Ashordia, Malkhaz; Kharshiladze, Nato On the well-posedness of the weighted Cauchy problem for systems of linear impulsive differential equations with singularities. (English) Zbl 1486.34044 Mem. Differ. Equ. Math. Phys. 85, 21-33 (2022). MSC: 34A12 34A30 34A37 34K26 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{N. Kharshiladze}, Mem. Differ. Equ. Math. Phys. 85, 21--33 (2022; Zbl 1486.34044) Full Text: Link
Ashordia, Malkhaz The general boundary value problems for linear systems of generalized ordinary differential equations, linear impulsive differential and ordinary differential systems. Numerical solvability. (English) Zbl 1473.34010 Mem. Differ. Equ. Math. Phys. 81, 1-184 (2020). MSC: 34A30 34A37 34K06 34K07 34B05 34K20 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 81, 1--184 (2020; Zbl 1473.34010) Full Text: Link
Ashordia, Malkhaz The initial problem for linear systems of generalized ordinary differential equations, linear impulsive and ordinary differential systems. Numerical solvability. (English) Zbl 1511.34003 Mem. Differ. Equ. Math. Phys. 78, 1-162 (2019). MSC: 34A06 34A12 34A30 34A37 34D20 65L05 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 78, 1--162 (2019; Zbl 1511.34003) Full Text: Link
Ashordia, Malkhaz; Kutsia, Malkhaz; Talakhadze, Mzia On the well-posedness of the Cauchy problem for systems of linear generalized ordinary differential equations. (English) Zbl 1434.34003 Mem. Differ. Equ. Math. Phys. 77, 105-113 (2019). MSC: 34A06 34A12 34A30 PDFBibTeX XMLCite \textit{M. Ashordia} et al., Mem. Differ. Equ. Math. Phys. 77, 105--113 (2019; Zbl 1434.34003) Full Text: Link
Ashordia, Malkhaz; Sesadze, Valida On the solvability and the well-posedness of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities. (English) Zbl 1430.34013 Mem. Differ. Equ. Math. Phys. 75, 139-149 (2018). MSC: 34A12 34A30 26A39 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{V. Sesadze}, Mem. Differ. Equ. Math. Phys. 75, 139--149 (2018; Zbl 1430.34013) Full Text: Link
Ashordia, Malkhaz On the well-posedness of antiperiodic problem for systems of nonlinear impulsive equations with fixed impulses points. (English) Zbl 1398.34038 Mem. Differ. Equ. Math. Phys. 74, 153-164 (2018). MSC: 34B37 34A37 34C25 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 74, 153--164 (2018; Zbl 1398.34038) Full Text: Link
Ashordia, Malkhaz; Chania, Medea; Kuciai, Malkhaz On the solvability of the periodic problem for systems of linear generalized ordinary differential equations. (English) Zbl 1398.34036 Mem. Differ. Equ. Math. Phys. 74, 7-26 (2018). MSC: 34B15 34A30 34C25 PDFBibTeX XMLCite \textit{M. Ashordia} et al., Mem. Differ. Equ. Math. Phys. 74, 7--26 (2018; Zbl 1398.34036) Full Text: Link
Ashordia, Malkhaz; Akhalaia, Shota; Talakhadze, Mzia On the antiperiodic problem for systems of nonlinear generalized ordinary differential equations. (English) Zbl 1395.34048 Mem. Differ. Equ. Math. Phys. 73, 141-149 (2018). MSC: 34C25 34C11 26A39 PDFBibTeX XMLCite \textit{M. Ashordia} et al., Mem. Differ. Equ. Math. Phys. 73, 141--149 (2018; Zbl 1395.34048) Full Text: Link
Ashordia, Malkhaz On the well-posedness of antiperiodic problem for systems of nonlinear impulsive differential equations with fixed impulses points. (English) Zbl 1390.34070 Mem. Differ. Equ. Math. Phys. 71, 139-150 (2017). MSC: 34B37 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 71, 139--150 (2017; Zbl 1390.34070) Full Text: Link
Ashordia, Malkhaz On the antiperiodic problem for systems of nonlinear generalized ordinary differential equations. (English) Zbl 1383.34036 Mem. Differ. Equ. Math. Phys. 70, 147-154 (2017). MSC: 34B15 34C11 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 70, 147--154 (2017; Zbl 1383.34036) Full Text: Link
Ashordia, Malkhaz On the well-posedness of antiperiodic problem for systems of linear generalized differential equations. (English) Zbl 1357.34045 Mem. Differ. Equ. Math. Phys. 69, 113-122 (2016). MSC: 34B05 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 69, 113--122 (2016; Zbl 1357.34045) Full Text: Link
Ashordia, Malkhaz On the solvability of the antiperiodic problem for linear systems of impulsive equations. (English) Zbl 1354.34052 Mem. Differ. Equ. Math. Phys. 69, 105-111 (2016). MSC: 34B37 34B05 34B10 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 69, 105--111 (2016; Zbl 1354.34052) Full Text: Link
Ashordia, Malkhaz Antiperiodic boundary value problem for systems of linear generalized differential equations. (English) Zbl 1334.34047 Mem. Differ. Equ. Math. Phys. 66, 141-152 (2015). MSC: 34B05 34B10 34A30 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 66, 141--152 (2015; Zbl 1334.34047) Full Text: Link
Ashordia, Malkhaz; Ekhvaia, Goderdzi; Topuridze, Nino On the conti-Opial type existence and uniqueness theorems for general nonlinear boundary value problems for systems of discrete equations. (English) Zbl 1330.39014 Mem. Differ. Equ. Math. Phys. 64, 155-162 (2015). MSC: 39A22 PDFBibTeX XMLCite \textit{M. Ashordia} et al., Mem. Differ. Equ. Math. Phys. 64, 155--162 (2015; Zbl 1330.39014) Full Text: Link
Ashordia, Malkhaz; Ekhvaia, Goderdzi On the solvability of multipoint boundary value problems for systems of nonlinear differential equations with fixed points of impulses actions. (English) Zbl 1332.34055 Mem. Differ. Equ. Math. Phys. 64, 143-154 (2015). MSC: 34B37 34B10 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{G. Ekhvaia}, Mem. Differ. Equ. Math. Phys. 64, 143--154 (2015; Zbl 1332.34055) Full Text: Link
Ashordia, Malkhaz; Ekhvaia, Goderdzi On the solvability of multipoint boundary value problems for systems of nonlinear difference equations. (English) Zbl 1328.39006 Mem. Differ. Equ. Math. Phys. 65, 151-158 (2015). MSC: 39A12 39A10 34B10 34B15 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{G. Ekhvaia}, Mem. Differ. Equ. Math. Phys. 65, 151--158 (2015; Zbl 1328.39006) Full Text: Link
Ashordia, Malkhaz; Ekhvaia, Goderdzi; Kekelia, Nestan On the well-possedness of general nonlinear boundary value problems for systems of impulsive equations with finite and fixed points of impulses. (English) Zbl 1319.34043 Mem. Differ. Equ. Math. Phys. 61, 147-159 (2014). Reviewer: Binxiang Dai (Changsha) MSC: 34B37 34B10 PDFBibTeX XMLCite \textit{M. Ashordia} et al., Mem. Differ. Equ. Math. Phys. 61, 147--159 (2014; Zbl 1319.34043) Full Text: Link
Ashordia, Malkhaz On the nonlocal nonlinear boundary value problems for systems of generalized differential equations with singularities. (English) Zbl 1311.34039 Mem. Differ. Equ. Math. Phys. 63, 141-149 (2014). MSC: 34B10 34B16 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 63, 141--149 (2014; Zbl 1311.34039) Full Text: Link
Ashordia, Malkhaz On conditions for the well-posedness of nonlocal problems for a class of systems of linear generalized differential equations with singularities. (English) Zbl 1293.34025 Mem. Differ. Equ. Math. Phys. 59, 105-112 (2013). MSC: 34B10 34B05 34B16 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 59, 105--112 (2013; Zbl 1293.34025)
Ashordia, Malkhaz; Ekhvaia, Goderdzi; Kekelia, Nestan On the Conti-Opial type existence and uniqueness theorems for general nonlinear boundary value problems for systems of impulsive equations with finite and fixed points of impulses actions. (English) Zbl 1293.34043 Mem. Differ. Equ. Math. Phys. 58, 125-134 (2013). MSC: 34B37 34B10 PDFBibTeX XMLCite \textit{M. Ashordia} et al., Mem. Differ. Equ. Math. Phys. 58, 125--134 (2013; Zbl 1293.34043)
Ashordia, Malkhaz On a two-point singular boundary value problem for systems of nonlinear generalized ordinary differential equations. (English) Zbl 1295.34029 Mem. Differ. Equ. Math. Phys. 58, 111-123 (2013). MSC: 34B16 34B15 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 58, 111--123 (2013; Zbl 1295.34029)
Ashordia, Malkhaz On two-point singular boundary value problems for systems of linear generalized ordinary differential equations. (English) Zbl 1298.34047 Mem. Differ. Equ. Math. Phys. 56, 9-35 (2012). MSC: 34B16 34B05 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 56, 9--35 (2012; Zbl 1298.34047)
Ashordia, Malkhaz On the Fredholm property for general linear boundary value problems for impulsive systems with singularities. (English) Zbl 1272.34036 Mem. Differ. Equ. Math. Phys. 54, 117-125 (2011). MSC: 34B37 34B16 34B05 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 54, 117--125 (2011; Zbl 1272.34036)
Ashordia, Malkhaz; Kvekveskiri, Murman The principle of a priori boundedness for boundary value problems for systems of nonlinear generalized ordinary differential equations. (English) Zbl 1260.34035 Mem. Differ. Equ. Math. Phys. 53, 155-162 (2011). MSC: 34B15 34C11 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{M. Kvekveskiri}, Mem. Differ. Equ. Math. Phys. 53, 155--162 (2011; Zbl 1260.34035)
Ashordia, M. On solvability of boundary value problems on an infinity interval for nonlinear two dimensional generalized and impulsive differential systems. (English) Zbl 1184.34036 Mem. Differ. Equ. Math. Phys. 47, 159-167 (2009). MSC: 34B37 34B40 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 47, 159--167 (2009; Zbl 1184.34036)
Ashordia, M.; Akhalaia, Sh.; Kekelia, N. On necessary and sufficient conditions for stability of linear systems of generalized ordinary differential equations. (English) Zbl 1181.34059 Mem. Differ. Equ. Math. Phys. 46, 115-128 (2009). Reviewer: Olusola Akinyele (Bowie) MSC: 34D20 34A30 PDFBibTeX XMLCite \textit{M. Ashordia} et al., Mem. Differ. Equ. Math. Phys. 46, 115--128 (2009; Zbl 1181.34059)
Ashordia, M. On the existence of bounded solutions for systems of nonlinear impulsive equations. (English) Zbl 1177.34049 Mem. Differ. Equ. Math. Phys. 45, 131-134 (2008). MSC: 34C11 34A37 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 45, 131--134 (2008; Zbl 1177.34049)
Ashordia, M. On the existence of bounded solutions for systems of nonlinear generalized ordinary differential equations. (English) Zbl 1177.34048 Mem. Differ. Equ. Math. Phys. 45, 125-130 (2008). MSC: 34C11 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 45, 125--130 (2008; Zbl 1177.34048)
Ashordia, Malkhaz; Akhalaia, Shota On the solvability of the periodic type boundary value problem for linear impulsive systems. (English) Zbl 1165.34327 Mem. Differ. Equ. Math. Phys. 44, 143-150 (2008). MSC: 34B37 34K13 34K45 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{S. Akhalaia}, Mem. Differ. Equ. Math. Phys. 44, 143--150 (2008; Zbl 1165.34327)
Ashordia, Malkhaz On the solvability of the periodic type boundary value problem for linear systems of generalized ordinary differential equations. (English) Zbl 1165.34399 Mem. Differ. Equ. Math. Phys. 44, 133-142 (2008). MSC: 34K13 34A30 34C25 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 44, 133--142 (2008; Zbl 1165.34399)
Ashordia, Malkhaz; Ekhvaia, Goderdzi On the solvability of a multipoint boundary value problem for systems of nonlinear impulsive equations with finite and fixed points of impulses actions. (English) Zbl 1157.34315 Mem. Differ. Equ. Math. Phys. 43, 153-158 (2008). MSC: 34B45 34B10 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{G. Ekhvaia}, Mem. Differ. Equ. Math. Phys. 43, 153--158 (2008; Zbl 1157.34315)
Ashordia, Malkhaz On the solvability of a multipoint boundary value problem for systems of nonlinear generalized ordinary differential equations. (English) Zbl 1155.34006 Mem. Differ. Equ. Math. Phys. 43, 143-152 (2008). MSC: 34B10 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 43, 143--152 (2008; Zbl 1155.34006)
Ashordia, Malkhaz On a priori estimates of bounded solutions of systems of linear generalized ordinary differential inequalites. (English) Zbl 1151.34314 Mem. Differ. Equ. Math. Phys. 41, 151-156 (2007). MSC: 34C11 34B40 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 41, 151--156 (2007; Zbl 1151.34314)
Ashordia, M.; Kekelia, N. On comparison theorems of stability between linear systems of ordinary, impulsive and difference equations and linear systems of generalized ordinary differential equations. (English) Zbl 1126.34343 Mem. Differ. Equ. Math. Phys. 39, 143-148 (2006). MSC: 34D20 34A30 34A37 39A11 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{N. Kekelia}, Mem. Differ. Equ. Math. Phys. 39, 143--148 (2006; Zbl 1126.34343)
Ashordia, M.; Ekhvaia, G. Criteria of correctness of linear boundary value problems for systems of impulsive equations with finite and fixed points of impulses actions. (English) Zbl 1101.34306 Mem. Differ. Equ. Math. Phys. 37, 154-157 (2006). MSC: 34B37 34B40 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{G. Ekhvaia}, Mem. Differ. Equ. Math. Phys. 37, 154--157 (2006; Zbl 1101.34306)
Ashordia, M. On the general and multipoint boundary value problems for linear systems of generalized ordinary differential equations, linear impulse and linear difference systems. (English) Zbl 1098.34010 Mem. Differ. Equ. Math. Phys. 36, 1-80 (2005). MSC: 34B10 34K06 34A37 34B05 34B37 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 36, 1--80 (2005; Zbl 1098.34010)
Ashordia, M. On Lyapunov stability of a class of linear systems of difference equations. (English) Zbl 1068.39002 Mem. Differ. Equ. Math. Phys. 31, 149-152 (2004). Reviewer: Marat Akhmet (Ankara) MSC: 39A11 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 31, 149--152 (2004; Zbl 1068.39002)
Ashordia, M. On Lyapunov stability of a class of linear systems of generalized ordinary differential equations and linear impulsive systems. (English) Zbl 1066.34052 Mem. Differ. Equ. Math. Phys. 31, 139-144 (2004). MSC: 34D20 34A37 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 31, 139--144 (2004; Zbl 1066.34052)
Ashordia, M. On the Fredholm property of linear boundary value problems for systems of generalized ordinary differential equations with singularities. (English) Zbl 1073.34017 Mem. Differ. Equ. Math. Phys. 32, 137-141 (2004). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34B16 34B05 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 32, 137--141 (2004; Zbl 1073.34017)
Ashordia, M.; Kekelia, N. On the comparison theorems for stability of linear systems of impulsive equations. (English) Zbl 1058.34504 Mem. Differ. Equ. Math. Phys. 30, 149-152 (2003). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34A37 34D20 34A30 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{N. Kekelia}, Mem. Differ. Equ. Math. Phys. 30, 149--152 (2003; Zbl 1058.34504)
Ashordia, M.; Kekelia, N. On effective sufficient conditions for stability of linear systems of impulsive equations. (English) Zbl 1058.34069 Mem. Differ. Equ. Math. Phys. 28, 147-151 (2003). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34D20 34A37 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{N. Kekelia}, Mem. Differ. Equ. Math. Phys. 28, 147--151 (2003; Zbl 1058.34069)
Ashordia, M.; Kekelia, N. On the stability of linear systems of generalized ordinary differential equations. (English) Zbl 1003.34040 Mem. Differ. Equ. Math. Phys. 23, 147-151 (2001). MSC: 34D20 34A30 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{N. Kekelia}, Mem. Differ. Equ. Math. Phys. 23, 147--151 (2001; Zbl 1003.34040)
Ashordia, M.; Kekelia, N.; Chilachava, T. Criteria of stability for linear systems of generalized ordinary differential equations. (English) Zbl 0981.34039 Mem. Differ. Equ. Math. Phys. 22, 143-146 (2001). MSC: 34D20 PDFBibTeX XMLCite \textit{M. Ashordia} et al., Mem. Differ. Equ. Math. Phys. 22, 143--146 (2001; Zbl 0981.34039)
Ashordia, M.; Kekelia, N. On Lyapunov stability of linear systems of generalized ordinary differential equations. (English) Zbl 0981.34038 Mem. Differ. Equ. Math. Phys. 21, 134-137 (2000). MSC: 34D20 34A30 PDFBibTeX XMLCite \textit{M. Ashordia} and \textit{N. Kekelia}, Mem. Differ. Equ. Math. Phys. 21, 134--137 (2000; Zbl 0981.34038) Full Text: EuDML
Ashordia, M. On existence of solutions to the periodic boundary value problem for a nonlinear system of generalized ordinary differential equations. (English) Zbl 0934.34010 Mem. Differ. Equ. Math. Phys. 16, 150-153 (1999). Reviewer: I.Rachůnková (Olomouc) MSC: 34B15 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 16, 150--153 (1999; Zbl 0934.34010) Full Text: EuDML
Ashordia, M. On the existence of nonnegative solutions of the periodic boundary value problem for a system of linear generalized ordinary differential equations. (English) Zbl 0939.34506 Mem. Differ. Equ. Math. Phys. 10, 153-156 (1997). MSC: 34B05 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 10, 153--156 (1997; Zbl 0939.34506) Full Text: EuDML
Ashordia, M. On systems of linear generalized ordinary differential and integral inequalities. (English) Zbl 0939.34504 Mem. Differ. Equ. Math. Phys. 10, 122-124 (1997). MSC: 34A30 34A40 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 10, 122--124 (1997; Zbl 0939.34504) Full Text: EuDML
Ashordia, M. On successive approximation for solving the Cauchy problem for a system of linear generalized ordinary differential equations. (English) Zbl 0939.34503 Mem. Differ. Equ. Math. Phys. 10, 111-112 (1997). MSC: 34A12 34A45 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 10, 111--112 (1997; Zbl 0939.34503) Full Text: EuDML
Ashordia, M. On the question of solvability of the periodic boundary value problem for a system of generalized ordinary differential equations. (English) Zbl 0907.34014 Mem. Differ. Equ. Math. Phys. 11, 159-162 (1997). MSC: 34B05 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 11, 159--162 (1997; Zbl 0907.34014) Full Text: EuDML EMIS
Ashordia, M. On a method of construction of the solution of a multipoint boundary value problem for a system of generalized ordinary differential equations. (English) Zbl 0866.34012 Mem. Differ. Equ. Math. Phys. 5, 119-121 (1995). MSC: 34B10 34A45 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 5, 119--121 (1995; Zbl 0866.34012) Full Text: EuDML EMIS
Ashordia, M. On the stability of solutions of nonlinear boundary value problems for systems of generalized ordinary differential equations. (English) Zbl 0866.34013 Mem. Differ. Equ. Math. Phys. 5, 117-118 (1995). MSC: 34B15 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 5, 117--118 (1995; Zbl 0866.34013) Full Text: EuDML EMIS
Ashordia, M. On the question of solvability of a periodic boundary value problem for a system of linear generalized ordinary differential equations. (English) Zbl 0866.34011 Mem. Differ. Equ. Math. Phys. 6, 121-123 (1995). MSC: 34B05 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 6, 121--123 (1995; Zbl 0866.34011) Full Text: EuDML EMIS
Ashordia, Malkhaz On the stability of solutions of a multipoint boundary value problem for a system of generalized ordinary differential equations. (English) Zbl 0873.34012 Mem. Differ. Equ. Math. Phys. 6, 1-57 (1995). Reviewer: I.Rachůnková (Olomouc) MSC: 34B10 65L10 PDFBibTeX XMLCite \textit{M. Ashordia}, Mem. Differ. Equ. Math. Phys. 6, 1--57 (1995; Zbl 0873.34012) Full Text: EuDML EMIS