Kiguradze, Ivan; Partsvania, Nino Rapidly growing and blow-up solutions to higher order nonlinear delay ordinary differential equations. (English) Zbl 07791162 Mem. Differ. Equ. Math. Phys. 90, 39-54 (2023). MSC: 34K05 34K12 34K25 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{N. Partsvania}, Mem. Differ. Equ. Math. Phys. 90, 39--54 (2023; Zbl 07791162) Full Text: Link
Kiguradze, Ivan; Partsvania, Nino The Cauchy weighted problem for singular in time and phase variables higher order delay differential equations. (English) Zbl 1519.34007 Mem. Differ. Equ. Math. Phys. 87, 63-76 (2022). MSC: 34A12 34B16 34B18 34K05 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{N. Partsvania}, Mem. Differ. Equ. Math. Phys. 87, 63--76 (2022; Zbl 1519.34007) Full Text: Link
Kiguradze, I. T. Two-point boundary value problems for essentially singular nonlinear second-order differential equations. (English. Russian original) Zbl 1428.34039 Differ. Equ. 55, No. 6, 776-786 (2019); translation from Differ. Uravn. 55, No. 6, 792-802 (2019). MSC: 34B16 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equ. 55, No. 6, 776--786 (2019; Zbl 1428.34039); translation from Differ. Uravn. 55, No. 6, 792--802 (2019) Full Text: DOI
Kiguradze, I. T. Two-point boundary value problems for essentially singular second-order linear differential equations. (English. Russian original) Zbl 1428.34034 Differ. Equ. 55, No. 5, 591-608 (2019); translation from Differ. Uravn. 55, No. 5, 607-624 (2019). Reviewer: Petio S. Kelevedjiev (Sliven) MSC: 34B05 34B16 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equ. 55, No. 5, 591--608 (2019; Zbl 1428.34034); translation from Differ. Uravn. 55, No. 5, 607--624 (2019) Full Text: DOI
Kiguradze, Ivan; Partsvania, Nino Some optimal conditions for the solvability and unique solvability of the two-point Neumann problem. (English) Zbl 1428.34038 Mem. Differ. Equ. Math. Phys. 75, 115-128 (2018). MSC: 34B15 34B05 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{N. Partsvania}, Mem. Differ. Equ. Math. Phys. 75, 115--128 (2018; Zbl 1428.34038) Full Text: Link
Kiguradze, I. T.; Kiguradze, T. I. Analog of the first Fredholm theorem for higher-order nonlinear differential equations. (English. Russian original) Zbl 1381.34040 Differ. Equ. 53, No. 8, 996-1004 (2017); translation from Differ. Uravn. 53, No. 8, 1024-1032 (2017). Reviewer: Yousef Gholami (Tabriz) MSC: 34B08 34B15 34B10 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{T. I. Kiguradze}, Differ. Equ. 53, No. 8, 996--1004 (2017; Zbl 1381.34040); translation from Differ. Uravn. 53, No. 8, 1024--1032 (2017) Full Text: DOI
Kiguradze, Ivan Oscillatory solutions of higher order nonlinear nonautonomous differential systems. (English) Zbl 1357.34068 Mem. Differ. Equ. Math. Phys. 69, 123-127 (2016). MSC: 34C10 34D05 37C60 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 69, 123--127 (2016; Zbl 1357.34068) Full Text: Link
Kiguradze, Ivan; Sokhadze, Zaza On nonlinear boundary value problems for higher order functional differential equations. (English) Zbl 1353.34077 Georgian Math. J. 23, No. 4, 537-550 (2016). MSC: 34K10 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{Z. Sokhadze}, Georgian Math. J. 23, No. 4, 537--550 (2016; Zbl 1353.34077) Full Text: DOI
Kiguradze, Ivan Periodic type boundary value problems for singular in phase variables nonlinear nonautonomous differential systems. (English) Zbl 1334.34054 Mem. Differ. Equ. Math. Phys. 66, 153-159 (2015). MSC: 34B16 34B18 37C60 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 66, 153--159 (2015; Zbl 1334.34054) 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
Kiguradze, Ivan A priori estimates of solutions of nonlinear boundary value problems for singular in phase variables higher order differential inequalities and systems of differential inequalities. (English) Zbl 1322.34035 Mem. Differ. Equ. Math. Phys. 63, 105-121 (2014). Reviewer: Smail Djebali (Algiers) MSC: 34B16 34B18 34A40 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 63, 105--121 (2014; Zbl 1322.34035) Full Text: Link
Kiguradze, I. T. Nonlinear nonlocal problems for second-order differential equations singular with respect to the phase variable. (English. Russian original) Zbl 1307.34050 Differ. Equ. 50, No. 8, 1018-1034 (2014); translation from Differ. Uravn. 50, No. 8, 1025-1041 (2014). MSC: 34B18 34B10 34B16 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equ. 50, No. 8, 1018--1034 (2014; Zbl 1307.34050); translation from Differ. Uravn. 50, No. 8, 1025--1041 (2014) Full Text: DOI
Kiguradze, Ivan; Sokhadze, Zaza Positive solutions of periodic type boundary value problems for first order singular functional differential equations. (English) Zbl 1302.34102 Georgian Math. J. 21, No. 3, 303-311 (2014). MSC: 34K10 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{Z. Sokhadze}, Georgian Math. J. 21, No. 3, 303--311 (2014; Zbl 1302.34102) Full Text: DOI
Kiguradze, Ivan A priori estimates of solutions of nonlinear boundary value problems for singular in a phase variable second order differential inequalities. (English) Zbl 1294.34012 Georgian Math. J. 21, No. 2, 211-224 (2014). MSC: 34A40 34B16 34B18 34B10 PDFBibTeX XMLCite \textit{I. Kiguradze}, Georgian Math. J. 21, No. 2, 211--224 (2014; Zbl 1294.34012) Full Text: DOI
Kiguradze, Ivan On nonlocal problems with nonlinear boundary conditions for singular ordinary-differential equations. (English) Zbl 1293.34026 Mem. Differ. Equ. Math. Phys. 59, 113-119 (2013). MSC: 34B10 34B16 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 59, 113--119 (2013; Zbl 1293.34026)
Kiguradze, Ivan Positive solutions of nonlocal problems for nonlinear singular differential systems. (English) Zbl 1295.34035 Mem. Differ. Equ. Math. Phys. 58, 135-138 (2013). MSC: 34B18 34B10 34B16 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 58, 135--138 (2013; Zbl 1295.34035)
Kiguradze, Ivan The Cauchy problem for singular in phase variables nonlinear ordinary differential equations. (English) Zbl 1304.34018 Georgian Math. J. 20, No. 4, 707-720 (2013). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34A12 34A40 PDFBibTeX XMLCite \textit{I. Kiguradze}, Georgian Math. J. 20, No. 4, 707--720 (2013; Zbl 1304.34018) Full Text: DOI
Kiguradze, Ivan; Lomtatidze, Alexander; Partsvania, Nino Some multi-point boundary value problems for second order singular differential equations. (English) Zbl 1298.34048 Mem. Differ. Equ. Math. Phys. 56, 133-141 (2012). MSC: 34B16 34B10 PDFBibTeX XMLCite \textit{I. Kiguradze} et al., Mem. Differ. Equ. Math. Phys. 56, 133--141 (2012; Zbl 1298.34048)
Kiguradze, Ivan The Dirichlet and focal boundary value problems for higher-order quasi-halflinear singular differential equations. (English) Zbl 1279.34039 Mem. Differ. Equ. Math. Phys. 54, 126-133 (2011). Reviewer: Irena Rachůnková (Olomouc) MSC: 34B16 34B18 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 54, 126--133 (2011; Zbl 1279.34039)
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)
Kiguradze, I. Some nonlocal problems for higher order singular ordinary differential equations. (English) Zbl 1235.34071 Proc. A. Razmadze Math. Inst. 155, 152-153 (2011). MSC: 34B16 34B10 PDFBibTeX XMLCite \textit{I. Kiguradze}, Proc. A. Razmadze Math. Inst. 155, 152--153 (2011; Zbl 1235.34071)
Kiguradze, Ivan; Kiguradze, Tariel Optimal conditions of solvability of nonlocal problems for second-order ordinary differential equations. (English) Zbl 1214.34016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 3, 757-767 (2011). Reviewer: Irena Rachůnková (Olomouc) MSC: 34B10 34B16 34B18 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{T. Kiguradze}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 3, 757--767 (2011; Zbl 1214.34016) Full Text: DOI
Kiguradze, Ivan Optimal conditions of solvability and unsolvability of nonlocal problems for essentially nonlinear differential systems. (English) Zbl 1201.34032 Commun. Math. Anal. 8, No. 3, 70-91 (2010). MSC: 34B10 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze}, Commun. Math. Anal. 8, No. 3, 70--91 (2010; Zbl 1201.34032) Full Text: Euclid
Kiguradze, Ivan On boundary value problems with conditions at infinity for nonlinear differential systems. (English) Zbl 1238.34038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1503-e1512 (2009). MSC: 34B15 34B40 34C11 PDFBibTeX XMLCite \textit{I. Kiguradze}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1503--e1512 (2009; Zbl 1238.34038) Full Text: DOI
Kiguradze, Ivan Bounded and vanishing at infinity solutions of nonlinear differential systems. (English) Zbl 1188.34043 Georgian Math. J. 16, No. 4, 711-724 (2009). MSC: 34C11 34D23 PDFBibTeX XMLCite \textit{I. Kiguradze}, Georgian Math. J. 16, No. 4, 711--724 (2009; Zbl 1188.34043)
Kiguradze, I. The Neumann problem for the second order nonlinear ordinary differential equations at resonance. (English) Zbl 1189.34041 Funct. Differ. Equ. 16, No. 2, 353-371 (2009). Reviewer: Haiyan Wang (Phoenix) MSC: 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze}, Funct. Differ. Equ. 16, No. 2, 353--371 (2009; Zbl 1189.34041)
Kiguradze, I. On solvability conditions for nonlinear operator equations. (English) Zbl 1187.34031 Math. Comput. Modelling 48, No. 11-12, 1914-1924 (2008). MSC: 34B15 47J05 34K13 PDFBibTeX XMLCite \textit{I. Kiguradze}, Math. Comput. Modelling 48, No. 11--12, 1914--1924 (2008; Zbl 1187.34031) Full Text: DOI
Kiguradze, Ivan On periodic type boundary value problems for higher order differential systems. (English) Zbl 1165.34316 Mem. Differ. Equ. Math. Phys. 44, 155-160 (2008). MSC: 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 44, 155--160 (2008; Zbl 1165.34316)
Kiguradze, Ivan; Kiguradze, Tariel On solvability of boundary value problems for higher order nonlinear hyperbolic equations. (English) Zbl 1162.35405 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 7, 1914-1933 (2008). MSC: 35L35 35L75 35A05 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{T. Kiguradze}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 7, 1914--1933 (2008; Zbl 1162.35405) Full Text: DOI
Cecchi, Mariella; Došlá, Zuzana; Kiguradze, Ivan; Marini, Mauro On nonnegative solutions of singular boundary-value problems for Emden-Fowler-type differential systems. (English) Zbl 1212.34044 Differ. Integral Equ. 20, No. 10, 1081-1106 (2007). MSC: 34B16 34B18 34B40 34C11 PDFBibTeX XMLCite \textit{M. Cecchi} et al., Differ. Integral Equ. 20, No. 10, 1081--1106 (2007; Zbl 1212.34044)
Kiguradze, Ivan On some boundary value problems with conditions at infinity for nonlinear differential systems. (English) Zbl 1198.34042 Bull. Georgian Acad. Sci. 175, No. 1, 27-33 (2007). MSC: 34B40 PDFBibTeX XMLCite \textit{I. Kiguradze}, Bull. Georgian Acad. Sci. 175, No. 1, 27--33 (2007; Zbl 1198.34042)
Kiguradze, Ivan; Partsvania, Nino On a priori estimates of solutions of systems of higher order nonlinear functional-differential inequalities. (English) Zbl 1142.34038 Georgian Math. J. 14, No. 3, 445-456 (2007). Reviewer: Robert Hakl (Brno) MSC: 34K05 34K10 34K12 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{N. Partsvania}, Georgian Math. J. 14, No. 3, 445--456 (2007; Zbl 1142.34038)
Kiguradze, I. On nonlinear boundary value problems for higher-order ordinary differential equations. (English) Zbl 1129.34009 Agarwal, Ravi P. (ed.) et al., Proceedings of the international conference on differential and difference equations and their applications, Melbourne, FL, USA, August 1–5, 2005. New York: Hindawi Publishing Corporation (ISBN 977-5945-38-0/hbk). 529-540 (2006). MSC: 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze}, in: Proceedings of the international conference on differential and difference equations and their applications, Melbourne, FL, USA, August 1--5, 2005. New York: Hindawi Publishing Corporation. 529--540 (2006; Zbl 1129.34009)
Kiguradze, I.; Kiguradze, T. On blow-up solutions of initial characteristic problem for nonlinear hyperbolic systems with two independent variables. (English) Zbl 1127.35346 Mem. Differ. Equ. Math. Phys. 38, 146-149 (2006). MSC: 35L70 35L15 35B30 35B60 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{T. Kiguradze}, Mem. Differ. Equ. Math. Phys. 38, 146--149 (2006; Zbl 1127.35346)
Agarwal, R. P.; Kiguradze, I. Two-point boundary value problems for higher-order linear differential equations with strong singularities. (English) Zbl 1137.34006 Bound. Value Probl. 2006, Article ID 83910, 32 p. (2006). MSC: 34B05 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{I. Kiguradze}, Bound. Value Probl. 2006, Article ID 83910, 32 p. (2006; Zbl 1137.34006) Full Text: DOI EuDML
Kiguradze, I.; Půža, B. On some boundary value problems for fourth order functional differential equations. (English) Zbl 1127.34038 Mem. Differ. Equ. Math. Phys. 35, 55-64 (2005). Reviewer: Jiří Šremr (Brno) MSC: 34K10 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{B. Půža}, Mem. Differ. Equ. Math. Phys. 35, 55--64 (2005; Zbl 1127.34038)
Kiguradze, I.; Partsvania, N. On minimal and maximal solutions of two-point singular boundary value problems. (English) Zbl 1114.34306 Mem. Differ. Equ. Math. Phys. 36, 147-152 (2005). Reviewer: Klaus R. Schneider (Berlin) MSC: 34B16 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{N. Partsvania}, Mem. Differ. Equ. Math. Phys. 36, 147--152 (2005; Zbl 1114.34306)
Agarwal, R. P.; Grace, S. R.; Kiguradze, I.; O’Regan, D. Oscillation of functional differential equations. (English) Zbl 1094.34047 Math. Comput. Modelling 41, No. 4-5, 417-461 (2005). Reviewer: Myron K. Grammatikopoulos (Ionnina) MSC: 34K11 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Math. Comput. Modelling 41, No. 4--5, 417--461 (2005; Zbl 1094.34047) Full Text: DOI
Kiguradze, I.; Mukhigulashvili, S. On periodic solutions of two-dimensional nonautonomous differential systems. (English) Zbl 1069.34062 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 241-256 (2005). Reviewer: Marat Akhmet (Ankara) MSC: 34C25 34A30 34A34 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{S. Mukhigulashvili}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 241--256 (2005; Zbl 1069.34062) Full Text: DOI
Kiguradze, I. T.; Mukhigulashvili, S. V. On nonlinear boundary value problems for two-dimensional differential systems. (English. Russian original) Zbl 1089.34510 Differ. Equ. 40, No. 6, 797-806 (2004); translation from Differ. Uravn. 40, No. 6, 747-755 (2004). Reviewer: Adriana Buică (Bellaterra) MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{S. V. Mukhigulashvili}, Differ. Equ. 40, No. 6, 797--806 (2004; Zbl 1089.34510); translation from Differ. Uravn. 40, No. 6, 747--755 (2004) Full Text: DOI
Kiguradze, I. On the solvability of nonlinear operator equations in a Banach space. (English) Zbl 1086.47036 Mem. Differ. Equ. Math. Phys. 31, 127-130 (2004). Reviewer: Peter Zabreiko (Minsk) MSC: 47J05 47H10 34K13 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 31, 127--130 (2004; Zbl 1086.47036)
Kiguradze, I. On two-point boundary value problems for higher order singular ordinary differential equations. (English) Zbl 1074.34020 Mem. Differ. Equ. Math. Phys. 31, 101-107 (2004). Reviewer: Petio S. Kelevedjiev (Sliven) MSC: 34B16 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 31, 101--107 (2004; Zbl 1074.34020)
Kiguradze, I.; Partsvania, N. On vanishing at infinity solutions of second order differential equations. (English) Zbl 1088.34512 Mem. Differ. Equ. Math. Phys. 32, 129-135 (2004). Reviewer: Yujun Dong (Nanjing) MSC: 34B40 34B16 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{N. Partsvania}, Mem. Differ. Equ. Math. Phys. 32, 129--135 (2004; Zbl 1088.34512)
Agarwal, R. P.; Kiguradze, I. On multi-point boundary value problems for linear ordinary differential equations with singularities. (English) Zbl 1058.34012 J. Math. Anal. Appl. 297, No. 1, 131-151 (2004). Reviewer: Irena Rachůnková (Olomouc) MSC: 34B10 34B05 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{I. Kiguradze}, J. Math. Anal. Appl. 297, No. 1, 131--151 (2004; Zbl 1058.34012) Full Text: DOI
Kiguradze, I. T. On boundary value problems for linear differential systems with singularities. (English. Russian original) Zbl 1079.34012 Differ. Equ. 39, No. 2, 212-225 (2003); translation from Differ. Uravn. 39, No. 2, 198-209 (2003). Reviewer: Zaihong Wang (Beijing) MSC: 34B16 34B05 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equ. 39, No. 2, 212--225 (2003; Zbl 1079.34012); translation from Differ. Uravn. 39, No. 2, 198--209 (2003) Full Text: DOI
Kiguradze, I. Some optimal conditions for the solvability of two-point singular boundary value problems. (English) Zbl 1062.34017 Funct. Differ. Equ. 10, No. 1-2, 259-281 (2003). Reviewer: Nikolai L. Vulchanov (Warsaw) MSC: 34B16 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze}, Funct. Differ. Equ. 10, No. 1--2, 259--281 (2003; Zbl 1062.34017)
Kiguradze, I.; Půža, B. Conti-Opial type existence and uniqueness theorems for nonlinear singular boundary value problems. (English) Zbl 1048.34108 Funct. Differ. Equ. 9, No. 3-4, 405-422 (2002). MSC: 34K10 34B16 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{B. Půža}, Funct. Differ. Equ. 9, No. 3--4, 405--422 (2002; Zbl 1048.34108)
Kiguradze, Ivan; Staněk, Svatoslav On periodic boundary value problem for the equation \(u^{\prime\prime} = f(t,u,u^{\prime})\) with one-sided growth restrictions on \(f\). (English) Zbl 1004.34012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 7, 1065-1075 (2002). Reviewer: Ruyun Ma (Lanzhou) MSC: 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{S. Staněk}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 7, 1065--1075 (2002; Zbl 1004.34012) Full Text: DOI
Kiguradze, I. T. Blow-up Kneser solutions to nonlinear higher-order differential equations. (English. Russian original) Zbl 1025.34034 Differ. Equ. 37, No. 6, 768-777 (2001); translation from Differ. Uravn. 37, No. 6, 735-743 (2001). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34C11 34C10 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equ. 37, No. 6, 768--777 (2001; Zbl 1025.34034); translation from Differ. Uravn. 37, No. 6, 735--743 (2001) Full Text: DOI
Kiguradze, Ivan On periodic solutions of \(n\)th order ordinary differential equations. (English) Zbl 0953.34028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1-8, 309-321 (2000). Reviewer: Bin Liu (Beijing) MSC: 34C25 34A34 PDFBibTeX XMLCite \textit{I. Kiguradze}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1--8, 309--321 (2000; Zbl 0953.34028) Full Text: DOI
Kiguradze, I. T.; Kusano, T. Periodic solutions of nonautonomous ordinary differential equations of higher order. (English. Russian original) Zbl 0936.34033 Differ. Equations 35, No. 1, 71-77 (1999); translation from Differ. Uravn. 35, No. 1, 72-78 (1999). Reviewer: J.Andres (Olomouc) MSC: 34C25 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{T. Kusano}, Differ. Equations 35, No. 1, 71--77 (1999; Zbl 0936.34033); translation from Differ. Uravn. 35, No. 1, 72--78 (1999)
Kiguradze, I.; Partsvania, N. On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments. (English) Zbl 0924.34064 Electron. J. Qual. Theory Differ. Equ. 1999, Paper No. 5, 22 p. (1999). MSC: 34K10 34K12 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{N. Partsvania}, Electron. J. Qual. Theory Differ. Equ. 1999, Paper No. 5, 22 p. (1999; Zbl 0924.34064) Full Text: DOI EuDML EMIS
Kiguradze, I. T. Systems of ordinary differential equations and differential inequalities with multi-point boundary conditions. (English. Russian original) Zbl 0911.34012 Differ. Equations 33, No. 5, 649-655 (1997); translation from Differ. Uravn. 33, No. 5, 646-652 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34B10 34A40 34A34 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 33, No. 5, 649--655 (1997; Zbl 0911.34012); translation from Differ. Uravn. 33, No. 5, 646--652 (1997)
Kiguradze, I.; Puža, B. On the solvability of boundary value problems for systems of nonlinear differential equations with deviating arguments. (English) Zbl 0939.34512 Mem. Differ. Equ. Math. Phys. 10, 157-161 (1997). MSC: 34K10 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{B. Puža}, Mem. Differ. Equ. Math. Phys. 10, 157--161 (1997; Zbl 0939.34512) Full Text: EuDML
Kiguradze, I. On periodic solutions of first order nonlinear differential equations with deviating arguments. (English) Zbl 0927.34053 Mem. Differ. Equ. Math. Phys. 10, 134-137 (1997). Reviewer: A.J.B.Lopes-Pinto (Lisboa) MSC: 34K13 34K10 34C25 34K12 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 10, 134--137 (1997; Zbl 0927.34053) Full Text: EuDML
Kiguradze, I. T.; Puzha, B. Theorems of Conti-Opial type for nonlinear functional-differential equations. (English. Russian original) Zbl 0908.34046 Differ. Equations 33, No. 2, 184-193 (1997); translation from Differ. Uravn. 33, No. 2, 185-194 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34K05 47J05 34K10 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{B. Puzha}, Differ. Equations 33, No. 2, 184--193 (1997; Zbl 0908.34046); translation from Differ. Uravn. 33, No. 2, 185--194 (1997)
Kiguradze, I.; Sokhadze, Z. On the global solvability of the Cauchy problem for singular functional differential equations. (English) Zbl 0882.34066 Georgian Math. J. 4, No. 4, 355-372 (1997). Reviewer: R.R.Akhmerov (Novosibirsk) MSC: 34K05 45D05 45G05 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{Z. Sokhadze}, Georgian Math. J. 4, No. 4, 355--372 (1997; Zbl 0882.34066) Full Text: EuDML EMIS
Kiguradze, I. On solvability of functional equations in the space of continuous vector functions. (English) Zbl 0866.47044 Mem. Differ. Equ. Math. Phys. 6, 109-112 (1995). MSC: 47J05 PDFBibTeX XMLCite \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 6, 109--112 (1995; Zbl 0866.47044) Full Text: EuDML EMIS
Kiguradze, I. T.; Sokhadze, Z. P. On the uniqueness of a solution to the Cauchy problem for functional differential equations. (English. Russian original) Zbl 0874.34055 Differ. Equations 31, No. 12, 1947-1958 (1995); translation from Differ. Uravn. 31, No. 12, 1977-1988 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 34K05 34G20 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{Z. P. Sokhadze}, Differ. Equations 31, No. 12, 1947--1958 (1995; Zbl 0874.34055); translation from Differ. Uravn. 31, No. 12, 1977--1988 (1995)
Kiguradze, I.; Tskhovrebadze, G. On two-point boundary value problems for systems of higher-order ordinary differential equations with singularities. (English) Zbl 0804.34023 Georgian Math. J. 1, No. 1, 31-45 (1994). Reviewer: M.G.Filippov (Kiev) MSC: 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{G. Tskhovrebadze}, Georgian Math. J. 1, No. 1, 31--45 (1994; Zbl 0804.34023) Full Text: EuDML EMIS
Kiguradze, I.; Tskhovrebadze, G. On the two-point boundary value problems for systems of higher-order ordinary differential equations with singularities. (English) Zbl 0786.34030 Proc. Georgian Acad. Sci., Math. 1, No. 1, 35-51 (1993). MSC: 34B15 PDFBibTeX XMLCite \textit{I. Kiguradze} and \textit{G. Tskhovrebadze}, Proc. Georgian Acad. Sci., Math. 1, No. 1, 35--51 (1993; Zbl 0786.34030) Full Text: EuDML
Kiguradze, I. T.; Chanturiya, T. A. Asymptotic properties of solutions of nonautonomous ordinary differential equations. Transl. from the Russian. (English) Zbl 0782.34002 Mathematics and Its Applications. Soviet Series. 89. Dordrecht: Kluwer Academic Publishers. xiv, 331 p. (1993). MSC: 34-02 34C10 34C11 34C05 34E05 34A30 34A34 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{T. A. Chanturiya}, Asymptotic properties of solutions of nonautonomous ordinary differential equations. Transl. from the Russian. Dordrecht: Kluwer Academic Publishers (1993; Zbl 0782.34002)
Kiguradze, I. T. An oscillation criterion for a class of ordinary differential equations. (Russian) Zbl 0768.34018 Differ. Uravn. 28, No. 2, 207-219 (1992). Reviewer: O.Došlý (Brno) MSC: 34C10 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Uravn. 28, No. 2, 207--219 (1992; Zbl 0768.34018)
Kiguradze, I. T. Oscillation tests for a class of ordinary differential equations. (English. Russian original) Zbl 0788.34027 Differ. Equations 28, No. 2, 180-190 (1992); translation from Differ. Uravn. 28, No. 2, 207-219 (1992). MSC: 34C10 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 28, No. 2, 180--190 (1992; Zbl 0788.34027); translation from Differ. Uravn. 28, No. 2, 207--219 (1992)
Kiguradze, I. On some boundary value problems for systems of nonlinear ordinary differential equations. (English) Zbl 0715.34029 Differential equations and their applications, Proc. 7th Conf., Equadiff 7, Prague/Czech. 1989, Teubner-Texte Math. 118, 37-46 (1990). MSC: 34B10 34A34 34C25 PDFBibTeX XML
Kiguradze, I. T.; Chanturiya, T. A. Asymptotic properties of solutions of non-autonomous ordinary differential equations. (Асимптотические свойства решений неавтономных обыкновенных дифференциальных уравнений.) (Russian. English summary) Zbl 0719.34003 Moskva: Nauka. 432 p. R. 5.50 (1990). Reviewer: M.Švec (Bratislava) MSC: 34-02 34E05 34E15 34C10 34C11 34C05 34A30 34A34 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{T. A. Chanturiya}, Асимптотические свойства решений неавтономных обыкновенных дифференциальных уравнений (Russian). Moskva: Nauka (1990; Zbl 0719.34003)
Kiguradze, I. T. A priori bounds for solutions of high-order nonlinear differential inequalities. (English. Russian original) Zbl 0573.34011 Differ. Equations 21, 136-149 (1985); translation from Differ. Uravn. 21, No. 2, 198-213 (1985). Reviewer: D.Bajnov MSC: 34A40 34B15 34A34 26D10 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 21, 136--149 (1985; Zbl 0573.34011); translation from Differ. Uravn. 21, No. 2, 198--213 (1985)
Bitsadze, D. G.; Kiguradze, I. T. Stability of sets of solutions of nonlinear boundary-value problems. (English. Russian original) Zbl 0564.34019 Differ. Equations 20, 1073-1078 (1984); translation from Differ. Uravn. 20, No. 9, 1495-1501 (1984). Reviewer: B.Aulbach MSC: 34B15 34D20 PDFBibTeX XMLCite \textit{D. G. Bitsadze} and \textit{I. T. Kiguradze}, Differ. Equations 20, 1073--1078 (1984; Zbl 0564.34019); translation from Differ. Uravn. 20, No. 9, 1495--1501 (1984)
Kvinikadze, G. G.; Kiguradze, I. T. On quickly increasing solutions of nonlinear ordinary differential equations. (Russian) Zbl 0503.34004 Soobshch. Akad. Nauk Gruz. SSR 106, 465-468 (1982). MSC: 34C99 34A34 34A12 PDFBibTeX XMLCite \textit{G. G. Kvinikadze} and \textit{I. T. Kiguradze}, Soobshch. Akad. Nauk Gruz. SSR 106, 465--468 (1982; Zbl 0503.34004)
Kiguradze, I. T.; Kvinikadze, G. G. On strongly increasing solutions of nonlinear ordinary differential equations. (English) Zbl 0493.34017 Ann. Mat. Pura Appl., IV. Ser. 130, 67-87 (1982). MSC: 34B15 34B10 34A34 34A12 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{G. G. Kvinikadze}, Ann. Mat. Pura Appl. (4) 130, 67--87 (1982; Zbl 0493.34017) Full Text: DOI
Kiguradze, I. T. On asymptotic behavior of solutions of nonlinear non-autonomous ordinary differential equations. (English) Zbl 0502.34041 Qualitative theory of differential equations, Vol. I, Szeged 1979, Colloq. Math. Soc. János Bolyai 30, 507-554 (1981). MSC: 34E05 34A34 34C10 PDFBibTeX XML
Kiguradze, I. T.; Rakhunkova, I. Solvability of a nonlinear Kneser problem. (English) Zbl 0466.34005 Differ. Equations 15, 1248-1256 (1980). MSC: 34A34 34B15 34C99 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{I. Rakhunkova}, Differ. Equations 15, 1248--1256 (1980; Zbl 0466.34005)
Kiguradze, I. T.; Rachůnková, I. On a certain nonlinear problem for two-dimensional differential systems. (English) Zbl 0465.34004 Arch. Math., Brno 16, 15-37 (1980). MSC: 34A12 34A34 92D25 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{I. Rachůnková}, Arch. Math., Brno 16, 15--37 (1980; Zbl 0465.34004) Full Text: EuDML
Kiguradze, I. T.; Rozov, N. Kh. Über die absolute Stabilität nichtlinearer instationärer Systeme der automatischen Regelung. (Russian) Zbl 0426.93041 Differ. Uravn. 16, 755-756 (1980). MSC: 93D05 93D20 93C10 93C99 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{N. Kh. Rozov}, Differ. Uravn. 16, 755--756 (1980; Zbl 0426.93041)
Kiguradze, I. T.; Rakhunkova, I. Über die Lösbarkeit eines nichtlinearen Problems Kneserschen Typs. (Russian) Zbl 0429.34016 Differ. Uravn. 15, 1754-1765 (1979). MSC: 34B15 34A34 34C11 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{I. Rakhunkova}, Differ. Uravn. 15, 1754--1765 (1979; Zbl 0429.34016)
Kiguradze, I. T. A periodic boundary-value problem for a two-dimensional differential system. (English) Zbl 0395.34021 Differ. Equations 13, 685-694 (1977). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 13, 685--694 (1977; Zbl 0395.34021)
Kiguradze, I. T.; Puza, B. Some boundary-value problems for a system of ordinary differential equations. (English) Zbl 0374.34013 Differ. Equations 12(1976), 1493-1500 (1977). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{B. Puza}, Differ. Equations 12, 1493--1500 (1977; Zbl 0374.34013)
Kiguradze, I. T. On the periodic boundary value problem for a two-dimensional differential system. (Russian) Zbl 0356.34020 Differ. Uravn. 13, 996-1007 (1977). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Uravn. 13, 996--1007 (1977; Zbl 0356.34020)
Kiguradze, I. T.; Puza, B. Über einige Randwertprobleme für ein System gewöhnlicher Differentialgleichungen. (Russian) Zbl 0355.34009 Differ. Uravn. 12, 2139-2148 (1976). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{B. Puza}, Differ. Uravn. 12, 2139--2148 (1976; Zbl 0355.34009)
Kiguradze, I. T.; Lezhava, N. R. On a nonlinear boundary value problem. (English) Zbl 0346.34008 Funct. theor. Methods Differ. Equat. 259-276 (1976). MSC: 34B15 PDFBibTeX XML
Kiguradze, I. T.; Lezava, N. R. Some nonlinear two-point boundary-value problems. (English) Zbl 0324.34015 Differ. Equations 10(1974), 1660-1671 (1976). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{N. R. Lezava}, Differ. Equations 10, 1660--1671 (1976; Zbl 0324.34015)
Kiguradze, I. T. Einige singuläre Randwertprobleme für gewöhnliche Differentialgleichungen. (Nekotorye singuljarnye kraevye zadaci dlja obyknovennyh differencial’nyh uravnenii.). (Russian) Zbl 0318.34027 Tbilisi: Verlag der Universität. 352 S. R. 1.93 (1975). MSC: 34B15 34-02 PDFBibTeX XML
Kiguradze, I. T.; Lezava, N. R. The problem of the solvability of nonlinear two-point boundary-value problems. (English. Russian original) Zbl 0313.34021 Math. Notes 16(1974), 873-880 (1975); translation from Mat. Zametki 16, 479-490 (1974). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{N. R. Lezava}, Math. Notes 16, 873--880 (1975; Zbl 0313.34021); translation from Mat. Zametki 16, 479--490 (1974) Full Text: DOI
Kiguradze, I. T.; Lezava, N. R. Über einige nichtlineare Zweipunkt-Randwertprobleme. (Russian) Zbl 0312.34017 Differ. Uravn. 10, 2147-2161 (1974). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze} and \textit{N. R. Lezava}, Differ. Uravn. 10, 2147--2161 (1974; Zbl 0312.34017)
Kakabadze, M. A.; Kiguradze, I. T. A boundary-value problem for a system of ordinary differential equations. (English) Zbl 0275.34020 Differ. Equations 7(1971), 1225-1229 (1974). MSC: 34B15 PDFBibTeX XMLCite \textit{M. A. Kakabadze} and \textit{I. T. Kiguradze}, Differ. Equations 7, 1225--1229 (1974; Zbl 0275.34020)
Kiguradze, I. T. On some non-linear boundary-value problems. II. (Russian) Zbl 0354.34019 Bul. Inst. Politeh. Iași, Secț. I 18(22), No. 3-4, 95-107 (1972). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Bul. Inst. Politeh. Iași, Secț. I 18(22), No. 3--4, 95--107 (1972; Zbl 0354.34019)
Kiguradze, I. T. A singular two-point boundary-value problem. (English) Zbl 0263.34017 Differ. Equations 5(1969), 1493-1504 (1972). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 5, 1493--1504 (1972; Zbl 0263.34017)
Kiguradze, I. T. Über ein singuläres Randwertproblem für eine gewöhnliche Differentialgleichung \(n\)-ter Ordnung. (Russian) Zbl 0261.34016 Tr. Inst. Prikl. Mat. 3, 187-206 (1972). MSC: 34B15 PDFBibTeX XML
Kiguradze, I. T. Some singular boundary value problems for ordinary nonlinear second order differential equations. (English) Zbl 0241.34016 Differ. Equations 4 (1968), 901-910 (1972). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 4, 901--910 (1972; Zbl 0241.34016)
Kakabadze, M. A.; Kiguradze, I. T. A boundary-value problem for a system of ordinary differential equations. (Russian) Zbl 0235.34042 Differ. Uravn. 7, 1611-1616 (1971). MSC: 34B15 PDFBibTeX XMLCite \textit{M. A. Kakabadze} and \textit{I. T. Kiguradze}, Differ. Uravn. 7, 1611--1616 (1971; Zbl 0235.34042)
Kiguradze, I. T. A priori estimates for derivatives of bounded functions satisfying second-order differential inequalities. (English) Zbl 0233.34016 Differ. Equations 3(1967), 541-546 (1971). MSC: 34A40 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 3, 541--546 (1971; Zbl 0233.34016)
Kiguradze, I. T. Über gewisse nichtlineare Randwertaufgaben. I. (Russian) Zbl 0303.34015 Bul. Inst. Politeh. Iași, Secț. I 16(20), No. 3-4, 57-65 (1970). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Bul. Inst. Politeh. Iași, Secț. I 16(20), No. 3--4, 57--65 (1970; Zbl 0303.34015)
Kiguradze, I. T. On a singular boundary value problem for an ordinary \(n\)-th order differential equation. (English. Russian original) Zbl 0243.34027 Sov. Math., Dokl. 11, 755-757 (1970); translation from Dokl. Akad. Nauk SSSR 192, 973-975 (1970). MSC: 34B15 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Sov. Math., Dokl. 11, 755--757 (1970; Zbl 0243.34027); translation from Dokl. Akad. Nauk SSSR 192, 973--975 (1970)
Kiguradze, I. T. On a singular two-point de la Vallée-Poussin problem. (Russian. English summary) Zbl 0237.34036 Annot. Dokl., Semin. Inst. Prikl. Mat., Tbilis. Univ. 1, 33-35 (1969). MSC: 34B15 PDFBibTeX XML
Kiguradze, I. T. Monotonic solutions for ordinary nonlinear differential equations of \(n\)-th order. (English. Russian original) Zbl 0197.06203 Sov. Math., Dokl. 9, 980-983 (1968); translation from Dokl. Akad. Nauk SSSR 181, 1054-1057 (1968). MSC: 34A34 49L99 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Sov. Math., Dokl. 9, 980--983 (1968; Zbl 0197.06203); translation from Dokl. Akad. Nauk SSSR 181, 1054--1057 (1968)
Kiguradze, I. T. The problem of oscillation of solutions of nonlinear differential equations. (English) Zbl 0155.41802 Differ. Equations 1(1965), 773-782 (1967). MSC: 34C10 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 1, 773--782 (1967; Zbl 0155.41802)
Kiguradze, I. T. Asymptotische Eigenschaften der Lösungen einer nichtlinearen Differentialgleichung von Emden-Fowlerschem Typ. (Russian) Zbl 0199.14403 Izv. Akad. Nauk SSSR, Ser. Mat. 29, 965-986 (1965). MSC: 34E05 34D05 34A34 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Izv. Akad. Nauk SSSR, Ser. Mat. 29, 965--986 (1965; Zbl 0199.14403)