## Gyori, Istvan

Compute Distance To:
 Author ID: gyori.istvan Published as: Györi, I.; Győri, István; Györi, István; Győri, I.; Györi, Istvan; Gyori, István; Gyoeri, Istvan; Gyoeri, I.; Gyori, Istvan; Győri, Istvan; Gyōri, István; Györí, István; Győri, Istvàn; Győry, István; Gyori, I.; Györi, I more...less External Links: MGP · Wikidata · IdRef
 Documents Indexed: 153 Publications since 1971, including 1 Book 2 Contributions as Editor Co-Authors: 50 Co-Authors with 121 Joint Publications 1,211 Co-Co-Authors
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### Co-Authors

 34 single-authored 23 Hartung, Ferenc 18 Horváth, László 16 Pituk, Mihály 11 Ladas, Gerasimos E. 10 Reynolds, David W. 9 Arino, Ovide 6 Turi, Janos 5 Appleby, John A. D. 4 Eller, József 4 Mohamady, Nahed A. 3 Awwad, Essam 3 Bereketoglu, Huseyin 3 Greenhalgh, David 3 Lalli, Bikkar S. 3 Pakula, Lewis 3 Thandapani, Ethiraju 3 Trofimchuk, Sergei I. 2 Elaydi, Saber Nasr 2 Kovácsvölgyi, István 2 Krasznai, Beáta 2 Krizsa, Ferenc 2 Stavroulakis, Ioannis P. 1 Čermák, Jan 1 Chatzarakis, George E. 1 Cooke, Kenneth L. 1 Dãng Vũ Giang 1 Desch, Wolfgang 1 Federson, Márcia 1 Ferreira, José Manuel 1 Gopalsamy, Kondalsamy 1 Grace, Said Rezk 1 Grove, Edward Andrew 1 Jawhari, A. 1 Karakoç, Fatma 1 Karakostas, George L. 1 Krisztin, Tibor 1 Leith, John T. 1 Mesquita, Jaqueline Godoy 1 Michelson, Seth 1 Nakata, Yukihiko 1 Nechvátal, Luděk 1 Péics, Hajnalka 1 Pertsev, Nikolaĭ Viktorovich 1 Pongor, Gábor 1 Röst, Gergely 1 Táboas, Plácido Zoega 1 Vlahos, P. N. 1 Wu, Jianhong 1 Zoellei, Magdolna 1 Zöllei, M.
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### Serials

 13 Journal of Mathematical Analysis and Applications 11 Computers & Mathematics with Applications 9 Journal of Difference Equations and Applications 6 Applied Mathematics and Computation 6 Electronic Journal of Qualitative Theory of Differential Equations 5 Differential and Integral Equations 5 Nonlinear Analysis. Theory, Methods & Applications 4 Mathematical and Computer Modelling 4 Dynamic Systems and Applications 4 Differential Equations and Dynamical Systems 4 Advances in Difference Equations 3 Journal of Differential Equations 3 Studia Scientiarum Mathematicarum Hungarica 3 Applied Mathematics Letters 3 Discrete and Continuous Dynamical Systems 3 Functional Differential Equations 2 Applicable Analysis 2 Periodica Mathematica Hungarica 2 Canadian Mathematical Bulletin 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Dynamics and Differential Equations 2 Journal of Inequalities and Applications 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical and Physical Sciences 1 Mathematical Biosciences 1 Bulletin of Mathematical Biology 1 Acta Scientiarum Mathematicarum 1 Fasciculi Mathematici 1 Funkcialaj Ekvacioj. Serio Internacia 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Soviet Mathematics. Doklady 1 Note di Matematica 1 Chinese Annals of Mathematics. Series B 1 Mathematical Modelling 1 Radovi Matematički 1 Journal of Integral Equations and Applications 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Systems Science 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Abstract and Applied Analysis 1 Positivity 1 Fractional Calculus & Applied Analysis 1 Nonlinear Functional Analysis and Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Miskolc Mathematical Notes 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 Oxford Mathematical Monographs
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### Fields

 96 Ordinary differential equations (34-XX) 38 Difference and functional equations (39-XX) 31 Biology and other natural sciences (92-XX) 19 Integral equations (45-XX) 13 Numerical analysis (65-XX) 8 Real functions (26-XX) 6 Partial differential equations (35-XX) 5 Systems theory; control (93-XX) 4 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

125 Publications have been cited 1,917 times in 1,471 Documents Cited by Year
Oscillation theory of delay differential equations: with applications. Zbl 0780.34048
1991
On explicit stability conditions for a linear fractional difference system. Zbl 1320.39004
Čermák, Jan; Gyori, István; Nechvátal, Ludĕk
2015
Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay. Zbl 0880.34072
Bereketoglu, H.; Györi, I.
1997
Oscillation criteria in delay equations. Zbl 0547.34060
Arino, O.; Györi, I.; Jawhari, A.
1984
Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments. Zbl 0809.65074
Cooke, K. L.; Györi, I.
1994
Global attractivity in $$x'(t)=-\delta x(t)+pf(x(t-\tau))$$. Zbl 0965.34064
Győri, István; Trofimchuk, Sergei I.
1999
Connections between compartmental systems with pipes and integro- differential equations. Zbl 0606.92006
Györi, István
1986
On exact convergence rates for solutions of linear systems of Volterra difference equations. Zbl 1119.39003
Appleby, John A. D.; Győri, István; Reynolds, David W.
2006
On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation. Zbl 1007.34063
Győri, Istvàn; Trofimchuk, Sergei I.
2002
Linearized oscillations for equations with piecewise constant arguments. Zbl 0723.34058
1989
An application of discrete inequality to second order nonlinear oscillation. Zbl 0823.39004
Thandapani, E.; Györi, I.; Lalli, B. S.
1994
Necessary and sufficient condition for oscillation of a neutral differential system with several delays. Zbl 0691.34054
Arino, O.; Györi, I.
1989
Comparison theorems and asymptotic equilibrium for delay differential and difference equations. Zbl 0859.34053
Györi, I.; Pituk, M.
1996
On approximation of the solutions of delay differential equations by using piecewise constant arguments. Zbl 0714.34100
Györi, Istvan
1991
Stability in delay perturbed differential and difference equations. Zbl 0990.34066
Győri, István; Hartung, Ferenc
2001
Fundamental solution and asymptotic stability of linear delay differential equations. Zbl 1099.34067
Győri, István; Hartung, Ferenc
2006
Asymptotic formulae for the solutions of a linear delay difference equation. Zbl 0846.39003
Györi, I.; Pituk, M.
1995
Global attractivity in a delay difference equation. Zbl 0763.39001
Györi, I.; Ladas, G.; Vlahos, P. N.
1991
Global attractivity and persistence in a discrete population model. Zbl 0977.39005
Győri, I.; Trofimchuk, S. I.
2000
Compartmental systems with pipes. Zbl 0488.92001
Gyoeri, I.; Eller, J.
1981
Asymptotic theory for delay difference equations. Zbl 0853.39004
Elaydi, S.; Györi, I.
1995
Exponential stability of a state-dependent delay system. Zbl 1144.34051
Györi, István; Hartung, Ferenc
2007
Numerical approximations for a class of differential equations with time- and state-dependent delays. Zbl 0840.65069
Györi, I.; Hartung, F.; Turi, J.
1995
Preservation of stability in delay equations under delay perturbations. Zbl 0914.34070
Győri, István; Hartung, Ferenc; Turi, Janos
1998
$$L^ 2$$-perturbation of a linear delay differential equation. Zbl 0853.34070
Györi, I.; Pituk, M.
1995
Stability criteria for linear delay differential equations. Zbl 0894.34064
Györi, I.; Pituk, M.
1997
On numerical approximation using differential equations with piecewise-constant arguments. Zbl 1164.34038
Győri, István; Hartung, Ferenc
2008
Asymptotic representation of the solutions of linear Volterra difference equations. Zbl 1146.39011
Győri, István; Horváth, László
2008
Asymptotic constancy in linear difference equations: limit formulae and sharp conditions. Zbl 1191.39001
Győri, István; Horváth, László
2010
Sharp conditions for existence of nontrivial invariant cones of nonnegative initial values of difference equations. Zbl 0715.39001
Györi, Istvan
1990
Interaction between oscillations and global asymptotic stability in delay differential equations. Zbl 0726.34054
Györi, Istvan
1990
A neutral equation arising from compartmental systems with pipes. Zbl 0729.34061
Györi, István; Wu, J.
1991
On exact rates of decay of solutions of linear systems of Volterra equations with delay. Zbl 1148.45003
Appleby, John A. D.; Győri, István; Reynolds, David W.
2006
Necessary and sufficient conditions for the oscillations of a multiplicative delay logistic equation. Zbl 0837.34073
Grace, S. R.; Györi, I.; Lalli, B. S.
1995
A new approach to the global asymptotic stability problem in a delay Lotka-Volterra differential equation. Zbl 1042.34571
Györi, I.
2000
Conditions for oscillation of difference equations with applications to equations with piecewise constant arguments. Zbl 0734.39003
Györi, I.; Ladas, G.; Pakula, L.
1991
Oscillatory behavior in linear retarded functional differential equations. Zbl 0653.34047
Ferreira, José M.; Györi, I.
1987
Two approximation techniques for functional differential equations. Zbl 0656.65073
Györi, I.
1988
Asymptotically diagonal delay differential systems. Zbl 0876.34078
Arino, O.; Györi, I.; Pituk, M.
1996
On the oscillatory behaviour of solutions of certain nonlinear and linear delay differential equations. Zbl 0557.34060
Györi, István
1984
Asymptotic integration of delay differential systems. Zbl 0681.34067
Arino, O.; Györi, I.
1989
On asymptotically periodic solutions of linear discrete Volterra equations. Zbl 1210.39009
Győri, István; Reynolds, David W.
2010
On admissibility of the resolvent of discrete Volterra equations. Zbl 1215.39005
Győri, István; Reynolds, David W.
2010
The converse of the theorem on stability by the first approximation for difference equations. Zbl 1042.39513
Györi, István; Pituk, Mihály
2001
Modelling thrombopoiesis regulation. I: Model description and simulation results. Zbl 0645.92005
Eller, J.; Györi, I.; Zöllei, M.; Krizsa, F.
1987
Convergence of solutions of a linear impulsive differential equations system with many delays. Zbl 1227.34077
Győri, Istvan; Karakoç, Fatma; Bereketoğlu, Hüseyin
2011
Preservation of stability in a linear neutral differential equation under delay perturbations. Zbl 0994.34065
Győri, István; Hartung, Ferenc
2001
Positive solutions of integro-differential equations with unbounded delay. Zbl 0761.45009
1992
The modified chain method for a class of delay differential equations arising in neural networks. Zbl 1190.65107
Krasznai, B.; Győri, I.; Pituk, M.
2010
Oscillation conditions in scalar linear delay differential equations. Zbl 0585.34044
Györi, István
1986
Oscillations of a class of delay equations with continuous and piecewise constant arguments. Zbl 0697.34059
Gopalsamy, K.; Györi, I.; Ladas, G.
1989
A new view of the $$l^p$$-theory for a system of higher order difference equations. Zbl 1193.39001
Győri, I.; Horváth, L.
2010
On the exponential stability of a state-dependent delay equation. Zbl 0966.34068
Győri, István; Hartung, Ferenc
2000
Uniform approximation of a nonlinear delay equation on infinite intervals. Zbl 0735.34044
Györi, István; Turi, János
1991
Oscillations of systems of neutral differential equations. Zbl 0723.34057
1988
Sharp conditions for boundedness in linear discrete Volterra equations. Zbl 1180.39017
Győri, István; Reynolds, David W.
2009
Permanence in a class of delay differential equations with mixed monotonicity. Zbl 1413.34243
Győri, István; Hartung, Ferenc; Mohamady, Nahed
2018
The method of lines for the solution of some nonlinear partial differential equations. Zbl 0659.65082
Györi, I.
1988
Numerical approximation of neutral differential equations on infinite interval. Zbl 1016.34081
Győri, István; Hartung, Ferenc
2002
On the boundedness of the solutions in nonlinear discrete Volterra difference equations. Zbl 1278.39018
2012
Delay differential and integro-differential equations in biological compartment models. Zbl 0552.92001
Györi, István
1982
Asymptotic formulas for a scalar linear delay differential equation. Zbl 1389.34195
Győri, István; Pituk, Mihály
2016
Global attractivity in a perturbed linear delay differential equation. Zbl 0662.34068
Györi, Istvan
1989
Oscillations of retarded differential equations of the neutral and the mixed types. Zbl 0688.34045
Györi, István
1989
Oscillation and comparison results in neutral differential equations and their applications to the delay logistic equation. Zbl 0697.92023
Györi, I.
1989
Existence of periodic solutions in a linear higher order system of difference equations. Zbl 1350.39007
Győri, István; Horváth, László
2013
Global attractivity in delay differential equations using a mixed monotone technique. Zbl 0719.34129
Györi, Istvan
1990
Stability analysis of a single neuron model with delay. Zbl 1031.65086
Győri, István; Hartung, Ferenc
2003
Sharp estimation for the solutions of delay differential and Halanay type inequalities. Zbl 1387.34111
Gyori, István; Horváth, László
2017
Qualitative properties of the solutions of a delay differential equation with impulses. I: Stability. Zbl 0982.34063
Arino, O.; Győri, I.
1999
Invariant cones of positive initial functions for delay differential equations. Zbl 0662.34069
Györi, Istvan
1990
Asymptotically exponential solutions in nonlinear integral and differential equations. Zbl 1207.45012
Győri, István; Hartung, Ferenc
2010
Special solutions of neutral functional differential equations. Zbl 1004.34068
Győri, István; Pituk, Mihály
2001
Oscillation results for linear autonomous partial delay differential equations. Zbl 0808.35167
Györi, I.; Krisztin, T.
1993
Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities. Zbl 1413.34218
Győri, István; Horváth, László
2018
Subexponential solutions of scalar linear integro-differential equations with delay. Zbl 1063.45005
Appleby, J. A. D.; Győri, I.; Reynolds, D. W.
2004
A generalization of Bellman’s inequality for Stieltjes integrals and a uniqueness theorem. Zbl 0242.34002
Györi, I.
1972
Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations. Zbl 1399.47152
Győri, István; Hartung, Ferenc; Mohamady, Nahed A.
2017
Modelling thrombopoiesis regulation. II: Mathematical investigation of the model. Zbl 0645.92006
Györi, I.; Eller, J.
1987
On asymptotically ordinary functional differential equations. Zbl 0363.34047
Györi, I.
1977
Asymptotic behaviour of the solutions of a nonautonomous linear delay difference system. Zbl 1206.39018
Győri, I.; Horváth, L.
2010
Time-dependent subpopulation induction in heterogeneous tumors. Zbl 0656.92005
Gyori, Istvan; Michelson, Seth; Leith, John
1988
On oscillations of unbounded solutions. Zbl 0686.34067
Györi, I.; Ladas, G.; Pakula, L.
1989
Oscillation theorems for delay differential equations via Laplace transforms. Zbl 0719.34120
Györi, I; Ladas, G.; Pakula, L.
1990
Some mathematical aspects of modelling cell population dynamics. Zbl 0729.92020
Györi, I.
1990
Asymptotic stability in a linear delay difference equation. Zbl 0892.39007
Győri, István; Pituk, Mihály
1997
Sharp algebraic periodicity conditions for linear higher order difference equations. Zbl 1268.39011
Győri, István; Horváth, László
2012
$$l^{p}$$-solutions and stability analysis of difference equations using the Kummer’s test. Zbl 1225.39020
Győri, I.; Horváth, L.
2011
On numerical solutions for a class of nonlinear delay equations with time- and state-dependent delays. Zbl 0846.34067
Györi, I.; Hartung, F.; Turi, J.
1996
A delay differential equation with an impulsive self-support condition. Zbl 1443.34062
Federson, M.; Györi, I.; Mesquita, J. G.; Táboas, P.
2020
BIBO stabilization of feedback control systems with time dependent delays. Zbl 1311.93064
Awwad, Essam; Györi, István; Hartung, Ferenc
2012
Existence and growth of oscillatory solutions of first order unstable type delay differential equations. Zbl 0706.34062
Györi, István
1989
Global stability in job systems. Zbl 0641.92014
Karakostas, George; Györi, Istvan
1988
Asymptotic behaviour of nonlinear difference equations. Zbl 1277.39025
Győri, István; Hartung, Ferenc
2012
On a nonlinear delay population model. Zbl 1410.34212
Gyori, István; Hartung, Ferenc; Mohamady, Nahed A.
2015
Stability in a class of integrodifferential systems. Zbl 0832.34079
Györi, István
1992
History-dependent decay rates for a logistic equation with infinite delay. Zbl 1221.34207
Appleby, John A. D.; Győri, István; Reynolds, David W.
2011
Necessary and sufficient stability conditions in an asymptotically ordinary delay differential equation. Zbl 0770.34050
Györi, István
1993
Positive decreasing solutions of higher-order nonlinear difference equations. Zbl 1198.39018
Krasznai, B.; Győri, I.; Pituk, M.
2010
Gronwall-Bellman type integral inequalities for abstract Lebesgue integral. Zbl 0881.26006
Györi, I.; Horváth, L.
1997
A delay differential equation with an impulsive self-support condition. Zbl 1443.34062
Federson, M.; Györi, I.; Mesquita, J. G.; Táboas, P.
2020
On the fundamental solution and its application in a large class of differential systems determined by Volterra type operators with delay. Zbl 1455.34067
Győri, István; Horváth, László
2020
Permanence in a class of delay differential equations with mixed monotonicity. Zbl 1413.34243
Győri, István; Hartung, Ferenc; Mohamady, Nahed
2018
Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities. Zbl 1413.34218
Győri, István; Horváth, László
2018
Unbounded and blow-up solutions for a delay logistic equation with positive feedback. Zbl 1397.34114
Gyori, István; Nakata, Yukihiko; Röst, Gergely
2018
Boundedness of positive solutions of a system of nonlinear delay differential equations. Zbl 1397.34113
Győri, István; Hartung, Ferenc; Mohamady, Nahed A.
2018
Sharp estimation for the solutions of delay differential and Halanay type inequalities. Zbl 1387.34111
Gyori, István; Horváth, László
2017
Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations. Zbl 1399.47152
Győri, István; Hartung, Ferenc; Mohamady, Nahed A.
2017
Asymptotic formulas for a scalar linear delay differential equation. Zbl 1389.34195
Győri, István; Pituk, Mihály
2016
On explicit stability conditions for a linear fractional difference system. Zbl 1320.39004
Čermák, Jan; Gyori, István; Nechvátal, Ludĕk
2015
On a nonlinear delay population model. Zbl 1410.34212
Gyori, István; Hartung, Ferenc; Mohamady, Nahed A.
2015
Existence of positive solutions of linear delay difference equations with continuous time. Zbl 1349.39019
Chatzarakis, George; Győri, István; Péics, Hajnalka; Stavroulakis, I.
2015
Widely applicable periodicity results for higher order difference equations. Zbl 1296.39010
Győri, István; Horváth, László
2014
Existence of periodic solutions in a linear higher order system of difference equations. Zbl 1350.39007
Győri, István; Horváth, László
2013
On the boundedness of the solutions in nonlinear discrete Volterra difference equations. Zbl 1278.39018
2012
Sharp algebraic periodicity conditions for linear higher order difference equations. Zbl 1268.39011
Győri, István; Horváth, László
2012
BIBO stabilization of feedback control systems with time dependent delays. Zbl 1311.93064
Awwad, Essam; Györi, István; Hartung, Ferenc
2012
Asymptotic behaviour of nonlinear difference equations. Zbl 1277.39025
Győri, István; Hartung, Ferenc
2012
Explicit asymptotic limits for a class of discrete Volterra equations. Zbl 1261.39002
Győri, István; Reynolds, David W.
2012
Convergence of solutions of a linear impulsive differential equations system with many delays. Zbl 1227.34077
Győri, Istvan; Karakoç, Fatma; Bereketoğlu, Hüseyin
2011
$$l^{p}$$-solutions and stability analysis of difference equations using the Kummer’s test. Zbl 1225.39020
Győri, I.; Horváth, L.
2011
History-dependent decay rates for a logistic equation with infinite delay. Zbl 1221.34207
Appleby, John A. D.; Győri, István; Reynolds, David W.
2011
Asymptotic constancy in linear difference equations: limit formulae and sharp conditions. Zbl 1191.39001
Győri, István; Horváth, László
2010
On asymptotically periodic solutions of linear discrete Volterra equations. Zbl 1210.39009
Győri, István; Reynolds, David W.
2010
On admissibility of the resolvent of discrete Volterra equations. Zbl 1215.39005
Győri, István; Reynolds, David W.
2010
The modified chain method for a class of delay differential equations arising in neural networks. Zbl 1190.65107
Krasznai, B.; Győri, I.; Pituk, M.
2010
A new view of the $$l^p$$-theory for a system of higher order difference equations. Zbl 1193.39001
Győri, I.; Horváth, L.
2010
Asymptotically exponential solutions in nonlinear integral and differential equations. Zbl 1207.45012
Győri, István; Hartung, Ferenc
2010
Asymptotic behaviour of the solutions of a nonautonomous linear delay difference system. Zbl 1206.39018
Győri, I.; Horváth, L.
2010
Positive decreasing solutions of higher-order nonlinear difference equations. Zbl 1198.39018
Krasznai, B.; Győri, I.; Pituk, M.
2010
Sharp conditions for boundedness in linear discrete Volterra equations. Zbl 1180.39017
Győri, István; Reynolds, David W.
2009
On numerical approximation using differential equations with piecewise-constant arguments. Zbl 1164.34038
Győri, István; Hartung, Ferenc
2008
Asymptotic representation of the solutions of linear Volterra difference equations. Zbl 1146.39011
Győri, István; Horváth, László
2008
Exponential stability of a state-dependent delay system. Zbl 1144.34051
Györi, István; Hartung, Ferenc
2007
On exact convergence rates for solutions of linear systems of Volterra difference equations. Zbl 1119.39003
Appleby, John A. D.; Győri, István; Reynolds, David W.
2006
Fundamental solution and asymptotic stability of linear delay differential equations. Zbl 1099.34067
Győri, István; Hartung, Ferenc
2006
On exact rates of decay of solutions of linear systems of Volterra equations with delay. Zbl 1148.45003
Appleby, John A. D.; Győri, István; Reynolds, David W.
2006
Subexponential solutions of scalar linear integro-differential equations with delay. Zbl 1063.45005
Appleby, J. A. D.; Győri, I.; Reynolds, D. W.
2004
Existence and uniqueness of solutions of a perturbation of the McKendrick-von Foester equation. Zbl 1063.35053
Greenhalgh, D.; Győri, I.
2004
Stability analysis of a single neuron model with delay. Zbl 1031.65086
Győri, István; Hartung, Ferenc
2003
On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation. Zbl 1007.34063
Győri, Istvàn; Trofimchuk, Sergei I.
2002
Numerical approximation of neutral differential equations on infinite interval. Zbl 1016.34081
Győri, István; Hartung, Ferenc
2002
On equi-stability with respect to parameters in functional differential equations. Zbl 1056.34072
Győri, István; Hartung, Ferenc
2002
Stability in delay perturbed differential and difference equations. Zbl 0990.34066
Győri, István; Hartung, Ferenc
2001
The converse of the theorem on stability by the first approximation for difference equations. Zbl 1042.39513
Györi, István; Pituk, Mihály
2001
Preservation of stability in a linear neutral differential equation under delay perturbations. Zbl 0994.34065
Győri, István; Hartung, Ferenc
2001
Special solutions of neutral functional differential equations. Zbl 1004.34068
Győri, István; Pituk, Mihály
2001
Oscillations of second order nonlinear neutral delay difference equations. Zbl 1028.39005
Thandapani, E.; Sundaram, P.; Gyori, I.
2001
Global attractivity and persistence in a discrete population model. Zbl 0977.39005
Győri, I.; Trofimchuk, S. I.
2000
A new approach to the global asymptotic stability problem in a delay Lotka-Volterra differential equation. Zbl 1042.34571
Györi, I.
2000
On the exponential stability of a state-dependent delay equation. Zbl 0966.34068
Győri, István; Hartung, Ferenc
2000
Global attractivity in $$x'(t)=-\delta x(t)+pf(x(t-\tau))$$. Zbl 0965.34064
Győri, István; Trofimchuk, Sergei I.
1999
Qualitative properties of the solutions of a delay differential equation with impulses. I: Stability. Zbl 0982.34063
Arino, O.; Győri, I.
1999
Qualitative properties of the solutions of a delay differential equation with impulses. II: Oscillations. Zbl 0989.34054
Arino, O.; Győri, I.
1999
Preservation of stability in delay equations under delay perturbations. Zbl 0914.34070
Győri, István; Hartung, Ferenc; Turi, Janos
1998
Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay. Zbl 0880.34072
Bereketoglu, H.; Györi, I.
1997
Stability criteria for linear delay differential equations. Zbl 0894.34064
Györi, I.; Pituk, M.
1997
Asymptotic stability in a linear delay difference equation. Zbl 0892.39007
Győri, István; Pituk, Mihály
1997
Gronwall-Bellman type integral inequalities for abstract Lebesgue integral. Zbl 0881.26006
Györi, I.; Horváth, L.
1997
On the boundedness of the solutions of a third-order nonlinear differential equation. Zbl 0883.34059
Bereketoglu, H.; Györi, I.
1997
Stability of semilinear delay equations with positive solutions. Zbl 0901.34070
Desch, W.; Györi, István; Pongor, Gábor
1997
Comparison theorems and asymptotic equilibrium for delay differential and difference equations. Zbl 0859.34053
Györi, I.; Pituk, M.
1996
Asymptotically diagonal delay differential systems. Zbl 0876.34078
Arino, O.; Györi, I.; Pituk, M.
1996
On numerical solutions for a class of nonlinear delay equations with time- and state-dependent delays. Zbl 0846.34067
Györi, I.; Hartung, F.; Turi, J.
1996
Asymptotic periodicity in impulsive differential equations of retarded type with applications to compartmental models. Zbl 0846.34072
Györi, István
1996
Asymptotic formulae for the solutions of a linear delay difference equation. Zbl 0846.39003
Györi, I.; Pituk, M.
1995
Asymptotic theory for delay difference equations. Zbl 0853.39004
Elaydi, S.; Györi, I.
1995
Numerical approximations for a class of differential equations with time- and state-dependent delays. Zbl 0840.65069
Györi, I.; Hartung, F.; Turi, J.
1995
$$L^ 2$$-perturbation of a linear delay differential equation. Zbl 0853.34070
Györi, I.; Pituk, M.
1995
Necessary and sufficient conditions for the oscillations of a multiplicative delay logistic equation. Zbl 0837.34073
Grace, S. R.; Györi, I.; Lalli, B. S.
1995
On the effects of delay perturbations on the stability of delay difference equations. Zbl 0860.39010
Györi, István; Hartung, Ferenc; Turi, Janos
1995
Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments. Zbl 0809.65074
Cooke, K. L.; Györi, I.
1994
An application of discrete inequality to second order nonlinear oscillation. Zbl 0823.39004
Thandapani, E.; Györi, I.; Lalli, B. S.
1994
Oscillation results for linear autonomous partial delay differential equations. Zbl 0808.35167
Györi, I.; Krisztin, T.
1993
Necessary and sufficient stability conditions in an asymptotically ordinary delay differential equation. Zbl 0770.34050
Györi, István
1993
Positive solutions of integro-differential equations with unbounded delay. Zbl 0761.45009
1992
Stability in a class of integrodifferential systems. Zbl 0832.34079
Györi, István
1992
Oscillations of nonlinear delay differential equations – general linearized oscillations results. Zbl 0767.34051
Györi, István
1992
Oscillation theory of delay differential equations: with applications. Zbl 0780.34048
1991
On approximation of the solutions of delay differential equations by using piecewise constant arguments. Zbl 0714.34100
Györi, Istvan
1991
Global attractivity in a delay difference equation. Zbl 0763.39001
Györi, I.; Ladas, G.; Vlahos, P. N.
1991
A neutral equation arising from compartmental systems with pipes. Zbl 0729.34061
Györi, István; Wu, J.
1991
Conditions for oscillation of difference equations with applications to equations with piecewise constant arguments. Zbl 0734.39003
Györi, I.; Ladas, G.; Pakula, L.
1991
Uniform approximation of a nonlinear delay equation on infinite intervals. Zbl 0735.34044
Györi, István; Turi, János
1991
Global attractivity in non-oscillating perturbed linear delay differential equations. Zbl 0796.34066
Györi, István
1991
Sharp conditions for existence of nontrivial invariant cones of nonnegative initial values of difference equations. Zbl 0715.39001
Györi, Istvan
1990
Interaction between oscillations and global asymptotic stability in delay differential equations. Zbl 0726.34054
Györi, Istvan
1990
Global attractivity in delay differential equations using a mixed monotone technique. Zbl 0719.34129
Györi, Istvan
1990
Invariant cones of positive initial functions for delay differential equations. Zbl 0662.34069
Györi, Istvan
1990
Oscillation theorems for delay differential equations via Laplace transforms. Zbl 0719.34120
Györi, I; Ladas, G.; Pakula, L.
1990
Some mathematical aspects of modelling cell population dynamics. Zbl 0729.92020
Györi, I.
1990
Comparison results for integro-differential equations of Volterra type. Zbl 0723.45016
Györi, I.
1990
Linearized oscillations for equations with piecewise constant arguments. Zbl 0723.34058
1989
Necessary and sufficient condition for oscillation of a neutral differential system with several delays. Zbl 0691.34054
Arino, O.; Györi, I.
1989
Asymptotic integration of delay differential systems. Zbl 0681.34067
Arino, O.; Györi, I.
1989
Oscillations of a class of delay equations with continuous and piecewise constant arguments. Zbl 0697.34059
Gopalsamy, K.; Györi, I.; Ladas, G.
1989
Global attractivity in a perturbed linear delay differential equation. Zbl 0662.34068
Györi, Istvan
1989
Oscillations of retarded differential equations of the neutral and the mixed types. Zbl 0688.34045
Györi, István
1989
Oscillation and comparison results in neutral differential equations and their applications to the delay logistic equation. Zbl 0697.92023
Györi, I.
1989
On oscillations of unbounded solutions. Zbl 0686.34067
Györi, I.; Ladas, G.; Pakula, L.
1989
...and 25 more Documents
all top 5

### Cited by 1,245 Authors

 64 Diblík, Josef 63 Berezansky, Leonid M. 61 Braverman, Elena 55 Gyori, Istvan 49 Yan, Jurang 34 Grace, Said Rezk 32 Agarwal, Ravi P. 27 Saker, Samir H. 27 Stavroulakis, Ioannis P. 26 Chatzarakis, George E. 24 Philos, Christos G. 24 Zhang, Binggen 23 Pituk, Mihály 21 Hartung, Ferenc 21 Shen, Jianhua 21 Tang, Xianhua 19 El-Morshedy, Hassan A. 19 Thandapani, Ethiraju 18 Šmarda, Zdeněk 17 Li, Wan-Tong 16 Cheng, Sui Sun 16 Yu, Jian-She 15 Idels, Lev V. 15 Karpuz, Başak 15 Ocalan, Ozkan 15 Růžičková, Miroslava 14 Graef, John R. 14 Horváth, László 13 Domoshnitsky, Alexander I. 13 Džurina, Jozef 13 Khennaoui, Amina-Aicha 13 Liz, Eduardo 13 Ouannas, Adel 13 Pinto, Manuel 13 Wu, Jianhong 12 Bazighifan, Omar 12 Grassi, Giuseppe 12 Jadlovská, Irena 12 Ladas, Gerasimos E. 12 Purnaras, Ioannis K. 12 Zhou, Yong 10 Appleby, John A. D. 10 Baštinec, Jaromír 10 Čermák, Jan 10 Pham, Viet-Thanh 10 Pinelas, Sandra 10 Trofimchuk, Sergei I. 10 Wu, Fuke 10 Yi, Taishan 9 Arino, Ovide 9 Bainov, Drumi Dimitrov 9 Bohner, Martin J. 9 Ferreira, José Manuel 9 Ge, Weigao 9 Huang, Lihong 9 Liu, Youjun 9 Svoboda, Zdeněk 9 Teng, Zhi-dong 9 Turi, Janos 8 Akhmet, Marat Ubaydulla 8 Bendoukha, Samir 8 Candan, Tuncay 8 Gopalsamy, Kondalsamy 8 Karakoç, Fatma 8 Li, Tongxing 8 Malygina, Vera Vladimirovna 8 Messina, Eleonora 8 Schmeidel, Ewa L. 8 Sficas, Yiannis G. 8 Zhao, Aimin 7 Baculíková, Blanka 7 Faria, Teresa 7 Medina, Rigoberto 7 Migda, Małgorzata 7 Röst, Gergely 7 Santra, Shyam Sundar 7 Selvarangam, Srinivasan 7 Wang, Ke 7 Zou, Xingfu 6 Abdeljawad, Thabet 6 Băleanu, Dumitru I. 6 Bereketoglu, Huseyin 6 Gao, Jianfang 6 Koplatadze, R. G. 6 Kordonis, I.-G. E. 6 Kúdelčíková, Mária 6 Lalli, Bikkar S. 6 Lin, Xiaoyan 6 Mao, Xuerong 6 Meng, Qiong 6 Peng, Mingshu 6 Rath, Radhanath N. 6 Tripathy, Arun Kumar 6 Vecchio, Antonia 6 Wang, Qi 6 Wong, Patricia J. Y. 6 Wu, Guocheng 6 Zhao, Huanhuan 5 Ahmad, Bashir 5 Ardjouni, Abdelouaheb ...and 1,145 more Authors
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### Cited in 208 Serials

 186 Journal of Mathematical Analysis and Applications 116 Computers & Mathematics with Applications 115 Applied Mathematics and Computation 77 Applied Mathematics Letters 70 Advances in Difference Equations 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 Journal of Difference Equations and Applications 47 Mathematical and Computer Modelling 41 Journal of Computational and Applied Mathematics 41 Journal of Differential Equations 41 Abstract and Applied Analysis 24 Rocky Mountain Journal of Mathematics 22 Nonlinear Analysis. Real World Applications 20 Journal of Inequalities and Applications 18 Applicable Analysis 17 Nonlinear Analysis. Theory, Methods & Applications 16 Discrete Dynamics in Nature and Society 15 Czechoslovak Mathematical Journal 14 Discrete and Continuous Dynamical Systems. Series B 11 Communications in Nonlinear Science and Numerical Simulation 10 Journal of Dynamics and Differential Equations 10 Mediterranean Journal of Mathematics 9 Mathematica Slovaca 9 Proceedings of the American Mathematical Society 9 Fractional Calculus & Applied Analysis 9 Boundary Value Problems 8 Chaos, Solitons and Fractals 8 Fractals 7 Mathematical Biosciences 7 Acta Applicandae Mathematicae 7 Discrete and Continuous Dynamical Systems 6 Zeitschrift für Analysis und ihre Anwendungen 6 Russian Mathematics 6 Applied Mathematics. Series B (English Edition) 6 Opuscula Mathematica 6 Journal of Applied Mathematics 6 Journal of Applied Mathematics and Computing 6 Hacettepe Journal of Mathematics and Statistics 5 Bulletin of the Australian Mathematical Society 5 Journal of Mathematical Biology 5 Physica A 5 Automatica 5 Numerical Algorithms 5 Applied Mathematical Modelling 5 Journal of Mathematical Sciences (New York) 5 Differential Equations and Dynamical Systems 4 Mathematical Methods in the Applied Sciences 4 Periodica Mathematica Hungarica 4 International Journal of Mathematics and Mathematical Sciences 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Integral Equations and Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Turkish Journal of Mathematics 4 Complexity 4 Chaos 4 Mathematical Biosciences and Engineering 4 Journal of Fixed Point Theory and Applications 4 International Journal of Biomathematics 4 International Journal of Differential Equations 4 Journal of Theoretical Biology 3 Ukrainian Mathematical Journal 3 Bulletin of Mathematical Biology 3 Mathematics and Computers in Simulation 3 Siberian Mathematical Journal 3 Tôhoku Mathematical Journal. Second Series 3 Systems & Control Letters 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Mathematica Hungarica 3 Applied Numerical Mathematics 3 Applications of Mathematics 3 Automation and Remote Control 3 International Journal of Computer Mathematics 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Mathematical Problems in Engineering 3 Nonlinear Dynamics 3 Acta Mathematica Sinica. English Series 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Nonlinear Oscillations 3 Mathematical Modelling of Natural Phenomena 3 Palestine Journal of Mathematics 3 Nonautonomous Dynamical Systems 2 International Journal of Control 2 Israel Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Transactions of the American Mathematical Society 2 Bulletin of the Iranian Mathematical Society 2 Computational Mechanics 2 Neural Computation 2 Linear Algebra and its Applications 2 Journal of Nonlinear Science 2 The Journal of Analysis 2 Filomat 2 Journal of Applied Analysis 2 European Journal of Control 2 Journal of Vibration and Control 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki ...and 108 more Serials
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### Cited in 40 Fields

 896 Ordinary differential equations (34-XX) 451 Difference and functional equations (39-XX) 264 Biology and other natural sciences (92-XX) 79 Numerical analysis (65-XX) 73 Dynamical systems and ergodic theory (37-XX) 72 Partial differential equations (35-XX) 64 Systems theory; control (93-XX) 55 Integral equations (45-XX) 50 Real functions (26-XX) 50 Operator theory (47-XX) 40 Probability theory and stochastic processes (60-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Statistics (62-XX) 3 Number theory (11-XX) 3 Integral transforms, operational calculus (44-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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