Ashordia, Malkhaz; Kharshiladze, Nato On the Cauchy problem for linear systems of impulsive ordinary differential equations with singularities. (English) Zbl 1430.34018 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 3, 11-16 (2018). MSC: 34A37 34A12 34A30 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{N. Kharshiladze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 3, 11--16 (2018; Zbl 1430.34018) Full Text: Link
Papukashvili, Archil Approximate solution of boundary value problems for the ordinary second-order differential equation with variable coefficients by means of operator interpolation method. (English) Zbl 1358.65050 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 3, 7-16 (2016). MSC: 65L10 34B05 34B27 PDFBibTeX XMLCite \textit{A. Papukashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 3, 7--16 (2016; Zbl 1358.65050) Full Text: Link
Partsvania, Nino Boundary value problems on an infinite interval for singular in phase variables two-dimensional differential systems. (English) Zbl 1334.34063 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 2, 13-18 (2015). MSC: 34B40 34B18 34B16 PDFBibTeX XMLCite \textit{N. Partsvania}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 2, 13--18 (2015; Zbl 1334.34063) Full Text: Link
Kiguradze, Ivan Solvability conditions of nonlocal problems for singular in phase variables higher order differential equations. (English) Zbl 1334.34050 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 2, 7-12 (2015). MSC: 34B10 34B16 PDFBibTeX XMLCite \textit{I. Kiguradze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 2, 7--12 (2015; Zbl 1334.34050) Full Text: Link
Khelashvili, Anzor; Khachidze, Tamar Rigorous theoretical arguments for suppression of the Lamb shift. (English) Zbl 1308.81078 Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 2, 45-49 (2013). MSC: 81Q05 81Q10 34L40 81R05 17A70 81V45 PDFBibTeX XMLCite \textit{A. Khelashvili} and \textit{T. Khachidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 2, 45--49 (2013; Zbl 1308.81078) 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
Khelashvili, Anzor; Nadareishvili, Teimuraz Delta-like singularity in the radial Laplace operator and the status of the radial Schrödinger equation. (English) Zbl 1252.81052 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 67-73 (2012). MSC: 81Q05 34L40 81R05 PDFBibTeX XMLCite \textit{A. Khelashvili} and \textit{T. Nadareishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 67--73 (2012; Zbl 1252.81052) Full Text: arXiv
Ashordia, Malkhaz; Kvekveskiri, Murman The Cauchy-Nicoletti multipoint boundary value problem for systems of linear generalized differential equations with singularities. (English) Zbl 1254.34028 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 14-22 (2012). MSC: 34B10 34A30 34B16 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{M. Kvekveskiri}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 14--22 (2012; Zbl 1254.34028)
Kiguradze, Ivan Positive solutions of two-point boundary value problems for higher order nonlinear singular differential equations. (English) Zbl 1254.34038 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 5-10 (2011). MSC: 34B18 34B16 PDFBibTeX XMLCite \textit{I. Kiguradze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 5--10 (2011; Zbl 1254.34038)
Partsvania, Nino On extremal solutions of two-point boundary value problems for second order nonlinear singular differential equations. (English) Zbl 1235.34072 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 2, 31-36 (2011). MSC: 34B16 34B15 PDFBibTeX XMLCite \textit{N. Partsvania}, Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 2, 31--36 (2011; Zbl 1235.34072)
Kharatishvili, Guram L. On general solutions of first-order nonlinear matrix and scalar ordinary differential equations. (English) Zbl 1217.34002 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 5-10 (2009). MSC: 34A05 34A34 PDFBibTeX XMLCite \textit{G. L. Kharatishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 5--10 (2009; Zbl 1217.34002)
Gabrichidze, Guram; Giorgadze, Demur; Kapanadze, Giorgi On one mathematical model of the linear oscillator. (English) Zbl 1379.70055 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 33-36 (2009). MSC: 70J35 34K11 PDFBibTeX XMLCite \textit{G. Gabrichidze} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 33--36 (2009; Zbl 1379.70055) Full Text: Link
Kharatishvili, Guram L. On general solutions of particular classes of ordinary nonlinear differential equations. (English) Zbl 1184.34008 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 1, 13-19 (2009). MSC: 34A05 34A34 PDFBibTeX XMLCite \textit{G. L. Kharatishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 1, 13--19 (2009; Zbl 1184.34008)
Arsenashvili, Akaki; Nachaoui, Abdeljalil; Tadumadze, Tamaz On approximate solution of an inverse problem for linear delay differential equations. (English) Zbl 1284.34115 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 2, 24-28 (2008). MSC: 34K29 34K06 34K07 34K35 PDFBibTeX XMLCite \textit{A. Arsenashvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 2, 24--28 (2008; Zbl 1284.34115)
Kharatishvili, Guram L. General solutions of linear matrix and scalar subcanonical second order differential equations with variable coefficients. (English) Zbl 1284.34004 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 2, 5-12 (2008). MSC: 34A05 34A30 PDFBibTeX XMLCite \textit{G. L. Kharatishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 2, 5--12 (2008; Zbl 1284.34004)