Bull. Georgian Natl. Acad. Sci. (N.S.) 16, No. 2, 7-13 (2022). MSC: 65M06 35K55 65M12 PDFBibTeX XMLCite \textit{T. Jangveladze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 16, No. 2, 7--13 (2022; Zbl 1503.65171) Full Text: Link
Rogava, Jemal; Gulua, David Reduction of a four-layer semi-discrete scheme for an abstract evolution equation to two-layer schemes and estimation of the approximate solution errors by using associated polynomials. (English) Zbl 1511.65085 Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 2, 23-30 (2021). MSC: 65M06 65L05 65M15 35B25 65J08 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{D. Gulua}, Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 2, 23--30 (2021; Zbl 1511.65085) Full Text: Link
Kokilashvili, Vakhtang; Makharadze, Dali An extension of some Calderón-Zygmund inequality. (English) Zbl 1455.35005 Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 3, 12-13 (2020). MSC: 35A23 35J05 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{D. Makharadze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 3, 12--13 (2020; Zbl 1455.35005)
Avalishvili, Gia; Avalishvili, Mariam On approximation of three-dimensional model of thermoelastic piezoelectric plates by two-dimensional problems. (English) Zbl 1431.35197 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 4, 23-30 (2018). MSC: 35Q74 74F15 74K20 74F05 74B05 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 4, 23--30 (2018; Zbl 1431.35197) Full Text: Link
Meladze, Hamlet; Abashidze, Marina Optimality conditions for \(m\)-point nonlocal boundary value problems. (English) Zbl 1430.49027 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 2, 7-12 (2018). MSC: 49K20 49J20 35D30 35J25 PDFBibTeX XMLCite \textit{H. Meladze} and \textit{M. Abashidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 2, 7--12 (2018; Zbl 1430.49027) Full Text: Link
Kirtskhalia, Vladimir Nonlinear equations of surface gravity waves. (English) Zbl 1412.35259 Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 4, 54-59 (2017). MSC: 35Q35 76B15 76B45 PDFBibTeX XMLCite \textit{V. Kirtskhalia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 4, 54--59 (2017; Zbl 1412.35259) Full Text: Link
Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang H. On investigation of dynamical three-dimensional model of thermoelastic piezoelectric solids. (English) Zbl 1459.74055 Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 4, 13-21 (2017). MSC: 74F15 74F05 74H80 74H20 74H25 35Q74 PDFBibTeX XMLCite \textit{G. Avalishvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 4, 13--21 (2017; Zbl 1459.74055) Full Text: Link
Papukashvili, Archil; Davitashvili, Teimuraz; Vashakidze, Zurab Approximate solution of anti-plane problem of elasticity theory for composite bodies weakened by cracks by integral equation method. (English) Zbl 1347.74091 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 50-57 (2015). MSC: 74S30 74B05 74E20 74R99 35Q74 PDFBibTeX XMLCite \textit{A. Papukashvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 50--57 (2015; Zbl 1347.74091) Full Text: Link
Avalishvili, Gia; Avalishvili, Mariam On a nonlocal problem for an abstract ultraparabolic equation. (English) Zbl 1352.35070 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 37-42 (2015). MSC: 35K70 35A01 35A02 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 37--42 (2015; Zbl 1352.35070) Full Text: Link
Mafikandi, Hassan; Amirfakhrian, Majid Solving linear partial differential equations by moving least squares method. (English) Zbl 1351.65077 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 26-36 (2015). MSC: 65M60 35K05 35L05 PDFBibTeX XMLCite \textit{H. Mafikandi} and \textit{M. Amirfakhrian}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 26--36 (2015; Zbl 1351.65077) Full Text: Link
Makatsaria, Giorgi; Manjavidze, Nino The Riemann-Hilbert boundary value problem for Carleman-Vekua equation with polar singularities. (English) Zbl 1355.30042 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 12-19 (2015). Reviewer: Heinrich Begehr (Berlin) MSC: 30G20 30E25 35Q15 PDFBibTeX XMLCite \textit{G. Makatsaria} and \textit{N. Manjavidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 12--19 (2015; Zbl 1355.30042) Full Text: Link
Gia, Avalishvili; Avalishvili, Mariam; Gordeziani, David On the investigation of dynamical hierarchical models of elastic multi-structures consisting of three-dimensional body and multilayer sub-structure. (English) Zbl 1342.35377 Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 3, 20-31 (2014). MSC: 35Q74 74K20 74B10 PDFBibTeX XMLCite \textit{A. Gia} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 3, 20--31 (2014; Zbl 1342.35377) Full Text: Link
Avalishvili, Gia; Avalishvili, Mariam On approximation of Lord-Shulman model for thermoelastic plates with variable thickness by two-dimensional problems. (English) Zbl 1306.74029 Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 2, 4-14 (2014). MSC: 74K20 74F05 35Q74 74S30 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 2, 4--14 (2014; Zbl 1306.74029) Full Text: Link
Gordeziani, David; Meladze, Iulia Nonlocal contact problem for two-dimensional linear elliptic equations. (English) Zbl 1311.35073 Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 1, 40-46 (2014). MSC: 35J15 35B65 PDFBibTeX XMLCite \textit{D. Gordeziani} and \textit{I. Meladze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 1, 40--46 (2014; Zbl 1311.35073) Full Text: Link
Rogava, Jemal; Gulua, David On the convergence of the Crank-Nicolson semidiscrete scheme for an evolutionary equation in the Banach space. (English) Zbl 1310.65105 Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 2, 21-32 (2013). MSC: 65M12 65M06 65M20 35K90 34G10 65M15 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{D. Gulua}, Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 2, 21--32 (2013; Zbl 1310.65105) Full Text: Link
Bitsadze, Rusudan; Menteshashvili, Marine The nonlinear characteristic Goursat problem for a nonlinear oscillation equation. (English) Zbl 1282.35252 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 3, 10-18 (2012). MSC: 35L80 35B05 35L70 35L20 PDFBibTeX XMLCite \textit{R. Bitsadze} and \textit{M. Menteshashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 3, 10--18 (2012; Zbl 1282.35252) Full Text: Link
Avalishvili, Gia; Avalishvili, Mariam Nonclassical problems with nonlocal initial conditions for abstract second-order evolution equations. (English) Zbl 1248.35130 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 17-24 (2011). MSC: 35L90 35A01 35A02 35L20 35R20 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 17--24 (2011; Zbl 1248.35130)
Khelashvili, Anzor; Nadareishvili, Teimuraz On the boundary conditions for the radial Schrödinger equation. (English) Zbl 1235.35088 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 2, 37-41 (2011). MSC: 35J10 35Q41 81Q05 PDFBibTeX XMLCite \textit{A. Khelashvili} and \textit{T. Nadareishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 2, 37--41 (2011; Zbl 1235.35088) Full Text: arXiv
Avalishvili, Gia; Avalishvili, Mariam; Gordeziani, David On integral nonlocal boundary value problems for some partial differential equations. (English) Zbl 1227.35015 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 1, 31-37 (2011). MSC: 35A15 35R09 35L20 35J25 PDFBibTeX XMLCite \textit{G. Avalishvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 1, 31--37 (2011; Zbl 1227.35015)
Iamanidze, Tamaz; Losaberidze, Marina On dynamic effect caused by moving punches on elastic half-plane with the account of friction force. (English) Zbl 1276.74016 Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 3, 39-43 (2010). MSC: 74E10 74A10 35Q74 PDFBibTeX XMLCite \textit{T. Iamanidze} and \textit{M. Losaberidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 3, 39--43 (2010; Zbl 1276.74016) Full Text: Link
Saleem, Muhammad Shoaib; Shashiashvili, Malkhaz The weighted reverse Poincaré inequality for the difference of two weak subsolutions. (English) Zbl 1219.35060 Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 3, 25-28 (2010). MSC: 35J15 35D30 PDFBibTeX XMLCite \textit{M. S. Saleem} and \textit{M. Shashiashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 3, 25--28 (2010; Zbl 1219.35060) Full Text: Link
Zakradze, Mamuli; Sanikidze, Zaza; Tabagari, Zaza On solving the external three-dimensional Dirichlet problem for a harmonic function by the probabilistic method. (English) Zbl 1219.35075 Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 3, 19-23 (2010). MSC: 35J25 35J05 31B20 65N75 PDFBibTeX XMLCite \textit{M. Zakradze} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 3, 19--23 (2010; Zbl 1219.35075) Full Text: Link
Avalishvili, Gia; Avalishvili, Mariam On the investigation of one-dimensional models for thermoelastic beams. (English) Zbl 1379.74013 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 25-32 (2009). MSC: 74K10 35Q74 74H10 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 25--32 (2009; Zbl 1379.74013) Full Text: Link
Chaduneli, Alexander; Tabagari, Zaza; Zakradze, Mamuli On solving the internal three-dimensional Dirichlet problem for a harmonic function by the method of probabilistic solution. (English) Zbl 1230.65015 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 1, 25-28 (2008). MSC: 65C99 35J05 PDFBibTeX XMLCite \textit{A. Chaduneli} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 1, 25--28 (2008; Zbl 1230.65015) Full Text: Link
Iamanidze, Tamaz; Losaberidze, Marine On excitation of orthotropic half-plane caused by concentrated force, moving on the boundary. (English) Zbl 1217.74028 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 3, 43-47 (2008). MSC: 74E10 35Q74 74A10 PDFBibTeX XMLCite \textit{T. Iamanidze} and \textit{M. Losaberidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 3, 43--47 (2008; Zbl 1217.74028)
Avalishvili, Gia; Avalishvili, Mariam; Gordeziani, David Construction and investigation of hierarchical models for thermoelastic prismatic shells. (English) Zbl 1217.74078 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 3, 35-42 (2008). MSC: 74K25 35Q74 46E35 74F05 74G10 74G25 74G30 PDFBibTeX XMLCite \textit{G. Avalishvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 3, 35--42 (2008; Zbl 1217.74078)
Avalishvili, Gia; Avalishvili, Mariam On time nonlocal problems for some nonlinear evolution equations. (English) Zbl 1180.35318 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 14-18 (2008). MSC: 35K90 35D30 47H05 35K58 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 14--18 (2008; Zbl 1180.35318)