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## Gil’, Michael Iosif

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 Author ID: gil.michael-iosif Published as: Gil’, M. I.; Gil’, Michael; Gil’, Michael I.; Gil, M. I.; Gil, Michael I.; Gil, Michael; Gil’, M.; Gil, M.; Gil’, Michael Iosif; Gil, Michael Iosif; Giľ, Michael I.; Gil’, Mi. External Links: ResearchGate · Math-Net.Ru
 Documents Indexed: 333 Publications since 1972, including 12 Books Reviewing Activity: 199 Reviews
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#### Co-Authors

 287 single-authored 13 Medina, Rigoberto 12 Ailon, Amit 5 Cheng, Sui Sun 4 Shargorodskaya, L. L. 3 Ahn, Byung-Ha 2 Choi, Eun-Seok 2 Kloeden, Peter Eris 2 Sargorodskaja, L. L. 1 Alajaji, Fady 1 Berezansky, Leonid M. 1 Cotela, J. 1 Dadvand, Pooyan 1 Drozdov, Aleksey D. 1 Fridman, Emilia 1 Idelsohn, Sergio Rodolfo 1 Juanpere, E. 1 Kang, Shugui 1 Linder, Tamás 1 Lozano-Leal, Rogelio 1 Lozano, Rogelio 1 Martorell, Xavier 1 Oñate Ibáñez de Navarra, Eugenio 1 Patsuk, V. M. 1 Rossi, Riccardo 1 Tian, Chuanjun 1 Troib, Liora 1 Zhang, Guang
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#### Serials

 8 Journal of Mathematical Analysis and Applications 8 Differentsial’nye Uravneniya 7 Applicable Analysis 7 International Journal of Control 7 Linear Algebra and its Applications 7 Electronic Journal of Differential Equations (EJDE) 6 ELA. The Electronic Journal of Linear Algebra 5 Linear and Multilinear Algebra 5 Acta Scientiarum Mathematicarum 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Rocky Mountain Journal of Mathematics 4 Differential Equations 4 Results in Mathematics 4 Soviet Mathematics 4 Automation and Remote Control 4 Soviet Physics. Doklady 4 Positivity 4 Discrete Dynamics in Nature and Society 4 Applied Mathematics E-Notes 4 Complex Variables and Elliptic Equations 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 3 Mathematical Notes 3 Archiv der Mathematik 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Quaestiones Mathematicae 3 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Circuits, Systems, and Signal Processing 3 Acta Applicandae Mathematicae 3 IMA Journal of Mathematical Control and Information 3 Dynamic Systems and Applications 3 Opuscula Mathematica 3 Mathematical Problems in Engineering 3 Journal of Applied Analysis 3 Functional Differential Equations 3 Mathematical Physics, Analysis and Geometry 3 Communications in Mathematical Analysis 3 Operators and Matrices 3 International Journal of Dynamical Systems and Differential Equations 3 Functional Analysis, Approximation and Computation 3 Nonlinear Analysis. Theory, Methods & Applications 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Automatica 2 Functiones et Approximatio. Commentarii Mathematici 2 IEEE Transactions on Automatic Control 2 Journal of Approximation Theory 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Soviet Mathematics. Doklady 2 Engineering Cybernetics 2 Systems & Control Letters 2 Complex Variables. Theory and Application 2 Annals of Differential Equations 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 International Journal of Robust and Nonlinear Control 2 Methods and Applications of Analysis 2 Journal of Difference Equations and Applications 2 Differential Equations and Dynamical Systems 2 Journal of Inequalities and Applications 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Communications in Contemporary Mathematics 2 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 2 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 2 Journal of the Australian Mathematical Society 2 Analysis and Applications (Singapore) 2 Asian-European Journal of Mathematics 2 Differential Equations and Applications 2 Analysis and Mathematical Physics 2 Journal of Mathematics 2 Nonautonomous Dynamical Systems 1 Computers and Fluids 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Demonstratio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Mathematics of Kyoto University 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Publicationes Mathematicae 1 Quarterly of Applied Mathematics 1 Semigroup Forum 1 Siberian Mathematical Journal 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Analysis 1 Acta Mathematica Hungarica 1 Soviet Journal of Computer and Systems Sciences ...and 63 more Serials
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#### Fields

 128 Operator theory (47-XX) 111 Ordinary differential equations (34-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 52 Systems theory; control (93-XX) 29 Difference and functional equations (39-XX) 24 Partial differential equations (35-XX) 20 Functions of a complex variable (30-XX) 20 Integral equations (45-XX) 13 Functional analysis (46-XX) 7 Numerical analysis (65-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

195 Publications have been cited 688 times in 346 Documents Cited by Year
Operator functions and localization of spectra. Zbl 1032.47001
Gil’, Michael I.
2003
Norm estimations for operator-valued functions and applications. Zbl 0840.47006
Gil’, Michael I.
1995
The freezing method for linear difference equations. Zbl 1005.39005
Gil, M. I.; Medina, Rigoberto
2002
Difference equations in normed spaces. Stability and oscillations. Zbl 1127.39014
Gil’, Michael
2007
Migration of a generic multi-physics framework to HPC environments. Zbl 1426.76644
Dadvand, P.; Rossi, R.; Gil, M.; Martorell, X.; Cotela, J.; Juanpere, E.; Idelsohn, S. R.; Oñate, E.
2013
On global stability of parabolic systems with delay. Zbl 0904.34054
Gil’, M. I.
1998
Stability of neutral functional differential equations. Zbl 1315.34002
Gil’, Michael I.
2014
Estimates for entries of matrix valued functions of infinite matrices. Zbl 1194.47019
Gil’, M. I.
2008
Stability of finite and infinite dimensional systems. Zbl 0916.93002
Gil’, Michael I.
1998
Estimate for the norm of matrix-valued functions. Zbl 0778.15015
Gil’, Michael
1993
Localization and perturbation of zeros of entire functions. Zbl 1195.30003
Gil’, Michael
2010
Stability of a linear integro-differential equation with periodic coefficients. Zbl 0865.34041
Drozdov, Aleksey D.; Gil, Michael I.
1996
Stability of vector differential delay equations. Zbl 1272.34003
Gil’, Michael I.
2013
Invertibility conditions and bounds for spectra of matrix integral operators. Zbl 0949.47026
Gil’, M. I.
2000
Explicit stability conditions for continuous systems. A functional analytic approach. Zbl 1131.93001
Gil’, Michael I.
2005
On Aizerman-Myshkis problem for systems with delay. Zbl 0980.93061
Gil, M. I.
2000
Operator functions and operator equations. Zbl 1422.47004
Gil’, Michael I.
2018
Bounds for the spectrum of analytic quasinormal operator pencils. Zbl 1033.47015
Gil’, M. I.
2003
Ideals of compact operators with the Orlicz norms. Zbl 1352.47019
Gil’, Michael
2013
Identities for sums of powers of roots of entire functions. Zbl 1093.30023
Gil, M. I.
2006
On positive invertibility of matrices. Zbl 0908.15003
Gil’, M. I.
1998
Stability analysis of a rigid robot with output-based controller and time delay. Zbl 0977.93056
Ailon, A.; Gil’, M. I.
2000
On invertibility and positive invertibility of matrices. Zbl 0978.15004
Gil’, M. I.
2001
Lower bounds for eigenvalues of Schatten-von Neumann operators. Zbl 1133.47016
Gil, M. I.
2007
Upper and lower bounds for regularized determinants. Zbl 1162.47019
Gil’, M. I.
2008
Rényi divergence measures for commonly used univariate continuous distributions. Zbl 1384.62017
Gil, M.; Alajaji, F.; Linder, T.
2013
Resolvents of operators on tensor products of Euclidean spaces. Zbl 1345.15005
Gil’, Michael
2016
Nonlinear Volterra difference equations in space $$l^p$$. Zbl 1071.39006
Gil, Michael I.; Medina, Rigoberto
2004
Stability of linear systems governed by second order vector differential equations. Zbl 1088.93014
Gil’, M. I.
2005
Norm estimates for resolvents of non-selfadjoint operators having Hilbert-Schmidt inverse ones. Zbl 1275.47010
Gil’, Michael
2012
Periodic solutions of abstract difference equations. Zbl 0981.39008
Gil’, Michael
2001
Inequalities for zeros of entire functions. Zbl 0998.30028
Gil, M. I.
2001
Stability of linear evolution equations in lattice normed spaces. Zbl 0955.34044
Gil’, M. I.
1996
Point-to-point regulation of the robot with flexible joints including electrical effects of actuator dynamics. Zbl 0876.93067
Ailon, Amit; Lozano-Leal, Rogelio; Gil, Michael
1997
Bounds for eigenvalues of Schatten-von Neumann operators via self-commutators. Zbl 1359.47016
Gil’, Michael
2014
Spectrum and resolvent of a partial integral operator. Zbl 1154.47041
Gil’, M. I.
2008
Periodic solutions of a perturbed difference equation. Zbl 1020.39001
Gil’, Michael I.; Cheng, Sui Sun
2000
Stability of linear systems with time-varying delays: a direct frequency domain approach. Zbl 1134.93034
Fridman, Emilia; Gil’, Michael
2007
The freezing method for abstract nonlinear difference equations. Zbl 1115.39010
Medina, Rigoberto; Gil’, M. I.
2007
A bound for condition numbers of matrices. Zbl 1321.15038
Gil’, Michael I.
2014
Positive solutions of equations with nonlinear causal mappings. Zbl 1136.34064
Gil’, Michael I.
2007
On inequalities for zeros of entire functions. Zbl 1052.30031
Gil’, M. I.
2005
On inequalities for eigenvalues of matrices. Zbl 0773.15007
Gil’, Michael I.
1993
Perturbations of zeros of a class of entire functions. Zbl 1021.30024
Gil’, M. I.
2000
Integrally small perturbations of semigroups and stability of partial differential equations. Zbl 1304.35090
Gil’, Michael
2013
Inequalities of the Carleman type for Schatten–von Neumann operators. Zbl 1158.47014
Gil’, M. I.
2008
Boundedness of solutions of nonlinear differential delay equations with positive Green functions and the Aizerman-Myshkis problem. Zbl 1014.34063
Gil’, M. I.
2002
Invertibility and positive invertibility of integral operators in $$L^\infty$$. Zbl 0987.47040
Gil’, M. I.
2001
Solution estimates for semilinear difference-delay equations with continuous time. Zbl 1153.39013
Gil’, Michael; Cheng, Sui Sun
2007
Semigroups of sums of two operators with small commutators. Zbl 07036264
Gil’, Michael
2019
On stability of linear barbashin type integrodifferential equations. Zbl 1394.35536
Gil’, Michael
2015
Invertibility and spectrum of Hille-Tamarkin matrices. Zbl 1033.47004
Gil’, M. I.
2002
On bounds for spectra of operator pencils in a Hilbert space. Zbl 1034.47004
Gil’, Michael Iosif
2003
Positive periodic solutions of abstract difference equations. Zbl 1074.39007
Gil’, Michael I.; Kang, Shugui; Zhang, Guang
2004
Solvability of a system of stationary Boussinesq equations. Zbl 0789.76082
Gil’, M. I.
1991
Perturbations of operator functions in a Hilbert space. Zbl 1282.47015
Gil’, Michael
2012
On generalized Wazewski and Lozinskii inequalities for semilinear abstract differential-delay equations. Zbl 1020.34069
Gil’, M. I.
1998
Stability of Fredholm type integro-parabolic equations. Zbl 0979.45007
Gil’, M. I.
2000
Invertibility conditions for block matrices and estimates for norms of inverse matrices. Zbl 1058.15003
Gil’, M. I.
2003
Stability of a time discrete perturbed dynamical systems with delay. Zbl 0966.39009
Gil, Michael I.; Cheng, Sui Sun
1999
Approximations of zeros of entire functions by zeros of polynomials. Zbl 0963.41007
Gil’, M. I.
2000
Freezing method for evolution equations. Zbl 0889.35043
Gil’, M. I.
1997
$$L^2$$-absolute and input-to-state stabilities of equations with nonlinear causal mappings. Zbl 1188.34096
Gil’, M. I.
2009
On absolute stability of differential-delay systems. Zbl 0811.93051
Gil, M. I.
1994
Bounds for characteristic values of entire matrix pencils. Zbl 1065.15013
Gil, M. I.
2004
Invertibility and spectrum localization of non-self-adjoint operators. Zbl 1023.47002
Gil’, M. I.
2001
Solution estimates for abstract nonlinear time-variant differential-delay equations. Zbl 1009.34071
Gil’, M. I.
2002
Regular functions of operators on tensor products of Hilbert spaces. Zbl 1094.47022
Gil’, M. I.
2006
Bounds for zeros of entire functions. Zbl 1135.30015
Gil’, M. I.
2007
Sums of characteristic values of compact polynomial operator pencils. Zbl 1137.47013
Gil’, M. I.
2008
Explicit stability conditions for a class of semilinear retarded systems. Zbl 1133.93360
Gil, M. I.
2007
Perturbations of functions of diagonalizable matrices. Zbl 1207.15020
Gil, Michael I.
2010
Bounds for zeros of solutions of second order differential equations with polynomial coefficients. Zbl 1221.34234
Gil’, M. I.
2011
Norm estimates for functions of two non-commuting matrices. Zbl 1223.15030
Gil, Michael
2011
Conservation of the number of eigenvalues of finite dimensional and compact operators inside and outside circle. Zbl 1392.15017
Gil’, Michael
2018
Sums of zeros of solutions to second order ODE with non-polynomial coefficients. Zbl 1260.34162
Gil’, Michael I.
2012
Bounds for the spectrum of a two parameter matrix eigenvalue problem. Zbl 1334.15029
Gil’, Michael
2016
Exponential stability of nonlinear neutral type systems. Zbl 1270.93095
Gil’, Michael
2012
On the representation of the resolvent of a nonselfadjoint operator by integrals with respect to a spectral function. Zbl 0294.47006
Gil’, M. I.
1973
On sums of roots of infinite order entire functions. Zbl 1067.30053
Gil, M. I.
2005
Stability of abstract nonlinear nonautonomous differential–delay equations with unbounded history-responsive operators. Zbl 1080.34062
Gil’, M. I.
2005
The Aizerman-Myshkis problem for functional-differential equations with causal nonlinearities. Zbl 1084.34063
Gil’, M.
2005
Positive solutions of nonautonomous linear higher order difference equations. Zbl 1080.39010
Gil’, M. I.
2005
On variations of characteristic values of entire matrix pencils. Zbl 1080.15009
Gil’, M. I.
2005
Perturbations of functions of operators in a Banach space. Zbl 1198.47024
Gil’, Michael I.
2010
A bound for functions defined on a normed space. Zbl 1119.46025
Gil’, M. I.
2007
Bounds for counting functions of finite order entire functions. Zbl 1121.30003
Gil, M. I.
2007
Meromorphic functions of matrix arguments and applications. Zbl 1184.15019
Gil’, M. I.
2009
Integrally small perturbations of linear nonautonomous systems. Zbl 1242.93112
Gil’, M. I.
2012
Matrix functions nonregular on the convex hull of the spectrum. Zbl 1258.15006
Gil’, Michael
2012
The $$L^{p}$$-version of the generalised Bohl-Perron principle for vector equations with delay. Zbl 1242.34120
Gil’, Michael I.
2011
Perturbations of regularized determinants of operators in a Banach space. Zbl 1287.47022
Gil, Michael
2013
Equalities for roots of entire functions of order less than two. Zbl 1090.30030
Gil’, M. I.
2006
On the determination of the domain of exponential stability of systems of differential equations. Zbl 0526.34039
Gil’, M. I.
1983
Perturbations of simple eigenvectors of linear operators. Zbl 0941.47012
Gil’, M. I.
1999
The “freezing” method for nonlinear equations. Zbl 0714.34050
Gil’, M. I.
1989
Generalized Aizerman-Myshkis problem for abstract differential-delay equations. Zbl 1056.34084
Gil’, M. I.
2003
Solution estimates of nonlinear vector Volterra-Stieltjes equations. Zbl 1048.45003
Gil’, M. I.; Kloeden, P. E.
2003
Invertibility and spectra of operators on tensor products of Hilbert spaces. Zbl 1068.47004
Gil’, M. I.
2004
Class of absolutely stable multivariable systems. Zbl 0819.93059
Gil’, Michael I.
1994
Norm estimates for a semigroup generated by the sum of two operators with an unbounded commutator. Zbl 1435.47049
Gil&rsquo;, Michael
2020
Stability of linear equations with differentiable operators in a Hilbert space. Zbl 1436.93115
Gil&rsquo;, Michael
2020
On angular localization of spectra of perturbed operators. Zbl 07309330
Gil&rsquo;, Mi.
2020
Semigroups of sums of two operators with small commutators. Zbl 07036264
Gil&rsquo;, Michael
2019
Norm estimates for resolvents of linear operators in a Banach space and spectral variations. Zbl 06946446
Gil&rsquo;, Michael
2019
Solution estimates for the discrete Lyapunov equation in a Hilbert space and applications to difference equations. Zbl 1437.47006
Gil&rsquo;, Michael
2019
A norm estimate for evolution operators of equations with the Lipschitz property in a Banach space. Zbl 1422.34178
Gil&rsquo;, Michael
2019
Operator functions and operator equations. Zbl 1422.47004
Gil&rsquo;, Michael I.
2018
Conservation of the number of eigenvalues of finite dimensional and compact operators inside and outside circle. Zbl 1392.15017
Gil&rsquo;, Michael
2018
Stability of evolution equations with small commutators in a Banach space. Zbl 07032412
Gil&rsquo;, Michael
2018
Estimates for solutions of differential equations in a Banach space via commutators. Zbl 1390.34187
Gil&rsquo;, Michael
2018
On similarity of unbounded perturbations of selfadjoint operators. Zbl 1413.47028
Gil&rsquo;, Michael
2018
Norm estimates for function Lyapunov equations and applications. Zbl 1390.93342
Gil&rsquo;, Michael
2018
A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators. Zbl 1367.47042
Gil&rsquo;, Michael
2017
Bounds for determinants of linear operators and their applications. Zbl 1447.47008
Gil&rsquo;, Michael
2017
Discrete spectra of compactly perturbed bounded operators. Zbl 1356.47026
Gil&rsquo;, Michael
2017
Resolvents of operators on tensor products of Euclidean spaces. Zbl 1345.15005
Gil&rsquo;, Michael
2016
Bounds for the spectrum of a two parameter matrix eigenvalue problem. Zbl 1334.15029
Gil&rsquo;, Michael
2016
Inequalities for eigenvalues of compact operators in a Hilbert space. Zbl 1336.47022
Gil&rsquo;, Michael
2016
An inequality for similarity condition numbers of unbounded operators with Schatten-von Neumann Hermitian components. Zbl 1465.47015
Gil&rsquo;, Michael
2016
Kronecker’s products and Kronecker’s sums of operators. Zbl 1440.47017
Gil&rsquo;, Michael
2016
Stability and boundedness of solutions to nonautonomous parabolic integrodifferential equations. Zbl 1400.35156
Gil&rsquo;, Michael
2016
Inequalities for zeros of solutions to second order ODE with one singular point. Zbl 1335.34140
Gil&rsquo;, Michael
2016
On stability of linear barbashin type integrodifferential equations. Zbl 1394.35536
Gil&rsquo;, Michael
2015
Sums of zeros of solutions to non-homogeneous ODE with polynomial coefficients. Zbl 1375.34123
Gil&rsquo;, Michael
2015
On condition numbers of spectral operators in a Hilbert space. Zbl 1330.47042
Gil&rsquo;, Michael
2015
Stability of linear nonautonomous multivariable systems with differentiable matrices. Zbl 1330.34080
Gil&rsquo;, Michael
2015
Norm estimates for functions of two non-commuting operators. Zbl 1339.47019
Gil&rsquo;, Michael
2015
Norm estimates for solutions of polynomial operator equations. Zbl 07132172
Gil&rsquo;, Michael
2015
Bounds for products of zeros of solutions to nonhomogeneous ODE with polynomial coefficients. Zbl 1339.34094
Gil&rsquo;, Michael
2015
Stability of neutral functional differential equations. Zbl 1315.34002
Gil&rsquo;, Michael I.
2014
Bounds for eigenvalues of Schatten-von Neumann operators via self-commutators. Zbl 1359.47016
Gil&rsquo;, Michael
2014
A bound for condition numbers of matrices. Zbl 1321.15038
Gil&rsquo;, Michael I.
2014
Resolvents of operators inverse to Schatten-von Neumann ones. Zbl 1310.47004
Gil&rsquo;, M.
2014
A bound for similarity condition numbers of unbounded operators with Hilbert-Schmidt Hermitian components. Zbl 1320.47004
Gil&rsquo;, Michael
2014
Spectral approximations of unbounded operators of the type “normal plus compact”. Zbl 1314.47029
Gil&rsquo;, Michael
2014
Norm estimates for solutions of matrix equations $$AX-XB=C$$ and $$X-AXB=C$$. Zbl 1312.15018
Gil, Michael I.
2014
A norm estimate for holomorphic operator functions in an ordered Banach space. Zbl 1340.47032
Gil&rsquo;, Michael
2014
Explicit stability conditions for neutral type vector functional differential equations. A survey. Zbl 1399.34001
Gil&rsquo;, M. I.
2014
Migration of a generic multi-physics framework to HPC environments. Zbl 1426.76644
Dadvand, P.; Rossi, R.; Gil, M.; Martorell, X.; Cotela, J.; Juanpere, E.; Idelsohn, S. R.; Oñate, E.
2013
Stability of vector differential delay equations. Zbl 1272.34003
Gil&rsquo;, Michael I.
2013
Ideals of compact operators with the Orlicz norms. Zbl 1352.47019
Gil&rsquo;, Michael
2013
Rényi divergence measures for commonly used univariate continuous distributions. Zbl 1384.62017
Gil, M.; Alajaji, F.; Linder, T.
2013
Integrally small perturbations of semigroups and stability of partial differential equations. Zbl 1304.35090
Gil&rsquo;, Michael
2013
Perturbations of regularized determinants of operators in a Banach space. Zbl 1287.47022
Gil, Michael
2013
Generalized Bohl-Perron principle for differential equations with delay in a Banach spaces. Zbl 1288.34071
Gil&rsquo;, Michael
2013
Spectral approximations of unbounded nonselfadjoint operators. Zbl 1276.47025
Gil&rsquo;, Michael
2013
The generalized Bohl-Perron principle for the neutral type vector functional differential equations. Zbl 1278.34082
Gil&rsquo;, Michael
2013
A new identity for resolvents of operators. Zbl 1268.47022
Gil&rsquo;, Michael
2013
Perturbations of polynomials with operator coefficients. Zbl 1344.47010
Gil&rsquo;, Michael
2013
Estimates for functions of finite and infinite matrices. Perturbations of matrix functions. Zbl 06269020
Gil, Michael
2013
Matrix equations with diagonalizable coefficients. Zbl 1389.15032
Gil, Michael
2013
Inequalities for regularized determinants of operators with the Nakano type modulars. Zbl 1352.47020
Gil&rsquo;, Michael
2013
Norm estimates for resolvents of non-selfadjoint operators having Hilbert-Schmidt inverse ones. Zbl 1275.47010
Gil&rsquo;, Michael
2012
Perturbations of operator functions in a Hilbert space. Zbl 1282.47015
Gil&rsquo;, Michael
2012
Sums of zeros of solutions to second order ODE with non-polynomial coefficients. Zbl 1260.34162
Gil&rsquo;, Michael I.
2012
Exponential stability of nonlinear neutral type systems. Zbl 1270.93095
Gil&rsquo;, Michael
2012
Integrally small perturbations of linear nonautonomous systems. Zbl 1242.93112
Gil&rsquo;, M. I.
2012
Matrix functions nonregular on the convex hull of the spectrum. Zbl 1258.15006
Gil&rsquo;, Michael
2012
Norm estimates for fundamental solutions of neutral type functional differential equations. Zbl 1263.34114
Gil&rsquo;, Michael
2012
Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space. Zbl 1270.34167
Gil&rsquo;, Michael
2012
Perturbations of zeros of solutions to second order differential equations with polynomial coefficients. Zbl 1274.34258
Gil&rsquo;, Michael
2012
Perturbations of the matrix logarithm. Zbl 1276.15013
Gil&rsquo;, Michael I.
2012
Inequalities for products of zeros of polynomials and entire functions. Zbl 1251.26012
Gil&rsquo;, M. I.
2012
Bounds for zeros of solutions of second order differential equations with polynomial coefficients. Zbl 1221.34234
Gil&rsquo;, M. I.
2011
Norm estimates for functions of two non-commuting matrices. Zbl 1223.15030
Gil, Michael
2011
The $$L^{p}$$-version of the generalised Bohl-Perron principle for vector equations with delay. Zbl 1242.34120
Gil&rsquo;, Michael I.
2011
Stability of functional differential equations with oscillating coefficients and distributed delays. Zbl 1211.34085
Gil&rsquo;, Michael I.
2011
Bounds for the spectrum of a matrix differential operator with a damping term. Zbl 1230.34072
Gil&rsquo;, M. I.
2011
Localization and perturbation of zeros of entire functions. Zbl 1195.30003
Gil&rsquo;, Michael
2010
Perturbations of functions of diagonalizable matrices. Zbl 1207.15020
Gil, Michael I.
2010
Perturbations of functions of operators in a Banach space. Zbl 1198.47024
Gil&rsquo;, Michael I.
2010
Estimates for functions of two commuting infinite matrices and applications. Zbl 1205.15028
Gil&rsquo;, M. I.
2010
Sums of real parts of eigenvalues of perturbed matrices. Zbl 1213.15016
Gil&rsquo;, M. I.
2010
Stability of delay differential equations with oscillating coefficients. Zbl 1200.34083
Gil&rsquo;, Michael I.
2010
Norm estimates for functions of matrices with simple spectrum. Zbl 1205.15038
Gil&rsquo;, Michael I.
2010
$$L^2$$-absolute and input-to-state stabilities of equations with nonlinear causal mappings. Zbl 1188.34096
Gil&rsquo;, M. I.
2009
Meromorphic functions of matrix arguments and applications. Zbl 1184.15019
Gil&rsquo;, M. I.
2009
A transform of finite order entire functions and perturbations of zeros. Zbl 1171.30007
Gil, M. I.
2009
Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators. Zbl 1151.47003
Gil&rsquo;, M. I.
2009
Spectrum and functions of operators on direct families of Banach spaces. Zbl 1256.47004
Gil&rsquo;, M. I.
2009
Estimates for entries of matrix valued functions of infinite matrices. Zbl 1194.47019
Gil&rsquo;, M. I.
2008
Upper and lower bounds for regularized determinants. Zbl 1162.47019
Gil&rsquo;, M. I.
2008
Spectrum and resolvent of a partial integral operator. Zbl 1154.47041
Gil&rsquo;, M. I.
2008
Inequalities of the Carleman type for Schatten–von Neumann operators. Zbl 1158.47014
Gil&rsquo;, M. I.
2008
Sums of characteristic values of compact polynomial operator pencils. Zbl 1137.47013
Gil&rsquo;, M. I.
2008
$$L^2$$-stability of vector equations with nonlinear causal mappings. Zbl 1162.34059
Gil, M. I.
2008
The freezing method for Volterra integral equations in a Banach space. Zbl 1178.45014
Gil&rsquo;, M. I.
2008
Liapunov exponents for higher-order linear differential equations whose characteristic equations have variable real roots. Zbl 1170.34340
Gil&rsquo;, Michael I.
2008
Positivity of the Green functions for higher order ordinary differential equations. Zbl 1172.34321
Gil&rsquo;, Michael I.
2008
Norm estimates for functions of two operators on tensor products of Hilbert spaces. Zbl 1154.47011
Gil&rsquo;, M. I.
2008
Perturbations of operators on tensor products and spectrum localization of matrix differential operators. Zbl 1223.47017
Gil&rsquo;, M. I.
2008
Difference equations in normed spaces. Stability and oscillations. Zbl 1127.39014
Gil&rsquo;, Michael
2007
Lower bounds for eigenvalues of Schatten-von Neumann operators. Zbl 1133.47016
Gil, M. I.
2007
Stability of linear systems with time-varying delays: a direct frequency domain approach. Zbl 1134.93034
Fridman, Emilia; Gil&rsquo;, Michael
2007
The freezing method for abstract nonlinear difference equations. Zbl 1115.39010
Medina, Rigoberto; Gil&rsquo;, M. I.
2007
Positive solutions of equations with nonlinear causal mappings. Zbl 1136.34064
Gil&rsquo;, Michael I.
2007
Solution estimates for semilinear difference-delay equations with continuous time. Zbl 1153.39013
Gil&rsquo;, Michael; Cheng, Sui Sun
2007
Bounds for zeros of entire functions. Zbl 1135.30015
Gil&rsquo;, M. I.
2007
Explicit stability conditions for a class of semilinear retarded systems. Zbl 1133.93360
Gil, M. I.
2007
...and 95 more Documents
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#### Cited by 316 Authors

 131 Gil’, Michael Iosif 21 Medina, Rigoberto 14 Berezansky, Leonid M. 12 Rossi, Riccardo 8 Braverman, Elena 5 Kurbatov, Vitaliĭ Gennad’evich 5 Matveeva, Inessa Izotovna 4 Ammari, Habib M. 4 Anghel, Nicolae 4 Fridman, Emilia 4 Hansmann, Marcel 4 Kurbatova, Irina Vital’evna 4 Oñate Ibáñez de Navarra, Eugenio 4 Sivakumar, Koratti Chengalrayan 3 Agarwal, Ravi P. 3 Ailon, Amit 3 Cheng, Sui Sun 3 Diblík, Josef 3 Gyori, Istvan 3 Horváth, László 3 Idels, Lev V. 3 Khatri, Kejal 3 Mishra, Vishnu Narayan 3 O’Regan, Donal 3 Pham Huu Anh Ngoc 3 Popa, Dorian 3 Wang, Wansheng 3 Zorrilla, R. 2 Baias, Alina-Ramona 2 Bandtlow, Oscar F. 2 Camata, Guido 2 Cao, Hui 2 Cervera, Miguel 2 Chaillet, Antoine 2 Chiumenti, Michele 2 Choi, Ho-Lim 2 Czornik, Adam 2 Damak, Hanen 2 Deepmala, Vandana 2 Deng, Youjun 2 Domoshnitsky, Alexander I. 2 González, Cristóbal 2 Hammami, Mohamed Ali 2 Hammer, Jacob 2 Idelsohn, Sergio Rodolfo 2 Jiménez-Melado, Antonio 2 Kamran, Kazem 2 Kloeden, Peter Eris 2 Kressner, Daniel 2 Kumar Pandey, Pramod 2 Kurmayya, Tamminana 2 Lafontaine, N. M. 2 Li, Shoufu 2 Litsyn, Elena 2 Loria, Antonio 2 Lupulescu, Vasile 2 Megan, Mihail 2 Melchor-Aguilar, Daniel 2 Millien, Pierre 2 Mishra, Lakshmi Narayan 2 Nawrat, Aleksander Michał 2 Oller, Sergio 2 Pela’, Luca 2 Petracca, Massimo 2 Schmeidel, Ewa L. 2 Shen, Jianhua 2 Šmarda, Zdeněk 2 Spacone, Enrico 2 Trinh, Hieu Minh 2 Troib, Liora 2 Wang, Weibing 2 Wei, Junjie 2 Wu, Jianhong 2 Yskak, Timur Kaĭratuly 2 Zhang, Junfeng 2 Zhang, Ruyuan 2 Zhao, Xudong 2 Zhou, Yicang 1 Abd-Elmageed, H. 1 Abdeljawad, Thabet 1 Abul-ez, M. A. 1 Acevedo, Paul 1 Ahn, Byung-Ha 1 Alzabut, Jehad O. 1 Amela, Ramon 1 Ammar-Khodja, Farid 1 Amrouche, Chérif 1 Amster, Pablo 1 Araya, Daniela 1 Ashyralyev, Allaberen 1 Assari, Pouria 1 Badia, Rosa Maria 1 Baiges, Joan 1 Baklouti, Hamadi 1 Baštinec, Jaromír 1 Beckermann, Bernhard 1 Benabdallah, Assia 1 Benzi, Michele 1 Bhasin, Shubhendu 1 Bian, Xin ...and 216 more Authors
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#### Cited in 143 Serials

 18 Journal of Mathematical Analysis and Applications 15 Linear Algebra and its Applications 10 Automatica 9 Advances in Difference Equations 8 Applicable Analysis 7 International Journal of Control 7 International Journal of Robust and Nonlinear Control 7 Journal of Difference Equations and Applications 7 Abstract and Applied Analysis 6 Computer Methods in Applied Mechanics and Engineering 6 Applied Mathematics and Computation 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Results in Mathematics 6 Systems & Control Letters 5 Computers & Mathematics with Applications 5 Rocky Mountain Journal of Mathematics 5 Computational Mechanics 5 Applied Mathematics Letters 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Journal of the Franklin Institute 4 Mathematische Nachrichten 4 Mathematical and Computer Modelling 4 Positivity 4 Lobachevskii Journal of Mathematics 4 Complex Variables and Elliptic Equations 3 Linear and Multilinear Algebra 3 Ukrainian Mathematical Journal 3 International Journal of Mathematics and Mathematical Sciences 3 Proceedings of the American Mathematical Society 3 Siberian Mathematical Journal 3 European Journal of Control 3 Discrete Dynamics in Nature and Society 3 Operators and Matrices 3 Nonautonomous Dynamical Systems 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Journal of Econometrics 2 Journal of Functional Analysis 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Semigroup Forum 2 SIAM Journal on Control and Optimization 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Opuscula Mathematica 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Mathematical Physics, Analysis and Geometry 2 Journal of Inequalities and Applications 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Journal of Dynamical and Control Systems 2 Communications in Contemporary Mathematics 2 Differential Equations 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis and Applications (Singapore) 2 Mediterranean Journal of Mathematics 2 Complex Analysis and Operator Theory 2 SIAM Journal on Imaging Sciences 2 Asian-European Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Functional Analysis, Approximation and Computation 2 Analysis and Mathematical Physics 2 Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 2 Advances in Operator Theory 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physics Letters. A 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Integral Equations and Operator Theory 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Extracta Mathematicae 1 Revista Matemática Iberoamericana 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 International Journal of Adaptive Control and Signal Processing 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences ...and 43 more Serials
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#### Cited in 33 Fields

 101 Operator theory (47-XX) 87 Ordinary differential equations (34-XX) 59 Systems theory; control (93-XX) 54 Difference and functional equations (39-XX) 40 Linear and multilinear algebra; matrix theory (15-XX) 34 Partial differential equations (35-XX) 31 Numerical analysis (65-XX) 23 Integral equations (45-XX) 18 Functions of a complex variable (30-XX) 11 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 11 Biology and other natural sciences (92-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Functional analysis (46-XX) 6 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Quantum theory (81-XX) 4 Special functions (33-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Potential theory (31-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Sequences, series, summability (40-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)