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## Bainov, Drumi Dimitrov

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 Author ID: bainov.drumi-dimitrov Published as: Bainov, D.; Bainov, D. D.; Bainov, Drumi; Bainov, Drumi D.; Bainov, Drumi Dimitrov; Bajnov, D.; Bajnov, D. D.; Bajnov, Drumi; Bajnov, Drumi D.; Bajnov, Drumi Dimitrov; Baĭnov, D.; Baĭnov, D. D.; Baĭnov, Drumi D.; Baĭnov, Drumi Dimitrov External Links: Math-Net.Ru · dblp · GND
 Documents Indexed: 892 Publications since 1964, including 27 Books Reviewing Activity: 294 Reviews Biographic References: 1 Publication
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#### Co-Authors

 36 single-authored 88 Khristova, Snezhana G. 74 Konstantinov, Mikhail Mikhajlov 73 Simeonov, Pavel Sergeev 57 Minchev, Emil 56 Milusheva, Svetla Dimitrova 47 Dishliev, Angel B. 45 Kostadinov, Stepan I. 43 Miluseva, Svetla D. 39 Dimitrova, Margarita Boneva 36 Nikolova, Todorka St. 36 Stamova, Ivanka Milkova 32 Myshkis, Anatoliĭ Dmitrievich 31 Zabreĭko, Pëtr Petrovich 27 Kulev, G. K. 26 Zahariev, Andrey Ivanov 24 Arolska, Marija At. 23 Angelov, Vasil Georgiev 21 Sarafova, G. Khr. 17 Kamont, Zdzisław 14 Petrov, Vadim A. 13 Kazakova, Nedyalka G. 13 Milev, Nedelcho Velev 12 Covachev, Valéry C. 12 Mishev, Dimitar P. 11 Petrov, Vasil 10 Arolska-Khekimova, Marija A. 10 Kolev, Dimitar A. 8 Angelova, D. C. 8 Nguyen Van Minh 6 Markova, N. T. 6 Nakagawa, Kiyokazu 6 Voulov, Hristo Dimitrov 5 Angelova, D. Ts. 5 Dočev, Dočo Tr. 5 Domshlak, Yuriĭ Iosifovich 5 Motreanu, Dumitru 5 Samoĭlenko, Anatoliĭ Mykhaĭlovych 4 Dragieva, N. A. 4 Plotnikova, Galina V. 4 Stoyanov, Jordan M. 4 Zapryanov, Zapryan 3 Domoshnitsky, Alexander I. 3 Konstantinov, M. S. 3 Kulev, Georgi 3 Nenov, Svetoslav Ivanov 3 Partinova, N. A. 3 Proytcheva, V. S. 3 Ronkov, A. B. 3 Vatsala, Aghalaya S. 3 Veselinov, Vasil M. 2 Akça, Haydar 2 Cui, Baotong 2 Lakshmikantham, Vangipuram 2 Lubih, V. L. 2 Milushev, S. D. 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Nguyêñ Hôǹg Thái 2 Okoroafor, Ikechukwu E. 2 Panteleev, Dimitr K. 2 Perestyuk, Mykola Oleksiĭovych 2 Safarova, G. Kh. 2 Stamov, Gani Trendafilov 2 Veliov, Vladimir M. 1 Akça, A. 1 Angelova, D. Z. 1 Barbanti, Luciano 1 Boĭchuk, Oleksandr Andriĭovych 1 Chaleat, Raymond 1 Dimitrov, T. D. 1 Docev, Doco T. 1 Donevsky, Borislav D. 1 Gerov, G. Kh. 1 Hu, Shouchuan 1 Iliev, Ilija D. 1 Kazakova, N. C. 1 Kirane, Mokhtar 1 Klaus, Martin 1 Kolmanovskii, Vladimir Borisovich 1 Kong, Qingkai 1 Kostadinov, Todor Pavlov 1 Krivocheine, Leonid E. 1 Krivoshein, Leonida Eugenio 1 Len, N. V. 1 Luo, Jiawen 1 Milev, M. N. 1 Milusceva, S. D. 1 Mishkis, A. D. 1 Mulisheva, S. D. 1 Nieto Roig, Juan Jose 1 Nikolova, R. 1 Nikolova, T. C. 1 Oguztöreli, Mehmet Namik 1 Pączkowska-Prządka, Katarzyna 1 Popova, L. I. 1 Proicheva, V. 1 Projcheva, V. 1 Proycheva, Valentina 1 Rauh, André 1 Ronkov, Avram 1 Rozov, Nikolaĭ Khristovich ...and 8 more Co-Authors
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#### Fields

 631 Ordinary differential equations (34-XX) 179 Integral equations (45-XX) 90 Partial differential equations (35-XX) 44 Numerical analysis (65-XX) 36 Real functions (26-XX) 18 Systems theory; control (93-XX) 16 Operator theory (47-XX) 15 General and overarching topics; collections (00-XX) 12 Mechanics of particles and systems (70-XX) 10 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of deformable solids (74-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Probability theory and stochastic processes (60-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

311 Publications have been cited 5,065 times in 2,998 Documents Cited by Year
Theory of impulsive differential equations. Zbl 0719.34002
Lakshmikantham, V.; Bajnov, D. D.; Simeonov, P. S.
1989
Impulsive differential equations: periodic solutions and applications. Zbl 0815.34001
Bainov, D.; Simeonov, P.
1993
Exponential stability of the solutions of the initial value problem for systems with an impulse effect. Zbl 0676.34035
Simeonov, P. S.; Bainov, D. D.
1989
Integral inequalities and applications. Transl. by R. A. M. Hoksbergen. Zbl 0759.26012
Baĭnov, D.; Simeonov, P.
1992
Asymptotic equivalence of nonlinear systems with impulse effect. Zbl 0671.34052
Simeonov, P. S.; Bainov, D. D.
1989
Systems with impulse effect stability, theory and applications. Zbl 0683.34032
Bajnov, D. D.; Simeonov, P. S.
1989
Criteria for dichotomy of linear impulsive differential equations. Zbl 0793.34011
Simeonov, P. S.; Bainov, D. D.
1993
Impulsive differential equations. Asymptotic properties of the solutions. Zbl 0828.34002
Bainov, D. D.; Simeonov, P. S.
1995
Oscillation theory for neutral differential equations with delay. Zbl 0747.34037
Bainov, Drumi D.; Mishev, D. P.
1991
Orbital stability of periodic solutions of autonomous systems with impulse effect. Zbl 0669.34044
Simeonov, P. S.; Bainov, D. D.
1988
Stability with respect to part of the variables in systems with impulse effect. Zbl 0588.34044
Simeonov, P. S.; Bainov, D. D.
1986
Impulsive integral inequalities with delay. Zbl 1136.26003
Bainov, D. D.; Simeonov, P. S.
2006
Impulsive differential equations with a small parameter. Zbl 0828.34001
Bainov, D. D.; Covachev, Valéry
1994
Oscillation theory of impulsive differential equations. Zbl 0949.34002
Bainov, Drumi; Simeonov, Pavel
1998
Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations. Zbl 0849.34051
Hristova, S. G.; Bainov, D. D.
1996
Periodic boundary value problems for systems of first order impulsive differential equations. Zbl 0732.34040
Bajnov, D. D.; Khristova, S. G.; Hu, Shouchuan; Lakshmikantham, V.
1989
Oscillation of the solutions of parabolic differential equations of neutral type. Zbl 0673.35037
Mishev, D. P.; Bainov, D. D.
1988
Oscillating properties of the solutions of a class of neutral type functional differential equations. Zbl 0465.34042
Zakhariev, A. I.; Bajnov, D. D.
1980
Differential equations with maxima. Zbl 1244.34001
Bainov, Drumi D.; Hristova, Snezhana G.
2011
Orbital stability of the periodic solutions of autonomous systems with impulse effect. Zbl 0684.34056
Simeonov, Pavel S.; Bainov, Drumi D.
1989
Oscillation properties of the solutions of a class of hyperbolic equations of neutral type. Zbl 0651.35052
Mishev, D. P.; Bainov, D. D.
1986
Sturmian comparison theory for impulsive differential inequalities and equations. Zbl 0856.34033
Bainov, D. D.; Domshlak, Yu. I.; Simeonov, P. S.
1996
The second method of Liapunov for systems with an impulse effect. Zbl 0641.34051
Simeonov, P. S.; Bainov, D. D.
1985
Sufficient conditions for absence of ”beating” in systems of differential equations with impulses. Zbl 0596.34016
Dishliev, A. B.; Bainov, D. D.
1984
Stability under persistent disturbances of impulsive differential- difference equations of neutral type. Zbl 0811.34057
Bainov, D. D.; Covachev, V. Chr.; Stamova, I. M.
1994
On the asymptotic stability of systems with impulses by the direct method of Lyapunov. Zbl 0681.34042
Kulev, G. K.; Bainov, D. D.
1989
Oscillation of the bounded solutions of impulsive differential-difference equations of second order. Zbl 1030.34062
Bainov, D. D.; Dimitrova, M. B.; Dishliev, A. B.
2000
Oscillation of the solutions to impulsive differential equations and inequalities with a retarded argument. Zbl 0922.34059
Bainov, D. D.; Dimitrova, M. B.; Dishliev, A. B.
1998
Nonnegativity of the Cauchy matrix and exponential stability of a neutral type system of functional differential equations. Zbl 0989.34063
Bainov, D.; Domoshnitsky, A.
1993
Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential equations with ”supremum”. Zbl 0772.34047
Khristova, S. G.; Bajnov, D. D.
1993
Exponential dichotomy of linear impulsive differential equations in a Banach space. Zbl 0698.34042
Bajnov, D. D.; Kostadinov, S. I.; Zabrejko, P. P.
1989
The averaging method for a class of stochastic differential equations. Zbl 0294.60051
Stojanov, I. M.; Bainov, D. D.
1975
Forced oscillation of solutions of certain hyperbolic equations of neutral type. Zbl 0866.35130
Bainov, Drumi; Cui, Baotong; Minchev, Emil
1996
On the practical stability of the solutions of impulsive systems of differential-difference equations with variable impulsive perturbations. Zbl 0848.34058
Bainov, Drumi D.; Stamova, Ivanka M.
1996
Stability under persistent disturbances for systems with impulse effect. Zbl 0579.34035
Simeonov, P. S.; Bajnov, D. D.
1985
Asymptotic equivalence of two systems of differential equations with impulse effect. Zbl 0529.93050
Simeonov, P. S.; Bajnov, D. D.
1983
Oscillatory and asymptotic behavior of second-order neutral difference equations with maxima. Zbl 0984.39006
Luo, J. W.; Bainov, D. D.
2001
Nonoscillatory solutions of neutral delay differential equations. Zbl 0960.34515
Bainov, D. D.; Simeonov, P. S.
1998
Oscillation of sub- and superlinear impulsive differential equations with constant delay. Zbl 0879.34068
Bainov, Drumi; Dimitrova, Margarita
1997
Monotone iterative methods for impulsive hyperbolic differential-functional equations. Zbl 0855.65137
Bainov, Drumi D.; Kamont, Zdzislaw; Minchev, Emil
1996
Characteristic exponents of impulsive differential equations in a Banach space. Zbl 0655.34052
Zabrejko, P. P.; Bajnov, D. D.; Kostadinov, S. I.
1988
Existence of periodic solutions of nonlinear systems of differential equations with impulse effect. Zbl 0636.34031
Khristova, S. G.; Bajnov, D. D.
1987
On some oscillation criteria for a class of neutral type functional differential equations. Zbl 0615.34066
Zakhariev, A. I.; Bajnov, D. D.
1986
The method of quasilinearization for the periodic boundary value problem for systems of impulsive differential equations. Zbl 1033.34012
Bainov, D. D.; Hristova, S. G.
2001
On the oscillation properties of first-order impulsive differential equations with a deviating argument. Zbl 0880.34070
Bainov, D.; Domshlak, Yu. I.; Simeonov, P. S.
1997
Estimates of solutions of impulsive parabolic equations and applications to the population dynamics. Zbl 0871.35018
Bainov, Drumi; Minchev, Emil
1996
Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population. Zbl 0691.92016
Bainov, D. D.; Dishliev, A. B.
1989
Perturbation theorems for systems with impulse effect. Zbl 0661.34060
Simeonov, P. S.; Bainov, D. D.
1988
On the functional differential equations with ”maximums”. Zbl 0524.34069
Angelov, V. G.; Bajnov, D. D.
1983
Oscillation of the solutions of impulsive parabolic equations. Zbl 0857.35007
Bainov, Drumi; Minchev, Emil
1996
Asymptotic equivalence of abstract impulsive differential equations. Zbl 0843.34051
Bainov, D. D.; Kostadinov, S. I.; Myshkis, A. D.
1996
On first order impulsive partial differential inequalities. Zbl 0815.35134
Bainov, Drumi; Kamont, Zdzislaw; Minchev, Emil
1994
Application of the monotone-iterative techniques of V. Lakshmikantham for solving the initial value problem for impulsive differential-difference equations. Zbl 0789.34056
Hristova, S. G.; Bainov, D. D.
1993
Bounded and periodic solutions of differential equations with impulse effect in a Banach space. Zbl 0715.34113
Bajnov, D. D.; Kostadinov, S. I.; Myshkis, A. D.
1988
Application of Lyapunov’s direct method to the investigation of the global stability of the solutions of systems with impulse effect. Zbl 0634.34040
Kulev, Georgi; Bainov, Drumi
1988
Conditions for the absence of the phenomenon ”beating” for systems of impulse differential equations. Zbl 0578.34026
Dishliev, A. B.; Bajnov, D. D.
1985
Periodic boundary value problems for impulsive hyperbolic systems. Zbl 0961.35083
Bainov, D.; Minchev, E.; Myshkis, A.
1997
Necessary and sufficient conditions for the existence of nonoscillatory solutions of impulsive differential equations of second order with retarded argument. Zbl 0880.34015
Bainov, Drumi; Dimitrova, Margarita; Dishliev, Angel
1996
Oscillation of solutions of impulsive nonlinear parabolic differential-difference equations. Zbl 0842.35127
Bainov, Drumi; Minchev, Emil
1996
Exponential stability of the solutions of singularly perturbed systems with impulse effect. Zbl 0714.34083
Simeonov, P. S.; Bajnov, D. D.
1990
Dependence upon initial conditions and parameter of solutions of impulsive differential equations with variable structure. Zbl 0699.34004
Dishliev, A. B.; Bajnov, D. D.
1990
Asymptotic behaviour of the nonoscillatory solutions of differential equations of second order with delay depending on the unknown function. Zbl 0930.34059
Bainov, D. D.; Markova, N. T.; Simeonov, P. S.
1998
Oscillatory properties of the solutions of impulsive differential equations with a deviating argument and nonconstant coefficients. Zbl 0912.34059
Bainov, D. D.; Dimitrova, M. B.
1997
Lipschitz quasistability of impulsive differential-difference equations with variable impulsive perturbations. Zbl 0854.34073
Bainov, D. D.; Dishliev, A. B.; Stamova, I. M.
1996
Uniform asymptotic stability of impulsive differential-difference equations of neutral type by Lyapunov’s direct method. Zbl 0848.34057
Bainov, D. D.; Stamova, I. M.
1995
Estimates of the solutions of impulsive quasilinear functional differential equations. Zbl 0749.34039
Bajnov, Drumi; Covachev, Valéry; Stamova, Ivanka
1991
Global stability of sets for impulsive differential systems by Lyapunov’s direct method. Zbl 0695.34053
Kulev, G. K.; Bajnov, D. D.
1990
Application of the monotone-iterative techniques of V. Lakshmikantham to the solution of the initial value problem for functional differential equations. Zbl 0742.34059
Khristova, Snezhana G.; Bajnov, Drumi D.
1989
Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces. Zbl 0674.34005
Dishliev, A. B.; Bainov, D. D.
1988
Stability of the solutions of singularly perturbed systems with impulse effect. Zbl 0671.34045
Simeonov, P. S.; Bainov, D. D.
1988
Differentiability of solutions of systems with impulse effect with respect to initial data and parameter. Zbl 0625.34059
Simeonov, P. S.; Bainov, D. D.
1987
On oscillation of solutions of forced functional differential equations of second order. Zbl 0573.34047
Angelova, D. C.; Bainov, D. D.
1985
Oscillating and asymptotic properties of a class of functional differential equations with maxima. Zbl 0559.34066
Bainov, Drumi D.; Zahariev, A. I.
1984
A note on Bellman-Gronwall’s inequality. Zbl 0468.26009
Zahariev, A. I.; Bainov, D. D.
1981
Forced oscillations of solutions of impulsive nonlinear parabolic differential-difference equations. Zbl 0922.35183
Bainov, Drumi; Minchev, Emil
1998
Dichotomies and almost periodicity of the solutions of systems of impulsive differential equations. Zbl 0848.34029
Bainov, D.; Myshkis, A. D.; Stamov, G. T.
1996
Comparison principles for impulsive hyperbolic equations of first order. Zbl 0841.35063
Bainov, Drumi D.; Kamont, Zdzislaw; Minchev, Emil
1995
Nonexistence of global solutions of the initial-boundary value problem for the nonlinear Klein-Gordon equation. Zbl 0826.35116
Bainov, D. D.; Minchev, E.
1995
Theorems on differential inequalities for second order functional differential equations. Zbl 0830.34056
Bainov, D.; Domoshnitsky, A.
1994
A necessary and sufficient condition for oscillation of neutral type hyperbolic equations. Zbl 0789.35015
Mishev, D. P.; Bainov, D. D.
1992
Stability of linear impulsive differential equations. Zbl 0706.93055
Milev, N. V.; Bainov, D. D.
1990
Existence of integral manifolds for impulsiv differential equations in a Banach space. Zbl 0681.34056
Bajnov, D. D.; Kostadinov, S. I.; Zabrejko, P. P.; Nguyêñ Hôǹg Thái
1989
Exponential stability of the solutions of the initial-value problem for systems with impulse effect. Zbl 0646.34063
Simeonov, P. S.; Bainov, D. D.
1988
Stability with respect to part of the variables in systems with impulse effect. Zbl 0639.34057
Simeonov, P. S.; Bainov, D. D.
1987
A projection-iterative method for finding periodic solutions of nonlinear systems of difference-differential equations with impulses. Zbl 0611.34032
Hristova, S. G.; Bainov, D. D.
1987
Applications of Lyapunov’s functions for studying the boundedness of solutions of systems with impulses. Zbl 0638.34044
Khristova, S. G.; Bajnov, D. D.
1986
Stability of the solutions of a system of integro-differential equations with impulse effect. Zbl 0611.45006
Simeonov, P. S.; Bainov, D. D.
1986
Stability in linear approximation of systems with impulse effect. Zbl 0629.34063
Simeonov, P. S.; Bajnov, D. D.
1985
On an abstract analog of the Bellman-Gronwall inequality. Zbl 0566.26006
Bainov, D. D.; Myshkis, A. D.; Zahariev, A. I.
1984
On the oscillation of solutions to second order functional differential equations. Zbl 0503.34043
Angelova, D. C.; Bainov, D. D.
1982
Justification of the averaging method for a system of differential equations with fast and slow variables and with impulses. Zbl 0472.34029
Bainov, D.; Milusheva, S.
1981
Blow-up property of the solutions of an impulsive reaction-diffusion model. Zbl 1085.35074
Bainov, Drumi D.; Kolev, Dimitar A.; Nakagawa, Kiyokazu
2003
Strong stability of impulsive differential-difference equations. Zbl 0960.34064
Bainov, D. D.; Stamova, I. M.
1999
Oscillation of the solutions of a class of impulsive differential equations with a deviating argument. Zbl 0905.34012
Bainov, D. D.; Dimitrova, Margarita B.; Dishliev, Angel B.
1998
Almost periodic solutions of hyperbolic systems of impulsive differential equations. Zbl 0873.34008
Bainov, D. D.; Dishliev, A. B.; Stamov, G. T.
1997
Integral inequalities of Gronwall type for piecewise continuous functions. Zbl 0882.26010
Bainov, Drumi D.; Hristova, Snezhana G.
1997
Approximate solutions of impulsive hyperbolic equations. Zbl 0964.35001
Bainov, Drumi; Kamont, Zdzisław; Minchev, Emil
1996
Global stability of the solutions of impulsive differential-difference equations. Zbl 0833.34070
Bainov, Drumi; Kulev, Georgi; Stamova, Ivanka
1995
Monotone-iterative techniques of Lakshmikantham for a boundary value problem for systems of differential equations with maxima. Zbl 0823.34064
Bainov, D. D.; Hristova, S. G.
1995
Monotonic impulsive differential equations. Zbl 0822.34013
Bainov, D. D.; Kostadinov, S. I.; Zabreiko, P. P.
1995
Differential equations with maxima. Zbl 1244.34001
Bainov, Drumi D.; Hristova, Snezhana G.
2011
Practical stability in terms of two measures for impulsive differential equations with “supremum”. Zbl 1232.34100
Bainov, Drumi; Hristova, Snezhana
2011
Impulsive integral inequalities with delay. Zbl 1136.26003
Bainov, D. D.; Simeonov, P. S.
2006
Blow-up property of the solutions of an impulsive reaction-diffusion model. Zbl 1085.35074
Bainov, Drumi D.; Kolev, Dimitar A.; Nakagawa, Kiyokazu
2003
Periodic solutions of linear impulsive differential equations with delay. Zbl 1085.34557
Bainov, D. D.; Simeonov, P. S.
2003
Blowing-up solution for an impulsive nonlinear reaction-diffusion model with an inhomogeneous boundary condition. Zbl 1085.35073
Bainov, Drumi D.; Kolev, Dimitar A.; Nakagawa, Kiyokazu
2003
Method of quasilinearization for the periodic boundary value problem for impulsive differential-difference equations. Zbl 1085.34556
Bainov, D. D.; Barbanti, L.; Hristova, S. G.
2003
Practical stability of the solutions of impulsive systems of differential-difference equations via the method of comparison and some applications to population dynamics. Zbl 1014.34073
Bainov, D. D.; Dishliev, A. B.; Stamova, I. M.
2002
Oscillatory and asymptotic behavior of second-order neutral difference equations with maxima. Zbl 0984.39006
Luo, J. W.; Bainov, D. D.
2001
The method of quasilinearization for the periodic boundary value problem for systems of impulsive differential equations. Zbl 1033.34012
Bainov, D. D.; Hristova, S. G.
2001
Lipschitz stability of impulsive functional-differential equations. Zbl 0994.34064
Bainov, D. D.; Stamova, I. M.
2001
Blow-up solutions for degenerate impulsive parabolic models. Zbl 1098.35515
Bainov, Drumi D.; Kolev, Dimitar A.; Motreanu, Dumitru
2001
Stability of the solutions of impulsive functional-differential equations by Lyapunov’s direct method. Zbl 0996.34065
Bainov, D. D.; Stamova, I. M.
2001
Blow-up domain for an impulsive reaction-diffusion system. Zbl 0992.35045
Bainov, Drumi D.; Kolev, Dimitar A.; Motreanu, Dumitru
2001
Vector Lyapunov functions and conditional stability for systems of impulsive differential-difference equations. Zbl 0980.93074
Bainov, D. D.; Stamova, I. M.
2001
Oscillation of the bounded solutions of impulsive differential-difference equations of second order. Zbl 1030.34062
Bainov, D. D.; Dimitrova, M. B.; Dishliev, A. B.
2000
Solutions with polynomial growth to an impulsive parabolic model. Zbl 1046.35114
Bainov, Drumi D.; Kolev, Dimitar A.; Nakagawa, Kiyokazu
2000
The control of the blowing-up time for the solution of the semilinear parabolic equation with impulsive effect. Zbl 0974.35058
Bainov, Drumi D.; Kolev, Dimitar A.; Nakagawa, Kiyokazu
2000
Existence, uniqueness and continuability of solutions of impulsive differential-difference equations. Zbl 0960.34068
Bainov, D. D.; Stamova, I. M.
2000
Strong stability of impulsive differential-difference equations. Zbl 0960.34064
Bainov, D. D.; Stamova, I. M.
1999
Existence, uniqueness and continuability of solutions of impulsive differential-difference equations. Zbl 0938.34071
Bainov, D. D.; Stamova, I. M.
1999
Forced oscillations of solutions of hyperbolic equations of neutral type with maxima. Zbl 1026.35100
Bainov, Drumi; Minchev, Emil
1999
Oscillation of the solutions of nonlinear impulsive differential equations of the first order with advanced argument. Zbl 0987.34072
Bainov, D. D.; Dimitrova, M. B.; Dishliev, A. B.
1999
On the stability of solutions of impulsive nonlinear parabolic equations. Zbl 0939.35024
Bainov, Drumi; Minchev, Emil
1999
Sufficient conditions for the oscillation to bounded solutions of a class of impulsive differential equations of second order with a constant delay. Zbl 0926.34056
Bainov, D. D.; Dimitrova, M. B.
1999
Forced oscillations of solutions of impulsive nonlinear hyperbolic differential-difference equations. Zbl 1223.35024
Minchev, Emil; Bainov, Drumi
1999
Oscillatory and asymptotic properties of solutions of nonlinear impulsive differential equations of third order with retarded argument. Zbl 0936.34071
Bainov, D. D.; Dimitrova, M. B.
1999
Nonoscillatory solutions of a class of impulsive differential equations of $$n$$th order with retarded argument. Zbl 0935.34068
Bainov, D. D.; Dimitrova, M. B.; Dishliev, A. B.
1999
Oscillation theory of impulsive differential equations. Zbl 0949.34002
Bainov, Drumi; Simeonov, Pavel
1998
Oscillation of the solutions to impulsive differential equations and inequalities with a retarded argument. Zbl 0922.34059
Bainov, D. D.; Dimitrova, M. B.; Dishliev, A. B.
1998
Nonoscillatory solutions of neutral delay differential equations. Zbl 0960.34515
Bainov, D. D.; Simeonov, P. S.
1998
Asymptotic behaviour of the nonoscillatory solutions of differential equations of second order with delay depending on the unknown function. Zbl 0930.34059
Bainov, D. D.; Markova, N. T.; Simeonov, P. S.
1998
Forced oscillations of solutions of impulsive nonlinear parabolic differential-difference equations. Zbl 0922.35183
Bainov, Drumi; Minchev, Emil
1998
Oscillation of the solutions of a class of impulsive differential equations with a deviating argument. Zbl 0905.34012
Bainov, D. D.; Dimitrova, Margarita B.; Dishliev, Angel B.
1998
Oscillatory properties of solutions of impulsive differential equations with several retarded arguments. Zbl 0912.34014
Bainov, D. D.; Dimitrova, M. B.; Petrov, V. A.
1998
Stability of sets for impulsive differential-difference equations with variable impulsive perturbations. Zbl 1108.34301
Bainov, D. D.; Stamova, I. M.
1998
Forced oscillations of solutions of impulsive nonlinear parabolic equations. Zbl 1108.35387
Bainov, Drumi; Minchev, Emil
1998
Continuous dependence of solutions to impulsive systems of differential-difference equations on initial data and on a parameter. Zbl 0958.34065
Bainov, D. D.; Dishliev, A. B.; Stamova, I. M.
1998
Oscillatory solutions of a class of nonlinear impulsive differential equations of first order with retarded argument. Zbl 0922.34061
Bainov, D. D.; Dimitrova, M. B.; Dishliev, A. B.
1998
Present state of the stability theory for impulsive differential equations. Zbl 0901.34016
Bainov, D.; Minchev, E.; Stamova, I.
1998
Positive solutions of a superlinear first-order differential equation with delay depending on an unknown function. Zbl 0993.34062
Bainov, Drumi; Simeonov, Pavel
1998
Oscillation of sub- and superlinear impulsive differential equations with constant delay. Zbl 0879.34068
Bainov, Drumi; Dimitrova, Margarita
1997
On the oscillation properties of first-order impulsive differential equations with a deviating argument. Zbl 0880.34070
Bainov, D.; Domshlak, Yu. I.; Simeonov, P. S.
1997
Periodic boundary value problems for impulsive hyperbolic systems. Zbl 0961.35083
Bainov, D.; Minchev, E.; Myshkis, A.
1997
Oscillatory properties of the solutions of impulsive differential equations with a deviating argument and nonconstant coefficients. Zbl 0912.34059
Bainov, D. D.; Dimitrova, M. B.
1997
Almost periodic solutions of hyperbolic systems of impulsive differential equations. Zbl 0873.34008
Bainov, D. D.; Dishliev, A. B.; Stamov, G. T.
1997
Integral inequalities of Gronwall type for piecewise continuous functions. Zbl 0882.26010
Bainov, Drumi D.; Hristova, Snezhana G.
1997
Asymptotic behaviour of solutions of impulsive semilinear parabolic equations. Zbl 0905.35094
Bainov, Drumi Dimitrov; Minchev, Emil; Nakagawa, Kiyokazu
1997
The “beating” beating of solutions of impulsive functional differential equations. Zbl 0896.34011
Bainov, Drumi; Dishliev, Angel
1997
Second method of Lyapunov and comparison principle for impulsive differential-difference equations. Zbl 0883.34073
Bainov, D. D.; Stamova, I. M.
1997
Global stability of the solutions of impulsive differential-difference equations with variable impulsive perturbations. Zbl 0882.34075
Bainov, D. D.; Stamova, I. M.
1997
Stability of the notion of dichotomy of linear impulsive differential equations in a Banach space. Zbl 0916.34018
Bainov, D. D.; Kostadinov, S. I.; Zabreiko, P. P.
1997
Existence and asymptotic behavior of nonoscillatory solutions of second-order neutral differential equations with “maxima”. Zbl 0983.34060
Bainov, D. D.; Petrov, V. A.; Proytcheva, V. S.
1997
Upper estimate of the interval of existence of solutions of a nonlinear Timoshenko equation. Zbl 0876.35076
Bainov, Drumi; Minchev, Emil
1997
Second method of Lyapunov and existence of periodic solutions of linear impulsive differential-difference equations. Zbl 0870.34008
Bainov, D. D.; Stamova, I. M.
1997
Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations. Zbl 0849.34051
Hristova, S. G.; Bainov, D. D.
1996
Sturmian comparison theory for impulsive differential inequalities and equations. Zbl 0856.34033
Bainov, D. D.; Domshlak, Yu. I.; Simeonov, P. S.
1996
Forced oscillation of solutions of certain hyperbolic equations of neutral type. Zbl 0866.35130
Bainov, Drumi; Cui, Baotong; Minchev, Emil
1996
On the practical stability of the solutions of impulsive systems of differential-difference equations with variable impulsive perturbations. Zbl 0848.34058
Bainov, Drumi D.; Stamova, Ivanka M.
1996
Monotone iterative methods for impulsive hyperbolic differential-functional equations. Zbl 0855.65137
Bainov, Drumi D.; Kamont, Zdzislaw; Minchev, Emil
1996
Estimates of solutions of impulsive parabolic equations and applications to the population dynamics. Zbl 0871.35018
Bainov, Drumi; Minchev, Emil
1996
Oscillation of the solutions of impulsive parabolic equations. Zbl 0857.35007
Bainov, Drumi; Minchev, Emil
1996
Asymptotic equivalence of abstract impulsive differential equations. Zbl 0843.34051
Bainov, D. D.; Kostadinov, S. I.; Myshkis, A. D.
1996
Necessary and sufficient conditions for the existence of nonoscillatory solutions of impulsive differential equations of second order with retarded argument. Zbl 0880.34015
Bainov, Drumi; Dimitrova, Margarita; Dishliev, Angel
1996
Oscillation of solutions of impulsive nonlinear parabolic differential-difference equations. Zbl 0842.35127
Bainov, Drumi; Minchev, Emil
1996
Lipschitz quasistability of impulsive differential-difference equations with variable impulsive perturbations. Zbl 0854.34073
Bainov, D. D.; Dishliev, A. B.; Stamova, I. M.
1996
Dichotomies and almost periodicity of the solutions of systems of impulsive differential equations. Zbl 0848.34029
Bainov, D.; Myshkis, A. D.; Stamov, G. T.
1996
Approximate solutions of impulsive hyperbolic equations. Zbl 0964.35001
Bainov, Drumi; Kamont, Zdzisław; Minchev, Emil
1996
Trends in the theory of impulsive partial differential equations. Zbl 0906.35109
Bainov, Drumi; Minchev, Emil
1996
Partial averaging for impulsive differential equations with supremum. Zbl 0837.34018
Bainov, D.; Domshlak, Yu.; Milusheva, S.
1996
Sufficient conditions for the oscillation of the solutions to a class of impulsive differential equations with advanced argument. Zbl 0965.34056
Bainov, Drumi D.; Dimitrova, Margarita B.; Simeonov, Pavel S.
1996
Global stability of sets for linear impulsive differential-difference equations with variable impulsive perturbations. Zbl 0866.34007
Bainov, Drumi; Stamova, Ivanka; Vatsala, Aghalaya
1996
Initial-boundary value problems for impulsive parabolic functional differential equations. Zbl 0864.35111
Bainov, D. D.; Kamont, Z.; Minchev, E.
1996
Oscillation of nonlinear impulsive differential equations with deviating argument. Zbl 0910.34021
Bainov, D. D.; Dimitrova, M. B.
1996
Sufficient conditions for oscillations of all solutions of a class of impulsive differential equations with deviating argument. Zbl 0848.34048
Bainov, D. D.; Dimitrova, M. B.
1996
Periodic solutions of impulsive systems with delay viewed as small parameter. Zbl 0911.34010
Bainov, D. D.; Covachev, V. Chr.
1996
Application of Lyapunov’s direct method to the investigation of the stability of the solutions of impulsive differential-difference equations with variable impulsive perturbations. Zbl 0882.34017
Bainov, Drumi; Stamova, Ivanka
1996
On the stability of solutions of impulsive partial differential equations of first order. Zbl 0860.34006
Bainov, Drumi; Kamont, Zdzislaw; Minchev, Emil
1996
Blowing up of solutions to nonlinear Schrödinger equations. Zbl 0858.35115
Bainov, D.; Minchev, E.
1996
An estimate of the interval of existence of solutions of the nonlinear Kirchhoff equation. Zbl 0849.35074
Bainov, D.; Minchev, E.
1996
Impulsive differential equations. Asymptotic properties of the solutions. Zbl 0828.34002
Bainov, D. D.; Simeonov, P. S.
1995
Uniform asymptotic stability of impulsive differential-difference equations of neutral type by Lyapunov’s direct method. Zbl 0848.34057
Bainov, D. D.; Stamova, I. M.
1995
Comparison principles for impulsive hyperbolic equations of first order. Zbl 0841.35063
Bainov, Drumi D.; Kamont, Zdzislaw; Minchev, Emil
1995
Nonexistence of global solutions of the initial-boundary value problem for the nonlinear Klein-Gordon equation. Zbl 0826.35116
Bainov, D. D.; Minchev, E.
1995
Global stability of the solutions of impulsive differential-difference equations. Zbl 0833.34070
Bainov, Drumi; Kulev, Georgi; Stamova, Ivanka
1995
Monotone-iterative techniques of Lakshmikantham for a boundary value problem for systems of differential equations with maxima. Zbl 0823.34064
Bainov, D. D.; Hristova, S. G.
1995
Monotonic impulsive differential equations. Zbl 0822.34013
Bainov, D. D.; Kostadinov, S. I.; Zabreiko, P. P.
1995
Oscillatory and asymptotic properties of nonlinear first order neutral differential equations with piecewise constant argument. Zbl 0842.34070
Bainov, D.; Kostadinov, T.; Petrov, V.
1995
Asymptotic properties of the nonoscillatory solutions of second-order neutral equations with a deviating argument. Zbl 0822.34062
Bainov, D.; Petrov, V.
1995
Difference methods for impulsive differential-functional equations. Zbl 0823.65085
Bainov, Drumi D.; Kamont, Zdzislaw; Minchev, Emil
1995
Oscillating solutions of nonlinear impulsive differential equations with a deviating argument. Zbl 0901.34066
Bainov, D. D.; Dimitrova, M. B.; Dishliev, A. B.
1995
Oscillation theory of operator-differential equations. Zbl 0879.34001
Bainov, D.; Mishev, D.
1995
Periodic boundary value problem for impulsive hyperbolic partial differential equations of first order. Zbl 0830.35075
Bainov, Drumi; Kamont, Zdzisław; Minchev, Emil
1995
On the impulsive partial differential-functional inequalities. Zbl 0843.35128
Bainov, Drumi D.; Kamont, Zdzislaw; Minchev, Emil
1995
Oscillation of neutral differential equations with ”maxima”. Zbl 0836.34076
Bainov, D.; Petrov, V.; Proicheva, V.
1995
Oscillation and nonoscillation of first order neutral differential equations with maxima. Zbl 0833.34062
Bainov, Drumi; Petrov, Vasil; Proycheva, Valentina
1995
Topological classification of impulsive differential equations. Zbl 0831.34050
Bainov, D. D.; Kostadinov, S. I.; Nguyen Van Minh; Zabreiko, P. P.
1995
Oscillatory and asymptotic behavior of second order neutral differential equations with ”maxima”. Zbl 0814.34059
Bajnov, D.; Petrov, V.; Proytcheva, V.
1995
Impulsive integral inequalities with a deviation of the argument. Zbl 0820.26008
Bainov, D. D.; Hristova, S. G.
1995
Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of integro-differential equations. Zbl 0851.45006
Bainov, Drumi; Hristova, Snezhana
1995
...and 211 more Documents
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#### Cited by 2,757 Authors

 173 Chen, Lansun 127 Bainov, Drumi Dimitrov 62 Shen, Jianhua 62 Sun, Ji Tao 57 Liu, Xinzhi 44 Agarwal, Ravi P. 43 Jiao, Jianjun 42 Song, Xinyu 41 Li, Xiaodi 38 Teng, Zhi-dong 37 Meng, Xinzhu 37 Nieto Roig, Juan Jose 37 Stamova, Ivanka Milkova 37 Wang, Jinrong 36 Ge, Weigao 36 Khristova, Snezhana G. 34 Tang, Sanyi 31 Benchohra, Mouffak 30 Stamov, Gani Trendafilov 30 Wang, Peiguang 28 Ntouyas, Sotiris K. 26 O’Regan, Donal 24 Akhmet, Marat Ubaydulla 24 Dai, Binxiang 24 Luo, Zhiguo 23 Cai, Shaohong 23 Liu, Bing 22 Ouahab, Abdelghani 20 Tariboon, Jessada 20 Xu, Daoyi 20 Zafer, Ağacık 19 Ahmad, Bashir 19 Kostadinov, Stepan I. 19 Liu, Yuji 19 Zhong, Shou-Ming 18 Balachandran, Krishnan 18 Cao, Jinde 18 Yan, Jurang 17 Fu, Xilin 17 Gao, Shujing 17 Guo, Hongjian 17 Kulev, G. K. 17 Pei, Yongzhen 17 Slyn’ko, Vitalii Ivanovich 16 He, Zhimin 16 Li, Jianli 16 Meng, Fanwei 16 Nie, Linfei 16 Zhao, Zhong 15 Chen, Haibo 15 Dishliev, Angel B. 15 Han, Maoan 15 Henderson, Johnny Lee 15 Li, Weinian 15 Simeonov, Pavel Sergeev 15 Yang, Zhichun 14 Graef, John R. 14 Guo, Dajun 14 Liu, Zhijun 14 Minchev, Emil 14 Wang, Wusheng 14 Wei, Wei 14 Xia, Yonghui 14 Zhang, Shuwen 14 Zhang, Yu 13 Cui, Baotong 13 Jiang, Daqing 13 Jiang, Guirong 13 Lakshmikantham, Vangipuram 13 Li, Chuandong 13 Luo, Zhenguo 13 Shao, Yuanfu 13 Sivasundaram, Seenith 13 Wang, Weibing 13 Zabreĭko, Pëtr Petrovich 13 Zhang, Yinping 13 Zhao, Min 12 Cheke, Robert A. 12 Chen, Fengde 12 Pang, Guoping 12 Pinto, Manuel 12 Slodička, Marián 12 Wang, Guotao 12 Yu, Hengguo 12 Zhang, Tongqian 12 Zhou, Yong 11 Alzabut, Jehad O. 11 Domoshnitsky, Alexander I. 11 Dvirny, Aleksandr Ivanovich 11 Džurina, Jozef 11 Fečkan, Michal 11 Huang, Tingwen 11 Li, Changguo 11 Li, Yongfeng 11 Li, Yongkun 11 Liu, Lishan 11 Myshkis, Anatoliĭ Dmitrievich 11 Özbekler, Abdullah 11 Wu, Yonghong 11 Xiang, Xiaoling ...and 2,657 more Authors
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#### Cited in 277 Serials

 247 Applied Mathematics and Computation 176 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 171 Journal of Mathematical Analysis and Applications 146 Advances in Difference Equations 119 Computers & Mathematics with Applications 114 Chaos, Solitons and Fractals 105 Abstract and Applied Analysis 102 Journal of Computational and Applied Mathematics 79 Nonlinear Analysis. Real World Applications 65 Mathematical and Computer Modelling 64 Journal of Applied Mathematics and Computing 62 Nonlinear Analysis. Hybrid Systems 59 Applied Mathematics Letters 58 Discrete Dynamics in Nature and Society 57 Communications in Nonlinear Science and Numerical Simulation 50 Nonlinear Dynamics 44 Nonlinear Analysis. Theory, Methods & Applications 41 Journal of the Franklin Institute 38 Automatica 35 Applied Mathematical Modelling 32 Boundary Value Problems 31 International Journal of Theoretical Physics 30 Rocky Mountain Journal of Mathematics 28 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 28 Journal of Applied Mathematics 27 Mathematics and Computers in Simulation 27 Journal of Inequalities and Applications 26 International Journal of Biomathematics 25 Applicable Analysis 24 Ukrainian Mathematical Journal 21 Mathematical Methods in the Applied Sciences 20 Mathematical Problems in Engineering 19 Physics Letters. A 18 Applied Mathematics and Mechanics. (English Edition) 18 Mediterranean Journal of Mathematics 16 Systems & Control Letters 16 Acta Mathematicae Applicatae Sinica. English Series 16 International Journal of Differential Equations 14 Czechoslovak Mathematical Journal 14 Journal of Differential Equations 14 Journal of Biological Systems 13 Journal of Mathematical Sciences (New York) 13 Complexity 13 Journal of Theoretical Biology 12 Acta Applicandae Mathematicae 12 Applied Mathematics. Series B (English Edition) 11 Mathematical Biosciences 11 Zeitschrift für Analysis und ihre Anwendungen 11 Journal of Mathematical Chemistry 11 Journal of Nonlinear Science and Applications 10 International Journal of Systems Science 10 Mathematica Slovaca 10 Differential Equations and Dynamical Systems 9 Acta Mathematica Sinica. English Series 9 Journal of Systems Science and Complexity 8 Journal of Mathematical Biology 8 Journal of Optimization Theory and Applications 8 Neural Networks 8 Applications of Mathematics 8 International Journal of Nonlinear Sciences and Numerical Simulation 8 Advances in Complex Systems 8 Nonlinear Oscillations 8 Journal of Function Spaces 7 International Journal of Control 7 Journal of Mathematical Physics 7 Results in Mathematics 7 Journal of Integral Equations and Applications 7 Qualitative Theory of Dynamical Systems 7 Afrika Matematika 6 Bulletin of Mathematical Biology 6 International Journal of Mathematics and Mathematical Sciences 6 International Journal of Computer Mathematics 6 Journal of Dynamical and Control Systems 6 Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 5 Bulletin of the Australian Mathematical Society 5 Mathematical Notes 5 Numerical Functional Analysis and Optimization 5 Acta Mathematica Hungarica 5 Applied Numerical Mathematics 5 Automation and Remote Control 5 Chaos 5 Fractional Calculus & Applied Analysis 5 Arabian Journal of Mathematics 5 Journal of Applied Analysis and Computation 4 Reports on Mathematical Physics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Demonstratio Mathematica 4 Fuzzy Sets and Systems 4 Mathematische Nachrichten 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Theoretical Population Biology 4 Circuits, Systems, and Signal Processing 4 Stochastic Analysis and Applications 4 Journal of Dynamics and Differential Equations 4 International Applied Mechanics 4 Electronic Journal of Differential Equations (EJDE) 4 Computational and Applied Mathematics 4 Fixed Point Theory and Applications 4 Journal of Control Theory and Applications ...and 177 more Serials
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#### Cited in 44 Fields

 2,158 Ordinary differential equations (34-XX) 817 Biology and other natural sciences (92-XX) 484 Systems theory; control (93-XX) 281 Operator theory (47-XX) 267 Partial differential equations (35-XX) 235 Dynamical systems and ergodic theory (37-XX) 182 Integral equations (45-XX) 139 Real functions (26-XX) 133 Difference and functional equations (39-XX) 132 Numerical analysis (65-XX) 119 Probability theory and stochastic processes (60-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 55 Global analysis, analysis on manifolds (58-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Mechanics of particles and systems (70-XX) 20 Computer science (68-XX) 16 Operations research, mathematical programming (90-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of deformable solids (74-XX) 8 Quantum theory (81-XX) 7 General topology (54-XX) 6 Optics, electromagnetic theory (78-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 5 Fluid mechanics (76-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX)