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## Fečkan, Michal

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 Author ID: feckan.michal Published as: Fečkan, Michal; Fečkan, M.; Feckan, Michal; Fečkan, Michael; Fĕckan, Michal; Fěckan, Michal Homepage: https://www.mat.savba.sk/~feckan/ External Links: MGP · ORCID · Google Scholar · dblp
 Documents Indexed: 293 Publications since 1991, including 7 Books Reviewing Activity: 116 Reviews
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#### Co-Authors

 94 single-authored 81 Wang, Jinrong 30 Battelli, Flaviano 27 Zhou, Yong 24 Pospíšil, Michal 12 Rothos, Vassilis M. 10 Danca, Marius-Florin 8 Diblík, Josef 6 Dilna, Nataliya 6 Gruendler, Joseph 6 O’Regan, Donal 4 Agaoglou, Makrina 4 Chen, Guanrong 4 Guan, Yi 4 Kuznetsov, Nikolay Vladimirovich 4 Zhang, Wenlin 4 Zhao, Houyu 3 Awrejcewicz, Jan 3 Ibrahim, Ahmed Gamal 3 Li, Mengmeng 3 Liu, Shengda 3 Olejnik, Pawel 3 Shen, Dong 3 Thompson, Harold Bevan 3 Yang, Peng 3 You, Zhongli 3 Zhu, Chun 2 Aizicovici, Sergiu 2 Babajanov, Bazar Atajanovich 2 Colombo, Giovanni 2 Debbouche, Amar 2 Franca, Matteo 2 Garay, Barnabas M. 2 Kadkhoda, Nematollah 2 Kelemen, Sándor 2 Liu, Fawang 2 Luo, Dahui 2 Luo, Zijian 2 Ma, Ruyun 2 Machado, José António Tenreiro 2 Marynets, Kateryna 2 Pacuta, Julius 2 Urazboev, Gayrat U. 1 Akhmet, Marat Ubaydulla 1 Badík, Andrej 1 Boĭchuk, Oleksandr Andriĭovych 1 Cao, Xiaokai 1 de Oliveira, Edmundo Capelas 1 Dabas, Jaydev 1 Deng, Jianhua 1 Dil’naya, N. Z. 1 Ding, Yuanlin 1 Felahat, M. 1 Gupta, Vidushi 1 Hernández, Eduardo M. 1 Ivanova, Krasimira 1 Kashkynbayev, Ardak 1 Khristova, Snezhana G. 1 Kiguradze, Ivan Tarielovich 1 Kollár, Richard 1 Korostil, I. A. 1 Kumar, Avadhesh 1 Li, XueZhu 1 Liang, Chengbin 1 Liu, Kui 1 Lukovsky, Ivan Oleksandrovych 1 Machu, Hana 1 Makarov, Volodymyr Leonidovych 1 Mehmet, Onur Fen 1 Miao, Fahe 1 Muslim, Malik 1 Panagiotidou, Angeliki P. 1 Parasyuk, Igor O. 1 Perestyuk, Mykola Oleksiĭovych 1 Pickton, J. 1 Ren, Lulu 1 Romera, Miguel 1 Ronto, Andrei 1 Rozov, Nikolaĭ Khristovich 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 1 Si, Yuanchao 1 Solovyov, Mykola 1 Stanzhyts’ky, O. M. 1 Suo, Leping 1 Teplinsky, Yuriy V. 1 Thompson, Jayne 1 Tian, Ying 1 Tkachenko, Victor Ivanovich 1 Vakakis, Alexander F. 1 Vanterler da Costa Sousa, José 1 Wang, Xiaowen 1 Wei, Wei 1 Wen, Qian 1 Wu, Ranchao 1 Yang, Jian 1 Zeng, Weiyao 1 Zhuravlëv, Viktor Filippovich
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#### Serials

 18 Mathematica Slovaca 16 Journal of Differential Equations 10 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Mathematical Analysis and Applications 9 Proceedings of the American Mathematical Society 9 Electronic Journal of Qualitative Theory of Differential Equations 8 Miskolc Mathematical Notes 7 Dynamics of Partial Differential Equations 7 Nonlinear Analysis. Theory, Methods & Applications 6 Applied Mathematics and Computation 6 Commentationes Mathematicae Universitatis Carolinae 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Monatshefte für Mathematik 5 Journal of Difference Equations and Applications 5 Nonlinear Dynamics 4 Applicable Analysis 4 Computers & Mathematics with Applications 4 Mathematical Methods in the Applied Sciences 4 Annales Polonici Mathematici 4 Applications of Mathematics 4 Journal of Dynamics and Differential Equations 4 Bulletin of the Belgian Mathematical Society - Simon Stevin 4 Bulletin des Sciences Mathématiques 4 Communications in Mathematical Analysis 4 Journal of Applied Mathematics, Statistics and Informatics 3 Ukrainian Mathematical Journal 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Computational and Applied Mathematics 3 Journal of Optimization Theory and Applications 3 Differential and Integral Equations 3 Mathematica Bohemica 3 Electronic Journal of Differential Equations (EJDE) 3 Discrete and Continuous Dynamical Systems 3 Differential Equations and Dynamical Systems 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 3 Nonautonomous Dynamical Systems 2 Funkcialaj Ekvacioj. Serio Internacia 2 Applied Mathematics Letters 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Topological Methods in Nonlinear Analysis 2 Opuscula Mathematica 2 Fractional Calculus & Applied Analysis 2 Nonlinear Analysis. Modelling and Control 2 Discrete and Continuous Dynamical Systems. Series B 2 Advanced Nonlinear Studies 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Fractional Calculus in Applied Sciences and Engineering 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Nonlinearity 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Wave Motion 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archivum Mathematicum 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Optimization 1 Dynamic Systems and Applications 1 Applied Mathematical Modelling 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 International Journal of Robust and Nonlinear Control 1 Journal of Mathematical Sciences (New York) 1 Advances in Differential Equations 1 Nonlinear Studies 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Journal of Vibration and Control 1 Mathematical Communications 1 Abstract and Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Neliniĭni Kolyvannya 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Acta Mathematica Sinica. English Series 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Mathematical Notes (Miskolc) 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Fixed Point Theory 1 World Scientific Series on Nonlinear Science. Series A 1 International Journal of Dynamical Systems and Differential Equations 1 Differential Equations and Applications 1 Axioms 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Discontinuity, Nonlinearity, and Complexity 1 Mathematics 1 Nonlinear Physical Science 1 Handbook of Differential Equations
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#### Fields

 194 Ordinary differential equations (34-XX) 84 Dynamical systems and ergodic theory (37-XX) 43 Operator theory (47-XX) 41 Partial differential equations (35-XX) 21 Difference and functional equations (39-XX) 21 Systems theory; control (93-XX) 19 Real functions (26-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Numerical analysis (65-XX) 10 Integral equations (45-XX) 10 Mechanics of deformable solids (74-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Fluid mechanics (76-XX) 4 Geophysics (86-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

198 Publications have been cited 1,813 times in 1,070 Documents Cited by Year
On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277
Fečkan, Michal; Zhou, Yong; Wang, Jinrong
2012
On the new concept of solutions and existence results for impulsive fractional evolution equations. Zbl 1264.34014
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2011
Ulam’s type stability of impulsive ordinary differential equations. Zbl 1254.34022
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2012
Nonlinear impulsive problems for fractional differential equations and Ulam stability. Zbl 1268.34033
Wang, JinRong; Zhou, Yong; Fečkan, Michal
2012
A survey on impulsive fractional differential equations. Zbl 1344.35169
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2016
On recent developments in the theory of boundary value problems for impulsive fractional differential equations. Zbl 1268.34032
Wang, JinRong; Zhou, Yong; Fečkan, Michal
2012
Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces. Zbl 1338.34027
Wang, JinRong; Ibrahim, Ahmed Gamal; Fečkan, Michal
2015
Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators. Zbl 1263.93031
Fečkan, Michal; Wang, JinRong; Zhou, Yong
2013
Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034
Wang, Jinrong; Zhou, Yong; Feckan, Michal
2013
A general class of impulsive evolution equations. Zbl 1381.34081
Wang, JinRong; Fečkan, Michal
2015
Relaxed controls for nonlinear fractional impulsive evolution equations. Zbl 1263.49038
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2013
Hermite-Hadamard-type inequalities for Riemann-Liouville fractional integrals via two kinds of convexity. Zbl 1285.26013
Wang, Jin Rong; Li, Xuezhu; Fečkan, Michal; Zhou, Yong
2013
Controllability of Sobolev type fractional evolution systems. Zbl 1314.47117
Wang, Jinrong; Fĕckan, Michal; Zhou, Yong
2014
Fractional order differential switched systems with coupled nonlocal initial and impulsive conditions. Zbl 1387.34012
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2017
Stability analysis for a general class of non-instantaneous impulsive differential equations. Zbl 1373.34031
Wang, JinRong; Fečkan, Michal; Tian, Ying
2017
Nonexistence of periodic solutions and asymptotically periodic solutions for fractional differential equations. Zbl 1253.35204
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2013
Periodic solutions for nonlinear evolution equations with non-instantaneous impulses. Zbl 1311.34094
Fečkan, Michal; Wang, JinRong; Zhou, Yong
2014
Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices. Zbl 1283.34057
Diblík, J.; Fečkan, M.; Pospíšil, M.
2013
Bifurcation and chaos near sliding homoclinics. Zbl 1196.34054
Battelli, Flaviano; Fečkan, Michal
2010
On the new control functions for linear discrete delay systems. Zbl 1295.93008
Diblík, J.; Fečkan, M.; Pospíšil, M.
2014
Homoclinic trajectories in discontinuous systems. Zbl 1162.34028
Battelli, Flaviano; Fečkan, Michal
2008
Travelling waves in Hamiltonian systems on 2D lattices with nearest neighbour interactions. Zbl 1133.34037
Fečkan, Michal; Rothos, Vassilis M.
2007
Bifurcation and chaos in discontinuous and continuous systems. Zbl 1234.37002
Fečkan, Michal
2011
Hermite-Hadamard-type inequalities for $$r$$-convex functions based on the use of Riemann-Liouville fractional integrals. Zbl 1280.26044
Wang, J.; Deng, J.; Fečkan, M.
2013
Topological degree approach to bifurcation problems. Zbl 1153.37028
Fečkan, Michal
2008
On a certain type of functional differential equations. Zbl 0789.34036
Fečkan, Michal
1993
On the nonlocal Cauchy problem for semilinear fractional order evolution equations. Zbl 1296.26035
Wang, JinRong; Zhou, Yong; Fečkan, Michal
2014
Center stable manifold for planar fractional damped equations. Zbl 1411.34021
Wang, JinRong; Fĕckan, Michal; Zhou, Yong
2017
Singularly perturbed higher order boundary value problems. Zbl 0807.34068
Fečkan, Michal
1994
On the chaotic behaviour of discontinuous systems. Zbl 1234.34029
Battelli, Flaviano; Fečkan, Michal
2011
Approximate controllability of Sobolev type fractional evolution systems with nonlocal conditions. Zbl 06744040
Wang, Jinrong; Fečkan, Michal; Zhou, Yong
2017
On continuous approximation of discontinuous systems. Zbl 1136.34302
Awrejcewicz, Jan; Fečkan, Michal; Olejnik, Pawel
2005
On the stability of first order impulsive evolution equations. Zbl 1331.34126
Wang, Jinrong; Fečkan, Michal; Zhou, Yong
2014
Subharmonic solutions in singular systems. Zbl 0887.34029
Battelli, Flaviano; Fečkan, Michal
1996
Looking more closely at the Rabinovich-Fabrikant system. Zbl 1334.34033
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay; Chen, Guanrong
2016
Free vibrations of beams on bearings with nonlinear elastic responses. Zbl 0927.35071
Fečkan, Michal
1999
Periodic solutions of certain abstract wave equations. Zbl 0810.35063
Fečkan, Michal
1995
Travelling waves of discrete nonlinear Schrödinger equations with nonlocal interactions. Zbl 1215.34010
Fečkan, Michal; Rothos, Vassilis M.
2010
Iterative learning control with pulse compensation for fractional differential systems. Zbl 1441.93116
Liu, Shengda; Wang, Jinrong; Zhou, Yong; Fečkan, Michal
2018
Parametrized singularly perturbed boundary value problems. Zbl 0812.34020
Fečkan, Michal
1994
Nonnegative solutions of nonlinear integral equations. Zbl 0840.45007
Fečkan, Michal
1995
Nonexistence of periodic solutions and $$S$$-asymptotically periodic solutions in fractional difference equations. Zbl 1338.39026
Diblík, J.; Fečkan, M.; Pospíšil, M.
2015
Chaos in singular impulsive O. D. E. Zbl 0919.34016
Battelli, Flaviano; Fečkan, Michal
1997
On the bifurcation of periodic orbits in discontinuous systems. Zbl 1213.34018
Fečkan, Michal; Pospíšil, Michal
2010
Bifurcations of planar sliding homoclinics. Zbl 1200.70021
Awrejcewicz, Jan; Fečkan, Michal; Olejnik, Pawel
2006
Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system. Zbl 1392.34005
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong
2018
Bifurcation from degenerate homoclinics in periodically forced systems. Zbl 0980.34042
Fečkan, Michal
1999
Fractional integral inequalities for differentiable convex mappings and applications to special means and a midpoint formula. Zbl 1277.26014
Zhu, Chun; Fečkan, Michal; Wang, Jinrong
2012
Stability analysis of impulsive fractional-order systems by vector comparison principle. Zbl 1348.34043
Wu, Ranchao; Fečkan, Michal
2015
Fractional order iterative functional differential equations with parameter. Zbl 1305.34134
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2013
Alternative results and robustness for fractional evolution equations with periodic boundary conditions. Zbl 1340.34207
Wang, JinRong; Zhou, Yong; Feckan, Michal
2011
Generalized form of Parrondo’s paradoxical game with applications to chaos control. Zbl 1284.37062
Danca, Marius-F.; Fečkan, Michal; Romera, Miguel
2014
A generalization of Bendixson’s criterion. Zbl 0977.34042
Feckan, Michal
2001
Existence results for implicit differential equations. Zbl 0942.34005
Fečkan, Michal
1998
Bifurcation from homoclinic to periodic solutions in singular ordinary differential equations. Zbl 1065.34031
Fečkan, Michal; Gruendler, Joseph
2000
Bifurcation of periodic solutions in differential inclusions. Zbl 0903.34036
Fečkan, Michal
1997
Melnikov theory for nonlinear implicit ODEs. Zbl 1293.34015
Battelli, Flaviano; Fečkan, Michal
2014
Relative controllability of semilinear delay differential systems with linear parts defined by permutable matrices. Zbl 1380.93062
Wang, JinRong; Luo, Zijian; Fečkan, Michal
2017
The relation between a flow and its discretization. Zbl 0753.34029
Fečkan, Michal
1992
Bifurcation from family of periodic orbits in discontinuous autonomous systems. Zbl 1258.34076
Fečkan, Michal; Pospíšil, Michal
2012
Bifurcation of sliding periodic orbits in periodically forced discontinuous systems. Zbl 1263.34053
Fečkan, Michal; Pospíšil, Michal
2013
Asymptotic behavior of stable manifolds. Zbl 0727.58029
Fečkan, Michal
1991
Periodic nonautonomous differential equations with noninstantaneous impulsive effects. Zbl 1421.34012
Yang, Peng; Wang, Jinrong; Fečkan, Michal
2019
Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval. Zbl 1296.45004
Wang, JinRong; Zhu, Chun; Fečkan, Michal
2014
Bifurcation of periodic and chaotic solutions in discontinuous systems. Zbl 0914.34039
Fečkan, Michal
1998
Chaotic solutions in differential inclusions: chaos in dry friction problems. Zbl 0921.34016
Fěckan, Michal
1999
Nielsen fixed point theory and nonlinear equations. Zbl 0839.47041
Fečkan, Michal
1993
Exploring $$s$$-e-condition and applications to some Ostrowski type inequalities via Hadamard fractional integrals. Zbl 1349.26021
Wang, JinRong; Deng, JianHua; Fečkan, Michal
2014
Analysis of Abel-type nonlinear integral equations with weakly singular kernels. Zbl 1303.45003
Wang, Jinrong; Zhu, Chun; Fečkan, Michal
2014
Fractional-order PWC systems without zero Lyapunov exponents. Zbl 1398.37028
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong
2018
Bifurcation of heteroclinic orbits for diffeomorphisms. Zbl 0748.58022
Fečkan, Michal
1991
Chaos in nonautonomous differential inclusions. Zbl 1092.34506
Fečkan, Michal
2005
Kink-like periodic travelling waves for lattice equations with on-site and inter-site potentials. Zbl 1108.34037
Fečkan, Michal; Rothos, Vassilis
2005
An example of chaotic behaviour in presence of a sliding homoclinic orbit. Zbl 1206.34061
Battelli, Flaviano; Fečkan, Michal
2010
Travelling waves of forced discrete nonlinear Schrödinger equations. Zbl 1237.34012
Fečkan, Michal; Rothos, Vassilis M.
2011
Periodic travelling waves of forced FPU lattices. Zbl 1295.35166
Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H.
2013
Travelling waves in nonlinear magnetic metamaterials. Zbl 1327.82096
Diblík, J.; Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H.
2014
Applying fractional calculus to analyze economic growth modelling. Zbl 06914181
Luo, D.; Wang, J. R.; Fečkan, M.
2018
Asymptotically periodic solutions for Caputo type fractional evolution equations. Zbl 1426.34020
Ren, Lulu; Wang, JinRong; Fečkan, Michal
2019
Modeling, analysis and control of dynamical systems: with friction and impacts. Zbl 1378.93004
Olejnik, Paweł; Awrejcewicz, Jan; Fečkan, Michal
2018
The existence of chaos in infinite dimensional non-resonant systems. Zbl 1189.34110
Feckan, Michal; Gruendler, Joseph
2008
Periodic solutions in systems at resonances with small relay hysteresis. Zbl 1047.34011
Fečkan, Michal
1999
Higher dimensional Melnikov mappings. Zbl 0947.37010
Fečkan, Michal
1999
Chaos arising near a topologically transversal homoclinic set. Zbl 1028.37017
Battelli, Flaviano; Fečkan, Michal
2002
On the existence of solutions connecting singularities in nonlinear RLC circuits. Zbl 1318.34013
Battelli, Flaviano; Fečkan, Michal
2015
Nonlinear RLC circuits and implicit ODEs. Zbl 1340.34044
Battelli, Flaviano; Fečkan, Michal
2014
Note on fractional difference Gronwall inequalities. Zbl 1324.39025
Fečkan, Michal; Pospíšil, Michal
2014
A new method to study ILC problem for time-delay linear systems. Zbl 1422.93102
Luo, Zijian; Fečkan, Michal; Wang, JinRong
2017
Poincaré-Andronov-Melnikov analysis for non-smooth systems. Zbl 1425.37001
Fečkan, Michal; Pospíšil, Michal
2016
Some remarks on the Melnikov function. Zbl 1002.34034
Battelli, Flaviano; Fečkan, Michal
2002
Chaos in forced impact systems. Zbl 1266.34074
Battelli, Flaviano; Fečkan, Michal
2013
Melnikov functions for singularly perturbed ordinary differential equations. Zbl 0765.34035
Fečkan, Michal
1992
A symmetry theorem for variational problems. Zbl 0725.47013
Fečkan, Michal
1991
Fractional-order equations and inclusions. Zbl 06766387
Fečkan, Michal; Wang, JinRong; Pospíšil, Michal
2017
Note on weakly fractional differential equations. Zbl 1459.34016
Fečkan, Michal; Pospíšil, Michal; Wang, JinRong
2019
Periodic impulsive fractional differential equations. Zbl 1418.34010
Fečkan, Michal; Wang, Jin Rong
2019
Time optimal control of a system governed by non-instantaneous impulsive differential equations. Zbl 1421.49006
Wang, JinRong; Fečkan, Michal; Debbouche, Amar
2019
Relative controllability of fractional delay differential equations via delayed perturbation of Mittag-Leffler functions. Zbl 1443.93037
You, Zhongli; Fečkan, Michal; Wang, JinRong
2020
Periodic solutions for a class of differential equation with delays depending on state. Zbl 1454.34101
Zhao, Hou Yu; Fečkan, Michal
2018
Homoclinic-Hopf interaction: An autoparametric bifurcation. Zbl 0966.34037
Fečkan, M.; Gruendler, J.
2000
Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows. Zbl 1467.34043
Guan, Yi; Fečkan, Michal; Wang, Jinrong
2021
Relative controllability of fractional delay differential equations via delayed perturbation of Mittag-Leffler functions. Zbl 1443.93037
You, Zhongli; Fečkan, Michal; Wang, JinRong
2020
Existence and uniqueness results for a second order differential equation for the ocean flow in arctic gyres. Zbl 1448.34105
Zhang, Wenlin; Wang, JinRong; Fečkan, Michal
2020
Controllability of conformable differential systems. Zbl 07249222
Wang, Xiaowen; Wang, Jinrong; Fečkan, Michal
2020
Positive solutions to integral boundary value problems from geophysical fluid flows. Zbl 07261851
Zhang, Wenlin; Fečkan, Michal; Wang, JinRong
2020
Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows. Zbl 1453.34027
Fečkan, Michal; Guan, Yi; O&rsquo;Regan, Donal; Wang, JinRong
2020
Dynamics of a discrete nonlinear prey-predator model. Zbl 1442.37106
Wang, JinRong; Fečkan, Michal
2020
Existence and uniqueness of $$(\omega,c)$$-periodic solutions of semilinear evolution equations. Zbl 1441.35145
Agaoglou, Makrina; Fečkan, Michal; Panagiotidou, Angeliki P.
2020
Periodic nonautonomous differential equations with noninstantaneous impulsive effects. Zbl 1421.34012
Yang, Peng; Wang, Jinrong; Fečkan, Michal
2019
Asymptotically periodic solutions for Caputo type fractional evolution equations. Zbl 1426.34020
Ren, Lulu; Wang, JinRong; Fečkan, Michal
2019
Note on weakly fractional differential equations. Zbl 1459.34016
Fečkan, Michal; Pospíšil, Michal; Wang, JinRong
2019
Periodic impulsive fractional differential equations. Zbl 1418.34010
Fečkan, Michal; Wang, Jin Rong
2019
Time optimal control of a system governed by non-instantaneous impulsive differential equations. Zbl 1421.49006
Wang, JinRong; Fečkan, Michal; Debbouche, Amar
2019
Hidden chaotic attractors and chaos suppression in an impulsive discrete economical supply and demand dynamical system. Zbl 1464.39014
Danca, Marius-F.; Fečkan, Michal
2019
Periodic boundary value problems for higher-order fractional differential systems. Zbl 1434.34009
Fečkan, Michal; Marynets, Kateryna; Wang, Jinrong
2019
Iterative learning control for fractional-order multi-agent systems. Zbl 1416.93010
Luo, Dahui; Wang, JinRong; Shen, Dong; Fečkan, Michal
2019
Periodic solutions and stability of linear evolution equations with noninstantaneous impulses. Zbl 1463.34251
Wang, JinRong; Fečkan, Michal
2019
A survey on the Melnikov theory for implicit ordinary differential equations with applications to RLC circuits. Zbl 1430.34012
Fečkan, Michal
2019
Iterative learning control with pulse compensation for fractional differential systems. Zbl 1441.93116
Liu, Shengda; Wang, Jinrong; Zhou, Yong; Fečkan, Michal
2018
Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system. Zbl 1392.34005
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong
2018
Fractional-order PWC systems without zero Lyapunov exponents. Zbl 1398.37028
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong
2018
Applying fractional calculus to analyze economic growth modelling. Zbl 06914181
Luo, D.; Wang, J. R.; Fečkan, M.
2018
Modeling, analysis and control of dynamical systems: with friction and impacts. Zbl 1378.93004
Olejnik, Paweł; Awrejcewicz, Jan; Fečkan, Michal
2018
Periodic solutions for a class of differential equation with delays depending on state. Zbl 1454.34101
Zhao, Hou Yu; Fečkan, Michal
2018
$$(\omega,c)$$-periodic solutions for impulsive differential systems. Zbl 1410.34049
Li, Mengmeng; Wang, Jinrong; Feckan, Michal
2018
Approximation approach to periodic BVP for mixed fractional differential systems. Zbl 1388.34006
Fečkan, Michal; Marynets, Kateryna
2018
Note on periodic solutions of fractional differential equations. Zbl 1407.34009
Fečkan, Michal
2018
A study on ILC for linear discrete systems with single delay. Zbl 1426.39002
Liang, Chengbin; Wang, Jinrong; Fečkan, Michal
2018
Convergence characteristics of PD-type and PDD$$^\alpha$$-type iterative learning control for impulsive differential systems with unknown initial states. Zbl 1400.93125
Wang, Jinrong; Fečkan, Michal; Liu, Shengda
2018
Wang, JinRong; Fečkan, Michal
2018
Existence results of solutions for impulsive fractional differential equations. Zbl 1394.45007
Gupta, Vidushi; Dabas, Jaydev; Fečkan, Michal
2018
Fractional order differential switched systems with coupled nonlocal initial and impulsive conditions. Zbl 1387.34012
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2017
Stability analysis for a general class of non-instantaneous impulsive differential equations. Zbl 1373.34031
Wang, JinRong; Fečkan, Michal; Tian, Ying
2017
Center stable manifold for planar fractional damped equations. Zbl 1411.34021
Wang, JinRong; Fĕckan, Michal; Zhou, Yong
2017
Approximate controllability of Sobolev type fractional evolution systems with nonlocal conditions. Zbl 06744040
Wang, Jinrong; Fečkan, Michal; Zhou, Yong
2017
Relative controllability of semilinear delay differential systems with linear parts defined by permutable matrices. Zbl 1380.93062
Wang, JinRong; Luo, Zijian; Fečkan, Michal
2017
A new method to study ILC problem for time-delay linear systems. Zbl 1422.93102
Luo, Zijian; Fečkan, Michal; Wang, JinRong
2017
Fractional-order equations and inclusions. Zbl 06766387
Fečkan, Michal; Wang, JinRong; Pospíšil, Michal
2017
Pseudo almost periodic solutions of an iterative equation with variable coefficients. Zbl 1413.34226
Zhao, Hou Yu; Fečkan, Michal
2017
On the existence of solutions connecting IK singularities and impasse points in fully nonlinear RLC circuits. Zbl 1368.34019
Battelli, Flaviano; Fečkan, Michal
2017
Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials. Zbl 1367.34088
Fečkan, M.; Pospíšil, M.; Susanto, H.
2017
Periodic solutions to second order nonlinear differential equations with non-instantaneous impulses. Zbl 1409.34039
Muslim, Malik; Kumar, Avadhesh; Fečkan, Michal
2017
Mixed order fractional differential equations. Zbl 1393.34014
Fečkan, Michal; Wang, JinRong
2017
Practical Ulam-Hyers-Rassias stability for nonlinear equations. Zbl 1438.47098
Wang, Jin Rong; Fečkan, Michal
2017
A survey on impulsive fractional differential equations. Zbl 1344.35169
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2016
Looking more closely at the Rabinovich-Fabrikant system. Zbl 1334.34033
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay; Chen, Guanrong
2016
Poincaré-Andronov-Melnikov analysis for non-smooth systems. Zbl 1425.37001
Fečkan, Michal; Pospíšil, Michal
2016
Note on a parameter Switching method for nonlinear ODEs. Zbl 1374.34039
Danca, Marius-F.; Fečkan, Michal
2016
Travelling waves in nonlinear magneto-inductive lattices. Zbl 1341.34073
Agaoglou, M.; Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H.
2016
Random noninstantaneous impulsive models for studying periodic evolution processes in pharmacotherapy. Zbl 1419.34133
Wang, Jinrong; Fečkan, Michal; Zhou, Yong
2016
Blue sky-like catastrophe for reversible nonlinear implicit ODEs. Zbl 1357.34022
Battelli, Flaviano; Fečkan, Michal
2016
Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces. Zbl 1338.34027
Wang, JinRong; Ibrahim, Ahmed Gamal; Fečkan, Michal
2015
A general class of impulsive evolution equations. Zbl 1381.34081
Wang, JinRong; Fečkan, Michal
2015
Nonexistence of periodic solutions and $$S$$-asymptotically periodic solutions in fractional difference equations. Zbl 1338.39026
Diblík, J.; Fečkan, M.; Pospíšil, M.
2015
Stability analysis of impulsive fractional-order systems by vector comparison principle. Zbl 1348.34043
Wu, Ranchao; Fečkan, Michal
2015
On the existence of solutions connecting singularities in nonlinear RLC circuits. Zbl 1318.34013
Battelli, Flaviano; Fečkan, Michal
2015
Nonlocal Cauchy problems for semilinear differential inclusions with fractional order in Banach spaces. Zbl 1457.34016
Wang, JinRong; Ibrahim, A. G.; Fečkan, Michal
2015
On the periodic Toda lattice with a self-consistent source. Zbl 1329.37062
Babajanov, Bazar; Fečkan, Michal; Urazboev, Gayrat
2015
Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss. Zbl 1347.35213
Battelli, F.; Diblík, J.; Fečkan, M.; Pickton, J.; Pospíšil, M.; Susanto, H.
2015
Controllability of Sobolev type fractional evolution systems. Zbl 1314.47117
Wang, Jinrong; Fĕckan, Michal; Zhou, Yong
2014
Periodic solutions for nonlinear evolution equations with non-instantaneous impulses. Zbl 1311.34094
Fečkan, Michal; Wang, JinRong; Zhou, Yong
2014
On the new control functions for linear discrete delay systems. Zbl 1295.93008
Diblík, J.; Fečkan, M.; Pospíšil, M.
2014
On the nonlocal Cauchy problem for semilinear fractional order evolution equations. Zbl 1296.26035
Wang, JinRong; Zhou, Yong; Fečkan, Michal
2014
On the stability of first order impulsive evolution equations. Zbl 1331.34126
Wang, Jinrong; Fečkan, Michal; Zhou, Yong
2014
Generalized form of Parrondo’s paradoxical game with applications to chaos control. Zbl 1284.37062
Danca, Marius-F.; Fečkan, Michal; Romera, Miguel
2014
Melnikov theory for nonlinear implicit ODEs. Zbl 1293.34015
Battelli, Flaviano; Fečkan, Michal
2014
Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval. Zbl 1296.45004
Wang, JinRong; Zhu, Chun; Fečkan, Michal
2014
Exploring $$s$$-e-condition and applications to some Ostrowski type inequalities via Hadamard fractional integrals. Zbl 1349.26021
Wang, JinRong; Deng, JianHua; Fečkan, Michal
2014
Analysis of Abel-type nonlinear integral equations with weakly singular kernels. Zbl 1303.45003
Wang, Jinrong; Zhu, Chun; Fečkan, Michal
2014
Travelling waves in nonlinear magnetic metamaterials. Zbl 1327.82096
Diblík, J.; Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H.
2014
Nonlinear RLC circuits and implicit ODEs. Zbl 1340.34044
Battelli, Flaviano; Fečkan, Michal
2014
Note on fractional difference Gronwall inequalities. Zbl 1324.39025
Fečkan, Michal; Pospíšil, Michal
2014
Melnikov theory for weakly coupled nonlinear RLC circuits. Zbl 1315.34018
Battelli, Flaviano; Fečkan, Michal
2014
Ulam-Hyers-Rassias stability for semilinear equations. Zbl 1326.39025
Wang, Jinrong; Fečkan, Michal
2014
Response to “Comments on the concept of existence of solution for impulsive fractional differential equations”. Zbl 07175210
Fečkan, Michal; Zhou, Yong; Wang, JinRong
2014
Persistence of periodic orbits in periodically forced impact systems. Zbl 1324.34085
Fečkan, Michal; Pospíšil, Michal
2014
Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators. Zbl 1263.93031
Fečkan, Michal; Wang, JinRong; Zhou, Yong
2013
Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034
Wang, Jinrong; Zhou, Yong; Feckan, Michal
2013
Relaxed controls for nonlinear fractional impulsive evolution equations. Zbl 1263.49038
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2013
Hermite-Hadamard-type inequalities for Riemann-Liouville fractional integrals via two kinds of convexity. Zbl 1285.26013
Wang, Jin Rong; Li, Xuezhu; Fečkan, Michal; Zhou, Yong
2013
Nonexistence of periodic solutions and asymptotically periodic solutions for fractional differential equations. Zbl 1253.35204
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2013
Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices. Zbl 1283.34057
Diblík, J.; Fečkan, M.; Pospíšil, M.
2013
Hermite-Hadamard-type inequalities for $$r$$-convex functions based on the use of Riemann-Liouville fractional integrals. Zbl 1280.26044
Wang, J.; Deng, J.; Fečkan, M.
2013
Fractional order iterative functional differential equations with parameter. Zbl 1305.34134
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2013
Bifurcation of sliding periodic orbits in periodically forced discontinuous systems. Zbl 1263.34053
Fečkan, Michal; Pospíšil, Michal
2013
Periodic travelling waves of forced FPU lattices. Zbl 1295.35166
Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H.
2013
Chaos in forced impact systems. Zbl 1266.34074
Battelli, Flaviano; Fečkan, Michal
2013
Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices. Zbl 1277.34093
Diblík, Josef; Fečkan, Michal; Pospíšil, Michal
2013
Bifurcation from single periodic orbit in discontinuous autonomous systems. Zbl 1285.34027
Fečkan, Michal; Pospíšil, Michal
2013
Fast-slow dynamical approximation of forced impact systems near periodic solutions. Zbl 1296.34093
Battelli, Flaviano; Fečkan, Michal
2013
Discretization of dynamical systems with first integrals. Zbl 1290.34018
Fečkan, Michal; Pospíšil, Michal
2013
Forced Fermi-Pasta-Ulam lattice maps. Zbl 1299.34232
Diblík, J.; Fečkan, M.; Pospíšil, M.
2013
On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277
Fečkan, Michal; Zhou, Yong; Wang, Jinrong
2012
Ulam’s type stability of impulsive ordinary differential equations. Zbl 1254.34022
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2012
Nonlinear impulsive problems for fractional differential equations and Ulam stability. Zbl 1268.34033
Wang, JinRong; Zhou, Yong; Fečkan, Michal
2012
On recent developments in the theory of boundary value problems for impulsive fractional differential equations. Zbl 1268.34032
Wang, JinRong; Zhou, Yong; Fečkan, Michal
2012
Fractional integral inequalities for differentiable convex mappings and applications to special means and a midpoint formula. Zbl 1277.26014
Zhu, Chun; Fečkan, Michal; Wang, Jinrong
2012
Bifurcation from family of periodic orbits in discontinuous autonomous systems. Zbl 1258.34076
Fečkan, Michal; Pospíšil, Michal
2012
Nonlocal Cauchy problems for fractional evolution equations involving Volterra-Fredholm type integral operators. Zbl 1265.26015
Wang, Jinrong; Wei, Wei; Fečkan, Michal
2012
Inflated deterministic chaos and Smale’s horseshoe. Zbl 1246.37057
Colombo, Giovanni; Fečkan, Michal; Garay, Barnabas M.
2012
...and 98 more Documents
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#### Cited by 1,197 Authors

 121 Wang, Jinrong 104 Fečkan, Michal 42 O’Regan, Donal 30 Zhou, Yong 29 Ahmad, Bashir 19 Agarwal, Ravi P. 18 Li, Yongxiang 17 Battelli, Flaviano 16 Gou, Haide 16 Nieto Roig, Juan Jose 16 Shah, Kamal 16 Zada, Akbar 15 Pospíšil, Michal 14 Băleanu, Dumitru I. 14 Benchohra, Mouffak 14 Ntouyas, Sotiris K. 13 Al-saedi, Ahmed Eid Salem 13 Debbouche, Amar 13 Jiang, Wei 13 Pandey, Dwijendra Narain 12 Chen, Pengyu 12 Ibrahim, Ahmed Gamal 12 Khristova, Snezhana G. 11 Zhang, Xuping 10 Abbas, Said 10 Diblík, Josef 10 Du, Zhengdong 10 Kuznetsov, Nikolay Vladimirovich 10 Liu, Zhenhai 10 Zhu, Changrong 9 Chadha, Alka 9 Li, Baolin 9 Malik, Muslim 9 Wei, Wei 9 Zhang, Wei 9 Zhao, Yulin 8 Dabas, Jaydev 8 Danca, Marius-Florin 8 Li, Mengmeng 8 Li, Shuangbao 8 Li, XueZhu 8 Liu, Shengda 8 Luo, Zijian 8 Mahmudov, Nazim Idrisoglu 8 Zhang, Yuruo 8 Zhou, Xianfeng 7 Akhmet, Marat Ubaydulla 7 Du, Tingsong 7 Rothos, Vassilis M. 7 Stamova, Ivanka Milkova 7 Tariboon, Jessada 7 Vanterler da Costa Sousa, José 7 Zhai, Chengbo 7 Zhang, Xinguang 6 Bak, Sergiy Mykolayovych 6 Chang, Yong-Kui 6 Cui, Yujun 6 Hao, Yuxin 6 Kumar, Vipin 6 Li, Yongjin 6 Liu, Song 6 Liu, Xianghu 6 Liu, Yuji 6 Niazi, Azmat Ullah Khan 6 Shen, Dong 6 Stamov, Gani Trendafilov 6 Wu, Yonghong 6 Yu, Xiulan 6 Zhang, Weinian 5 Andres, Jan 5 Awan, Muhammad Uzair 5 Cao, Jinde 5 de Oliveira, Edmundo Capelas 5 Chen, Guanrong 5 Chen, Haibo 5 Deng, Jianhua 5 Fan, Zhenbin 5 Fu, Xi 5 Gupta, Vidushi 5 Jiang, Jiqiang 5 Khan, Rahmat Ali 5 Kumar, Avadhesh 5 Li, Gang 5 Liang, Feng 5 Lin, Zeng 5 Liu, Lishan 5 Losada, Jorge 5 Lv, Jingyun 5 Ponce, Rodrigo F. 5 Qin, Haiyong 5 Wu, Guocheng 5 You, Zhongli 4 Abbas, Syed 4 Abdeljawad, Thabet 4 Alsarori, Nawal A. 4 Amiraliyev, Gabil M. 4 Aqlan, Mohammed Ha 4 Bai, Zhanbing 4 Bin, Maojun 4 Chalishajar, Dimplekumar N. ...and 1,097 more Authors
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#### Cited in 212 Serials

 99 Advances in Difference Equations 54 Applied Mathematics and Computation 38 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 31 Abstract and Applied Analysis 29 Applied Mathematics Letters 27 Nonlinear Dynamics 26 Journal of Differential Equations 22 Journal of Mathematical Analysis and Applications 22 Fractional Calculus & Applied Analysis 21 Computers & Mathematics with Applications 21 Mediterranean Journal of Mathematics 19 Journal of Computational and Applied Mathematics 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Journal of Applied Mathematics and Computing 18 Boundary Value Problems 17 Mathematical Problems in Engineering 17 Journal of Function Spaces 15 Mathematica Slovaca 15 International Journal of Nonlinear Sciences and Numerical Simulation 14 Journal of Inequalities and Applications 13 Chaos, Solitons and Fractals 12 Journal of the Franklin Institute 12 Communications in Nonlinear Science and Numerical Simulation 11 Journal of Nonlinear Science and Applications 10 Discrete Dynamics in Nature and Society 9 Applicable Analysis 9 Journal of Dynamics and Differential Equations 9 Nonlinear Analysis. Modelling and Control 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Mathematical Methods in the Applied Sciences 8 Journal of Optimization Theory and Applications 8 Journal of Applied Analysis and Computation 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Fractional Differential Calculus 6 Optimization 6 Journal of Mathematical Sciences (New York) 6 Electronic Journal of Differential Equations (EJDE) 6 Journal of Difference Equations and Applications 6 Differential Equations and Dynamical Systems 6 Qualitative Theory of Dynamical Systems 6 Nonlinear Analysis. Theory, Methods & Applications 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Numerical Functional Analysis and Optimization 5 Chaos 5 Journal of Fixed Point Theory and Applications 5 Nonlinear Analysis. Hybrid Systems 5 International Journal of Differential Equations 5 Nonautonomous Dynamical Systems 5 International Journal of Applied and Computational Mathematics 4 International Journal of Control 4 Journal of Mathematical Physics 4 Collectanea Mathematica 4 Demonstratio Mathematica 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Results in Mathematics 4 Journal of Integral Equations and Applications 4 Applied Mathematical Modelling 4 Computational and Applied Mathematics 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Journal of Dynamical and Control Systems 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics 4 Journal of Mathematical Inequalities 4 Journal of Pseudo-Differential Operators and Applications 4 Journal of Mathematics 4 Mathematics 4 Open Mathematics 3 Rocky Mountain Journal of Mathematics 3 Ukrainian Mathematical Journal 3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 3 Fuzzy Sets and Systems 3 Proceedings of the American Mathematical Society 3 Quaestiones Mathematicae 3 Transactions of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Bulletin of the Iranian Mathematical Society 3 Physica D 3 Applied Numerical Mathematics 3 Mathematical and Computer Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin des Sciences Mathématiques 3 Integral Transforms and Special Functions 3 Complexity 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 3 Dynamical Systems 3 Journal of Function Spaces and Applications 3 Discrete and Continuous Dynamical Systems. Series S 3 Differential Equations and Applications 3 Evolution Equations and Control Theory 3 Advances in Nonlinear Analysis 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of the Korean Mathematical Society 2 Mathematics and Computers in Simulation 2 Monatshefte für Mathematik 2 SIAM Journal on Control and Optimization 2 Note di Matematica 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Acta Mathematicae Applicatae Sinica. English Series 2 Neural Networks ...and 112 more Serials
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#### Cited in 44 Fields

 762 Ordinary differential equations (34-XX) 202 Operator theory (47-XX) 186 Real functions (26-XX) 157 Systems theory; control (93-XX) 139 Dynamical systems and ergodic theory (37-XX) 122 Partial differential equations (35-XX) 67 Difference and functional equations (39-XX) 61 Integral equations (45-XX) 58 Numerical analysis (65-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 27 Probability theory and stochastic processes (60-XX) 27 Biology and other natural sciences (92-XX) 26 Mechanics of particles and systems (70-XX) 19 Mechanics of deformable solids (74-XX) 17 Special functions (33-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Computer science (68-XX) 9 Information and communication theory, circuits (94-XX) 7 Integral transforms, operational calculus (44-XX) 6 Functional analysis (46-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General topology (54-XX) 5 Quantum theory (81-XX) 4 Approximations and expansions (41-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX)