Edit Profile (opens in new tab) Khusainov, Denis Ya. Compute Distance To: Compute Author ID: khusainov.denis-ya Published as: Khusainov, D. Ya.; Khusainov, Denys Ya.; Khusainov, D.; Khusainov, Denys; Khusajnov, D. Ya.; Khusainov, Denis Ya.; Khusainov, D. Ya; Khusainov, Denis; Khusainov, Denys Y.; Khusainov, D. Y.; Husainov, D. J.; Khusainov, Denis Y.; Khusainov, Denys Ya; Husainov, D. Ja.; Husainov, D. Ya Homepage: http://mss.unicyb.kiev.ua/index.php?p=staff&staff=7 External Links: MGP · Math-Net.Ru Documents Indexed: 211 Publications since 1969, including 1 Book Reviewing Activity: 50 Reviews Co-Authors: 92 Co-Authors with 186 Joint Publications 1,165 Co-Co-Authors all top 5 Co-Authors 24 single-authored 39 Diblík, Josef 17 Kozhametov, Abat T. 16 Shatyrko, Andrij V. 12 Yun’kova, E. A. 9 Růžičková, Miroslava 8 Baštinec, Jaromír 7 Nechaeva, Irina G. 7 Stadnik, Oksana I. 6 Benditkis, D. B. 6 Bychkov, Alexei S. 6 Ivanov, Anatolij F. 6 Ivokhin, E. V. 6 Zhujkova, A. G. 5 Dzhalladova, Irada A. 5 Martsenyuk, Vasyl’ P. 4 Komarov, Yu. A. 4 Kuz’mych, Olena I. 4 Shuklin, German V. 4 Sirenko, Andrii S. 3 Boĭchuk, Oleksandr Andriĭovych 3 Ivanov, Anatoli F. 3 Lukachova, J. 3 Mamedova, Violeta G. 3 Pokojovy, Michael 3 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 3 Shevelenko, E. E. 3 Šmarda, Zdeněk 3 Svoboda, Zdeněk 2 Agarwal, Ravi P. 2 Azizbayov, Elvin Ibrahim 2 Belykh, T. V. 2 Chernienko, V. A. 2 Davydov, V. F. 2 Demchenko, Hanna 2 Dolenko, Galyna A. 2 Garkusha, Nataliya I. 2 Grytsay, Irina V. 2 Kasperov, V. N. 2 Kiselevskij, A. G. 2 Kosarevs’ka, Nataliya V. 2 Kosarevskaya, N. V. 2 Kovarzh, Irina V. 2 Kuzmich, Olena I. 2 Kyrashchuk, Dmytro D. 2 Martynyuk, Anatoliĭ Andriĭovych 2 Mustafaeva, R. 2 Půža, Bedřich 2 Shatyrko, Andriy 2 Shatyrko, O. A. 2 Shucklin, German V. 2 Stadnyk, Oksana I. 2 Tsitritskij, O. E. 1 Baštincová, A. 1 Bychkov, Oleksij S. 1 Davidov, V. 1 Davydov, Vladimir 1 Demchenko, G. A. 1 Gritsaj, I. V. 1 Grytsaj, Iryna V. 1 Grytsay, Iryna 1 Kamratov, S. V. 1 Khusainov, Timur D. 1 Kojametov, A. 1 Kolechkina, Alla 1 Kosarevs’ka, Nataliya B. 1 Kovarzh, Iryna V. 1 Kozhakhmetov, A. T. 1 Kozhamentov, A. T. 1 Kukharenko, A. V. 1 Kukharenko, O. V. 1 Kukharenko, Oleksandra 1 Langerak, Rom 1 Lobok, A. P. 1 Lukacheva, Ya. 1 Nikiforova, N. S. 1 Novotná, Veronika 1 Racke, Reinhard 1 Ruzhickova, M. 1 Růžičková, Irena 1 Ryvolová, A. 1 Shakot’ko, T. I. 1 Sharyf, M. 1 Shatyrko, Andrei 1 Suzdal’tsev, V. V. 1 Swishchuk, Anatoliy 1 Tsitritskaya, D. Ya. 1 Tsitritskaya, L. N. 1 Tsytryts’kyj, Je. O. 1 van Nooijen, Ronald R. P. 1 Vereikina, M. B. 1 Verejkina, Maryna B. 1 Zhuĭkova, A. G. all top 5 Serials 56 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 13 Ukrainian Mathematical Journal 11 Ukraïns’kyĭ Matematychnyĭ Zhurnal 10 Vychislitel’naya i Prikladnaya Matematika 9 Vestnik Kievskogo Universiteta. Modelirovanie i Optimizatsiya Slozhnykh Sistem 8 Advances in Difference Equations 5 Differential Equations 5 Nonlinear Dynamics and Systems Theory 4 Differentsial’nye Uravneniya 4 Abstract and Applied Analysis 4 Differential Equations 3 Journal of Soviet Mathematics 3 Cybernetics and Systems Analysis 3 Dopovidi Akademiï Nauk Ukraïni 3 Functional Differential Equations 3 Nonlinear Oscillations 2 Computers & Mathematics with Applications 2 Archivum Mathematicum 2 Siberian Mathematical Journal 2 Journal of Applied Mathematics and Stochastic Analysis 2 Journal of Automation and Information Sciences 2 Journal of Mathematical Sciences (New York) 2 Discrete Dynamics in Nature and Society 2 Issledovanie Operatsiĭ i ASU 2 Zhurnal Obchyslyuval’noïta Prykladnoï Matematyky 2 Studies of the University of Žilina. Mathematical Series 2 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Cybernetics 1 Soviet Automatic Control 1 Applied Mathematics Letters 1 Prikladnaya Mekhanika 1 SIAM Journal on Mathematical Analysis 1 Russian Mathematics 1 Tatra Mountains Mathematical Publications 1 International Applied Mechanics 1 Kibernetika i Vychislitel’naya Tekhnika (Kiev) 1 Random Operators and Stochastic Equations 1 Obchyslyuval’na ta Prykladna Matematyka 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Dinamicheskie Sistemy (Simferopol’) 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Boundary Value Problems 1 Advances in Nonlinear Analysis all top 5 Fields 125 Ordinary differential equations (34-XX) 78 Systems theory; control (93-XX) 24 Difference and functional equations (39-XX) 11 Partial differential equations (35-XX) 8 Probability theory and stochastic processes (60-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 5 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 550 times in 248 Documents Cited by ▼ Year ▼ Linear autonomous time-delay system with permutation matrices solving. Zbl 1064.34042Khusainov, D. Ya.; Shuklin, G. V. 48 2003 Controllability of linear discrete systems with constant coefficients and pure delay. Zbl 1161.93004Diblík, Josef; Khusainov, Denys Ya.; Růžičková, M. 40 2008 Relative controllability in systems with pure delay. Zbl 1100.34062Khusainov, D. Ya.; Shuklin, G. V. 39 2005 Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices. Zbl 1094.39002Diblík, J.; Khusainov, D. Ya. 38 2006 Fredholm’s boundary-value problems for differential systems with a single delay. Zbl 1190.34073Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 35 2010 Representation of solutions of linear discrete systems with constant coefficients and pure delay. Zbl 1139.39027Diblík, J.; Khusainov, D. Ya. 29 2006 Representation of a solution of the Cauchy problem for an oscillating system with pure delay. Zbl 1276.34055Khusainov, D. Ya.; Diblík, J.; Růžičková, M.; Lukáčová, J. 28 2008 Exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1330.39019Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 26 2016 Solution of a heat equation with delay. Zbl 1277.35193Khusainov, D. Ya.; Ivanov, A. F.; Kovarzh, I. V. 16 2009 Control of oscillating systems with a single delay. Zbl 1184.93015Diblík, J.; Khusainov, D. Ya.; Lukáčová, J.; Růžičková, M. 16 2010 Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients. Zbl 1214.34059Baštinec, J.; Diblík, J.; Khusainov, D. Ya.; Ryvolová, A. 16 2010 Boundary-value problems for weakly nonlinear delay differential systems. Zbl 1222.34075Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 15 2011 The method of Lyapunov functions in the investigation of the stability of functional-differential systems. (Metod funktsij Lyapunova v issledovanii ustojchivosti differentsial’no-funktsional’nykh sistem.) Zbl 0911.34066Khusainov, D. Ya.; Shatyrko, A. V. 15 1997 Investigation of the stability of linear systems of neutral type by the Lyapunov-function method. Zbl 0674.34077Khusainov, D. Ya.; Yun’kova, E. A. 12 1988 Boundary value problems for delay differential systems. Zbl 1204.34087Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 11 2010 Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals. Zbl 1377.34081Shatyrko, Andrei; Diblík, Josef; Khusainov, Denys; Růžičková, Miroslava 11 2012 Stability of nonlinear autonomous quadratic discrete systems in the critical case. Zbl 1200.39005Diblík, Josef; Khusainov, Denys Ya.; Grytsay, Irina V.; Šmarda, Zdenĕk 10 2010 Estimates of exponential stability for solutions of stochastic control systems with delay. Zbl 1217.93150Dzhalladova, Irada A.; Baštinec, Jaromír; Diblík, Josef; Khusainov, Denys Y. 9 2011 Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay. Zbl 1250.35117Diblík, Josef; Khusainov, Denis; Kukharenko, Oleksandra; Svoboda, Zdeněk 8 2012 Weak delay in systems with an aftereffect. Zbl 1048.34104Khusainov, D. Ya.; Benditkis, D. B.; Diblik, J. 8 2002 Convergence estimates for solutions of linear stationary systems of differential-difference equations with constant delay. Zbl 1138.34340Khusainov, D. Ya.; Ivanov, A. F.; Kozhametov, A. T. 7 2005 Strong and mild extrapolated \(L^{2}\)-solutions to the heat equation with constant delay. Zbl 1331.35357Khusainov, Denys; Pokojovy, Michael; Racke, Reinhard 7 2015 Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay. Zbl 1167.39001Diblík, J.; Khusainov, D. Ya.; Šmarda, Z. 7 2009 Stabilization of neutral-type indirect control systems to absolute stability state. Zbl 1351.34092Shatyrko, Andriy; van Nooijen, Ronald R. P.; Kolechkina, Alla; Khusainov, Denys 6 2015 Stability and exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1410.39027Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 5 2015 Solving the linear 1D thermoelasticity equations with pure delay. Zbl 1476.35264Khusainov, Denys Ya.; Pokojovy, Michael 5 2015 Exponential convergence estimates for delay difference systems. Zbl 1031.39002Bychkov, A. S.; Khusainov, D. Ya. 4 2002 Convergence of solutions of the neutral type nonautonomous systems. Zbl 1180.34085Khusainov, D. Ya; Kozhametov, A. T. 4 2006 Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone. Zbl 1211.34066Khusainov, D. Ya.; Diblík, J.; Svoboda, Z.; Šmarda, Z. 4 2011 Constructive estimation of the Lyapunov function for quadratic nonlinear systems. Zbl 1397.70031Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A. 4 2018 On a representation of solutions of linear delay systems. Zbl 1104.34046Khusainov, D. Ya.; Ivanov, A. F.; Shuklin, G. V. 3 2005 Absolute stability conditions construction of non-direct regulator systems by Lyapunov-Krasovskiy functional. Zbl 1199.93216Shatyrko, A. V.; Khusainov, D. Ya. 3 2009 Stability of one difference equation with positive coefficients. Zbl 0979.39006Khusainov, D. Ya.; Nikiforova, N. S. 3 1999 Estimation of stability region for differential systems with quadratic right-hand side. Zbl 1249.34150Khusainov, D. Ya.; Dzhalladova, I. A.; Shatyrko, O. A. 2 2011 Some remarks on the extremal Lyapunov function for linear systems. Zbl 0549.34052Komarov, Yu. A.; Khusainov, D. Ya. 2 1983 Investigation of interval stability of differential regulator systems with time delay by Lyapunov-Krasovsky functional. Zbl 1199.93253Shatyrko, A. V.; Khusainov, D. Ya. 2 2009 Solutions of discrete equations with prescribed asymptotic behavior. Zbl 1069.39008Diblík, Josef; Khusainov, Denys; Růžičková, Irena 2 2004 Stability and estimates for the convergence of solutions for systems involving quadratic terms with constant deviating arguments. Zbl 0981.34069Khusainov, D.; Agarwal, R. P.; Davidov, V. 2 1999 Stability investigation of quadratic systems with delay. Zbl 0956.34064Davydov, Vladimir; Khusainov, Denys 2 2000 Spectrum control in linear stationary systems with delay. Zbl 0976.93029Khusainov, D.; Agarwal, R. P.; Kosarevskaya, N.; Kojametov, A. 2 2000 On a method for finding the solution of the Lyapunov equation with a given spectrum. Zbl 0551.34029Khusainov, D. Ya.; Yun’kova, E. A. 2 1984 An exponential decay of solutions of neutral type stochastic equations. Zbl 0834.60065Bychkov, A. S.; Khusainov, D. 2 1995 Stability of a system of differential equations with pure delay. Zbl 1026.34083Diblik, Josef; Khusainov, Denys Ya.; Mamedova, Violeta G. 2 2002 Two-sided estimates of solutions to systems with delay. Zbl 0924.34067Khusainov, D. Ya.; Martsenyuk, V. P. 2 1996 Integral estimates of solutions to nonlinear systems and their applications. Zbl 1343.34131Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A. 2 2016 Estimation of magnitude of retardation in linear differential systems with deviated argument. Zbl 0533.34049Khusainov, D. Ya.; Yun’kova, E. A. 2 1983 Exponential estimates of solutions of linear stochastic differential functional equations. Zbl 0748.60050Nechaeva, I. G.; Khusainov, D. Ya. 2 1990 Representation of the solution for linear system of delay equations with distributed parameters. Zbl 1305.35014Diblik, J.; Khusainov, D.; Kukharenko, O. 2 2012 On a method for constructing Lyapunov-Krasovskij functionals for linear systems with retarded argument. Zbl 0699.34069Khusainov, D. Ya. 2 1989 Investigation of absolute non-uniform interval stability of neutral type systems by Lyapunov functions method. Zbl 1249.93133Shatyrko, A. V.; Khusainov, D. Ya. 1 2011 Stability of delay systems with quadratic nonlinearities. Zbl 1113.34057Khusainov, D.; Ivanov, A.; Grytsay, I. 1 2006 The estimation of the dynamics of indirect control switching systems. Zbl 1265.93147Růžičková, Miroslava; Kuzmych, Olena; Khusainov, Denis Y. 1 2011 The solution of wave equation with delay. Zbl 1142.35621Khusainov, Denys Ya.; Ivanov, Anatolij F.; Kovarzh, Iryna V. 1 2006 Solution of one-dimensional thermal conductivity equation with delay. Zbl 1092.80501Khusainov, Denys Ya.; Kovarzh, Irina V. 1 2004 Stability of differential systems with rational right-hand side. Zbl 0938.34045Khusainov, D. Ya.; Shevelenko, E. E. 1 1995 Stability of rational delay differential systems. Zbl 0852.34070Khusainov, D. Ya.; Shevelenko, E. E. 1 1995 Optimization of stability estimates of systems of stochastic differential-difference equations. Zbl 0875.34025Bychkov, A. S.; Lobok, A. P.; Nechaeva, I. G.; Khusainov, D. Ya. 1 1992 Absolute stability of control systems of the neutral type. Zbl 0789.93100Khusainov, D. Ya. 1 1992 Stability of neutral stochastic systems against a small deviation in the variable. Zbl 0798.60061Khusainov, D. Ya.; Bychkov, A. S. 1 1992 Derivation of bounds of stability of solutions for stochastic differential-functional equations. Zbl 0839.60055Nechaeva, I. G.; Khusajnov, D. Ya. 1 1992 Interval stability of the regulation systems with delay. Zbl 1014.34065Kozhametov, Abat T.; Shatyrko, Andrij V.; Khusainov, Denys Ya. 1 2001 Stability of an autonomous system with quadratic right-hand side in the critical case. Zbl 1035.34049Diblík, J.; Khusainov, D. 1 2002 An application of the second Lyapunov method to stability investigation of differential equations with deviations. Zbl 0915.34066Khusainov, Denis 1 1998 Solution estimates of quadratic systems with delay. Zbl 0883.34075Khusainov, D. Ya.; Davydov, V. F. 1 1996 Investigation of stability conditions of stochastical perturbed systems with lag. Zbl 0782.93092Nechaeva, I. G.; Khusainov, D. Ya. 1 1992 Modelling processes of population dynamics. Zbl 1313.92067Shatyrko, O. A.; Khusainov, D. Ya.; Dzhalladova, I. A. 1 2014 Investigation of interval stability of linear systems of neutral type of Lyapunov function method. Zbl 1011.34064Khusainov, Denis Ya. 1 2002 Optimal stabilization for differential systems with delays – Malkin’s approach. Zbl 1414.93160Demchenko, Hanna; Diblík, J.; Khusainov, D. Ya. 1 2019 Exponential stability of linear discrete systems with multiple delays. Zbl 1417.39055Baštinec, J.; Demchenko, H.; Diblík, J.; Khusainov, D. Ya. 1 2018 An exponential estimate of solutions of linear systems with delay under arbitrary deviation of the argument. Zbl 0693.34074Khusainov, D. Ya. 1 1989 On exponential stability of linear systems with delay. Zbl 0696.34054Khusainov, D. Ya. 1 1989 Exponential decrease of the solutions of linear systems with deviating argument of neutral type. Zbl 0712.34081Khusainov, D. Ya. 1 1990 Estimates of the stability of solutions of systems of differential- functional equations of neutral type. Zbl 0741.34051Khusainov, D. Ya 1 1991 Über die Stabilität der Lösungen von Differentialgleichungen mit retardiertem Argument. Zbl 0297.34068Khusainov, D. Ya.; Sharkovskij, A. N. 1 1974 On the Cauchy problem for a linear harmonic oscillator with pure delay. Zbl 1422.34188Khusainov, Denys Ya; Pokojovy, Michael; Azizbayov, Elvin I. 1 2015 Optimal stabilization for differential systems with delays – Malkin’s approach. Zbl 1414.93160Demchenko, Hanna; Diblík, J.; Khusainov, D. Ya. 1 2019 Constructive estimation of the Lyapunov function for quadratic nonlinear systems. Zbl 1397.70031Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A. 4 2018 Exponential stability of linear discrete systems with multiple delays. Zbl 1417.39055Baštinec, J.; Demchenko, H.; Diblík, J.; Khusainov, D. Ya. 1 2018 Exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1330.39019Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 26 2016 Integral estimates of solutions to nonlinear systems and their applications. Zbl 1343.34131Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A. 2 2016 Strong and mild extrapolated \(L^{2}\)-solutions to the heat equation with constant delay. Zbl 1331.35357Khusainov, Denys; Pokojovy, Michael; Racke, Reinhard 7 2015 Stabilization of neutral-type indirect control systems to absolute stability state. Zbl 1351.34092Shatyrko, Andriy; van Nooijen, Ronald R. P.; Kolechkina, Alla; Khusainov, Denys 6 2015 Stability and exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1410.39027Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 5 2015 Solving the linear 1D thermoelasticity equations with pure delay. Zbl 1476.35264Khusainov, Denys Ya.; Pokojovy, Michael 5 2015 On the Cauchy problem for a linear harmonic oscillator with pure delay. Zbl 1422.34188Khusainov, Denys Ya; Pokojovy, Michael; Azizbayov, Elvin I. 1 2015 Modelling processes of population dynamics. Zbl 1313.92067Shatyrko, O. A.; Khusainov, D. Ya.; Dzhalladova, I. A. 1 2014 Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals. Zbl 1377.34081Shatyrko, Andrei; Diblík, Josef; Khusainov, Denys; Růžičková, Miroslava 11 2012 Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay. Zbl 1250.35117Diblík, Josef; Khusainov, Denis; Kukharenko, Oleksandra; Svoboda, Zdeněk 8 2012 Representation of the solution for linear system of delay equations with distributed parameters. Zbl 1305.35014Diblik, J.; Khusainov, D.; Kukharenko, O. 2 2012 Boundary-value problems for weakly nonlinear delay differential systems. Zbl 1222.34075Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 15 2011 Estimates of exponential stability for solutions of stochastic control systems with delay. Zbl 1217.93150Dzhalladova, Irada A.; Baštinec, Jaromír; Diblík, Josef; Khusainov, Denys Y. 9 2011 Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone. Zbl 1211.34066Khusainov, D. Ya.; Diblík, J.; Svoboda, Z.; Šmarda, Z. 4 2011 Estimation of stability region for differential systems with quadratic right-hand side. Zbl 1249.34150Khusainov, D. Ya.; Dzhalladova, I. A.; Shatyrko, O. A. 2 2011 Investigation of absolute non-uniform interval stability of neutral type systems by Lyapunov functions method. Zbl 1249.93133Shatyrko, A. V.; Khusainov, D. Ya. 1 2011 The estimation of the dynamics of indirect control switching systems. Zbl 1265.93147Růžičková, Miroslava; Kuzmych, Olena; Khusainov, Denis Y. 1 2011 Fredholm’s boundary-value problems for differential systems with a single delay. Zbl 1190.34073Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 35 2010 Control of oscillating systems with a single delay. Zbl 1184.93015Diblík, J.; Khusainov, D. Ya.; Lukáčová, J.; Růžičková, M. 16 2010 Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients. Zbl 1214.34059Baštinec, J.; Diblík, J.; Khusainov, D. Ya.; Ryvolová, A. 16 2010 Boundary value problems for delay differential systems. Zbl 1204.34087Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 11 2010 Stability of nonlinear autonomous quadratic discrete systems in the critical case. Zbl 1200.39005Diblík, Josef; Khusainov, Denys Ya.; Grytsay, Irina V.; Šmarda, Zdenĕk 10 2010 Solution of a heat equation with delay. Zbl 1277.35193Khusainov, D. Ya.; Ivanov, A. F.; Kovarzh, I. V. 16 2009 Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay. Zbl 1167.39001Diblík, J.; Khusainov, D. Ya.; Šmarda, Z. 7 2009 Absolute stability conditions construction of non-direct regulator systems by Lyapunov-Krasovskiy functional. Zbl 1199.93216Shatyrko, A. V.; Khusainov, D. Ya. 3 2009 Investigation of interval stability of differential regulator systems with time delay by Lyapunov-Krasovsky functional. Zbl 1199.93253Shatyrko, A. V.; Khusainov, D. Ya. 2 2009 Controllability of linear discrete systems with constant coefficients and pure delay. Zbl 1161.93004Diblík, Josef; Khusainov, Denys Ya.; Růžičková, M. 40 2008 Representation of a solution of the Cauchy problem for an oscillating system with pure delay. Zbl 1276.34055Khusainov, D. Ya.; Diblík, J.; Růžičková, M.; Lukáčová, J. 28 2008 Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices. Zbl 1094.39002Diblík, J.; Khusainov, D. Ya. 38 2006 Representation of solutions of linear discrete systems with constant coefficients and pure delay. Zbl 1139.39027Diblík, J.; Khusainov, D. Ya. 29 2006 Convergence of solutions of the neutral type nonautonomous systems. Zbl 1180.34085Khusainov, D. Ya; Kozhametov, A. T. 4 2006 Stability of delay systems with quadratic nonlinearities. Zbl 1113.34057Khusainov, D.; Ivanov, A.; Grytsay, I. 1 2006 The solution of wave equation with delay. Zbl 1142.35621Khusainov, Denys Ya.; Ivanov, Anatolij F.; Kovarzh, Iryna V. 1 2006 Relative controllability in systems with pure delay. Zbl 1100.34062Khusainov, D. Ya.; Shuklin, G. V. 39 2005 Convergence estimates for solutions of linear stationary systems of differential-difference equations with constant delay. Zbl 1138.34340Khusainov, D. Ya.; Ivanov, A. F.; Kozhametov, A. T. 7 2005 On a representation of solutions of linear delay systems. Zbl 1104.34046Khusainov, D. Ya.; Ivanov, A. F.; Shuklin, G. V. 3 2005 Solutions of discrete equations with prescribed asymptotic behavior. Zbl 1069.39008Diblík, Josef; Khusainov, Denys; Růžičková, Irena 2 2004 Solution of one-dimensional thermal conductivity equation with delay. Zbl 1092.80501Khusainov, Denys Ya.; Kovarzh, Irina V. 1 2004 Linear autonomous time-delay system with permutation matrices solving. Zbl 1064.34042Khusainov, D. Ya.; Shuklin, G. V. 48 2003 Weak delay in systems with an aftereffect. Zbl 1048.34104Khusainov, D. Ya.; Benditkis, D. B.; Diblik, J. 8 2002 Exponential convergence estimates for delay difference systems. Zbl 1031.39002Bychkov, A. S.; Khusainov, D. Ya. 4 2002 Stability of a system of differential equations with pure delay. Zbl 1026.34083Diblik, Josef; Khusainov, Denys Ya.; Mamedova, Violeta G. 2 2002 Stability of an autonomous system with quadratic right-hand side in the critical case. Zbl 1035.34049Diblík, J.; Khusainov, D. 1 2002 Investigation of interval stability of linear systems of neutral type of Lyapunov function method. Zbl 1011.34064Khusainov, Denis Ya. 1 2002 Interval stability of the regulation systems with delay. Zbl 1014.34065Kozhametov, Abat T.; Shatyrko, Andrij V.; Khusainov, Denys Ya. 1 2001 Stability investigation of quadratic systems with delay. Zbl 0956.34064Davydov, Vladimir; Khusainov, Denys 2 2000 Spectrum control in linear stationary systems with delay. Zbl 0976.93029Khusainov, D.; Agarwal, R. P.; Kosarevskaya, N.; Kojametov, A. 2 2000 Stability of one difference equation with positive coefficients. Zbl 0979.39006Khusainov, D. Ya.; Nikiforova, N. S. 3 1999 Stability and estimates for the convergence of solutions for systems involving quadratic terms with constant deviating arguments. Zbl 0981.34069Khusainov, D.; Agarwal, R. P.; Davidov, V. 2 1999 An application of the second Lyapunov method to stability investigation of differential equations with deviations. Zbl 0915.34066Khusainov, Denis 1 1998 The method of Lyapunov functions in the investigation of the stability of functional-differential systems. (Metod funktsij Lyapunova v issledovanii ustojchivosti differentsial’no-funktsional’nykh sistem.) Zbl 0911.34066Khusainov, D. Ya.; Shatyrko, A. V. 15 1997 Two-sided estimates of solutions to systems with delay. Zbl 0924.34067Khusainov, D. Ya.; Martsenyuk, V. P. 2 1996 Solution estimates of quadratic systems with delay. Zbl 0883.34075Khusainov, D. Ya.; Davydov, V. F. 1 1996 An exponential decay of solutions of neutral type stochastic equations. Zbl 0834.60065Bychkov, A. S.; Khusainov, D. 2 1995 Stability of differential systems with rational right-hand side. Zbl 0938.34045Khusainov, D. Ya.; Shevelenko, E. E. 1 1995 Stability of rational delay differential systems. Zbl 0852.34070Khusainov, D. Ya.; Shevelenko, E. E. 1 1995 Optimization of stability estimates of systems of stochastic differential-difference equations. Zbl 0875.34025Bychkov, A. S.; Lobok, A. P.; Nechaeva, I. G.; Khusainov, D. Ya. 1 1992 Absolute stability of control systems of the neutral type. Zbl 0789.93100Khusainov, D. Ya. 1 1992 Stability of neutral stochastic systems against a small deviation in the variable. Zbl 0798.60061Khusainov, D. Ya.; Bychkov, A. S. 1 1992 Derivation of bounds of stability of solutions for stochastic differential-functional equations. Zbl 0839.60055Nechaeva, I. G.; Khusajnov, D. Ya. 1 1992 Investigation of stability conditions of stochastical perturbed systems with lag. Zbl 0782.93092Nechaeva, I. G.; Khusainov, D. Ya. 1 1992 Estimates of the stability of solutions of systems of differential- functional equations of neutral type. Zbl 0741.34051Khusainov, D. Ya 1 1991 Exponential estimates of solutions of linear stochastic differential functional equations. Zbl 0748.60050Nechaeva, I. G.; Khusainov, D. Ya. 2 1990 Exponential decrease of the solutions of linear systems with deviating argument of neutral type. Zbl 0712.34081Khusainov, D. Ya. 1 1990 On a method for constructing Lyapunov-Krasovskij functionals for linear systems with retarded argument. Zbl 0699.34069Khusainov, D. Ya. 2 1989 An exponential estimate of solutions of linear systems with delay under arbitrary deviation of the argument. Zbl 0693.34074Khusainov, D. Ya. 1 1989 On exponential stability of linear systems with delay. Zbl 0696.34054Khusainov, D. Ya. 1 1989 Investigation of the stability of linear systems of neutral type by the Lyapunov-function method. Zbl 0674.34077Khusainov, D. Ya.; Yun’kova, E. A. 12 1988 On a method for finding the solution of the Lyapunov equation with a given spectrum. Zbl 0551.34029Khusainov, D. Ya.; Yun’kova, E. A. 2 1984 Some remarks on the extremal Lyapunov function for linear systems. Zbl 0549.34052Komarov, Yu. A.; Khusainov, D. Ya. 2 1983 Estimation of magnitude of retardation in linear differential systems with deviated argument. Zbl 0533.34049Khusainov, D. Ya.; Yun’kova, E. A. 2 1983 Über die Stabilität der Lösungen von Differentialgleichungen mit retardiertem Argument. Zbl 0297.34068Khusainov, D. Ya.; Sharkovskij, A. N. 1 1974 all cited Publications top 5 cited Publications all top 5 Cited by 294 Authors 32 Diblík, Josef 28 Khusainov, Denis Ya. 27 Wang, Jinrong 10 Boĭchuk, Oleksandr Andriĭovych 10 Fečkan, Michal 10 Matveeva, Inessa Izotovna 9 Pospíšil, Michal 7 Baštinec, Jaromír 7 Mahmudov, Nazim Idrisoglu 7 Růžičková, Miroslava 6 Luo, Zijian 6 Martynyuk, Anatoliĭ Andriĭovych 6 Svoboda, Zdeněk 6 You, Zhongli 5 Berezansky, Leonid M. 5 O’Regan, Donal 5 Šmarda, Zdeněk 4 Baranovska, Lesia V. 4 Halfarová, Hana 4 Kipnis, Mikhail Markovich 4 Liang, Chengbin 4 Medina, Rigoberto 4 Medveď, Milan 4 Park, Juhyun (Jessie) 4 Pokojovy, Michael 4 Sedova, N. O. 3 Cao, Dengqing 3 Chernienko, V. A. 3 Demidenko, Gennadiĭ Vladimirovich 3 Dong, Yali 3 He, Ping 3 Hu, Guangda 3 Hu, Guangdi 3 Huseynov, Ismail T. 3 Idels, Lev V. 3 Langerová, Martina 3 Li, Mengmeng 3 Malygina, V. V. 3 Martsenyuk, Vasyl’ P. 3 Rajchakit, Grienggrai 3 Rajchakit, Manlika 3 Sathiyaraj, T. 3 Shen, Dong 3 Sirenko, Andrii S. 3 Zhang, Guobao 3 Zhong, Shou-Ming 2 Agarwal, Ravi P. 2 Ahmadova, Arzu 2 Anikushyn, Andrii 2 Antonovskaya, Olga Georgievna 2 Aouadi, Moncef 2 Čermák, Jan 2 Cheng, Cuiping 2 Cortés López, Juan Carlos 2 Demchenko, Hanna 2 Dorociaková, Božena 2 Dzhalladova, Irada A. 2 Elshenhab, Ahmed M. 2 Gandzyuk, N. M. 2 Huang, Hao 2 Jornet, Marc 2 Liao, Fucheng 2 Lukachova, J. 2 Ma, Zhaohai 2 Martynyuk-Chernienko, Yu. A. 2 Mazanti, Guilherme 2 Morávková, Blanka 2 Moulahi, Taoufik 2 Niamsup, Piyapong 2 Olach, Rudolf 2 Pervaiz, Bakhtawar 2 Šafařík, Jan 2 Shao, Yuanfu 2 Shatyrko, Andriy 2 Škoríková, Jaroslava 2 Škripková, Lucia Pospíšilová 2 Skvortsova, Mariya Aleksandrovna 2 Troib, Liora 2 Wang, Lianglong 2 Wang, Xingtao 2 Wei, Wei 2 Wu, Xin 2 Wu, Zheng 2 Yu, Xiao 2 Yuan, Rong 2 Yun’kova, E. A. 2 Zada, Akbar 2 Zhou, Yong 1 Aguirre-Hernández, Baltazar 1 Aktuglu, Huseyin 1 Altun, Yener 1 Alzabut, Jehad O. 1 An, Ruofan 1 Andreev, Aleksandr Sergeevich 1 Andrushchak, I. Ye. 1 Atamert, Mehmet S. 1 Aydin, Mustafa 1 Azizbayov, Elvin Ibrahim 1 Baráková, Lenka 1 Baštincová, A. ...and 194 more Authors all top 5 Cited in 79 Serials 42 Advances in Difference Equations 19 Applied Mathematics and Computation 16 Abstract and Applied Analysis 12 Applied Mathematics Letters 8 Discrete Dynamics in Nature and Society 7 Journal of Mathematical Analysis and Applications 6 Cybernetics and Systems Analysis 6 International Applied Mechanics 6 Journal of Mathematical Sciences (New York) 4 Journal of the Franklin Institute 4 Ukrainian Mathematical Journal 4 International Journal of Mathematics and Mathematical Sciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Automation and Remote Control 4 Journal of Inequalities and Applications 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 Chaos, Solitons and Fractals 3 Siberian Mathematical Journal 3 Journal of Difference Equations and Applications 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 Differential Equations 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 3 Nonlinear Oscillations 2 International Journal of Systems Science 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Systems & Control Letters 2 Bulletin of the Iranian Mathematical Society 2 Journal of Dynamics and Differential Equations 2 International Journal of Robust and Nonlinear Control 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Problems in Engineering 2 European Journal of Control 2 Lobachevskii Journal of Mathematics 2 Nonlinear Analysis. Modelling and Control 2 Journal of Applied Mathematics and Computing 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Boundary Value Problems 2 Electronic Research Archive 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica Vietnamica 1 Automatica 1 Demonstratio Mathematica 1 Semigroup Forum 1 Tokyo Journal of Mathematics 1 Science in China. Series A 1 Computational Mathematics and Mathematical Physics 1 Journal of Statistical Computation and Simulation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Russian Mathematics 1 Computational and Applied Mathematics 1 Functional Differential Equations 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Journal of Dynamical and Control Systems 1 Journal of High Energy Physics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 ISRN Applied Mathematics 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Journal of Applied Analysis and Computation 1 Palestine Journal of Mathematics 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 25 Fields 141 Ordinary differential equations (34-XX) 83 Systems theory; control (93-XX) 41 Difference and functional equations (39-XX) 25 Partial differential equations (35-XX) 22 Biology and other natural sciences (92-XX) 12 Numerical analysis (65-XX) 9 Probability theory and stochastic processes (60-XX) 8 Real functions (26-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral equations (45-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year