Edit Profile (opens in new tab) Vrkoč, Ivo Compute Distance To: Compute Author ID: vrkoc.ivo Published as: Vrkoč, Ivo; Vrkoc, Ivo; Vrkoc, I.; Vrkoč, I.; Vrkoch, I. Documents Indexed: 75 Publications since 1957, including 2 Books Biographic References: 3 Publications Co-Authors: 28 Co-Authors with 35 Joint Publications 620 Co-Co-Authors all top 5 Co-Authors 38 single-authored 7 Křivan, Vlastimil 6 Fischer, Jan-Wilhelm 6 Tvrdý, Milan 5 Došlá, Zuzana 4 Cecchi, Mariella 4 Jarník, Jiří 4 Marini, Mauro 4 Schwabik, Štefan 4 Seidler, Jan 2 Caprini, Irinel 2 Chaichian, Masud 2 Kowalski, Oldřich 2 Křížek, Michal 2 Kurzweil, Jaroslav 2 Markl, Martin 2 Maslowski, Bohdan 2 Nelipa, N. F. 2 Pudlák, Pavel 2 Rachůnková, Irena 2 Somer, Lawrence E. 1 Brown, Richard Clark 1 Colombo, Giovanni 1 Dai Pra, Paolo 1 Krejčí, Pavel 1 Lánská, Věra 1 Mandl, Petr 1 Molodensky, S. M. 1 Slavík, Antonín all top 5 Serials 19 Czechoslovak Mathematical Journal 8 Časopis Pro Pěstování Matematiky 8 Mathematica Bohemica 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Translations. Series 2. American Mathematical Society 1 International Journal of Modern Physics A 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Aplikace Matematiky 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Differential Equations 1 Theoretical Population Biology 1 Tohoku Mathematical Journal. Second Series 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Differential and Integral Equations 1 Dynamic Systems and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Inequalities and Applications 1 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Theoretical Biology 1 Mathematica all top 5 Fields 17 Ordinary differential equations (34-XX) 16 Probability theory and stochastic processes (60-XX) 7 Real functions (26-XX) 6 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 5 Quantum theory (81-XX) 5 Systems theory; control (93-XX) 4 Biology and other natural sciences (92-XX) 3 Measure and integration (28-XX) 3 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 205 times in 185 Documents Cited by ▼ Year ▼ Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems. Zbl 1004.34008Rachůnková, Irena; Tvrdý, Milan; Vrkoč, Ivo 75 2001 Integral stability. Zbl 0084.28802Vrkoč, Ivo 16 1959 Summation inequalities and half-linear difference equations. Zbl 1069.39001Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro; Vrkoč, Ivo 11 2005 Integral conditions for nonoscillation of second order nonlinear differential equations. Zbl 1114.34031Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro; Vrkoč, Ivo 11 2006 Integral continuity and stability for stochastic hyperbolic equations. Zbl 0777.35096Maslowski, Bohdan; Seidler, Jan; Vrkoč, Ivo 10 1993 An averaging principle for stochastic evolution equations. Zbl 0718.60068Seidler, Jan; Vrkoč, Ivo 9 1990 An averaging principle for stochastic evolution equations. II. Zbl 0786.60084Maslowski, Bohdan; Seidler, Jan; Vrkoč, Ivo 8 1991 On an extension of the Fubini theorem and its applications in ODEs. Zbl 1053.34033Došlá, Zuzana; Vrkoč, Ivo 8 2004 Extension of the averaging method to stochastic equations. Zbl 0178.52503Vrkoc, I. 7 1966 Weak averaging of stochastic evolution equations. Zbl 0849.60067Vrkoč, Ivo 5 1995 Asymptotic properties for half-linear difference equations. Zbl 1110.39004Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro; Vrkoč, Ivo 5 2006 Scorza-Dragoni property of Filippov mappings. Zbl 0456.34016Vrkoc, Ivo 3 1980 The representation of Caratheodory operators. Zbl 0175.14701Vrkoc, I. 3 1969 Some maximum principles for stochastic equations. Zbl 0205.43902Vrkoč, I. 3 1969 The converse theorems of Ljapunov and Persidskij concerning the stability of motion. Zbl 0097.07301Kurzweil, Jaroslav; Vrkoč, Ivo 2 1957 A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments. Zbl 1115.92058Křivan, Vlastimil; Vrkoč, Ivo 2 2007 Asymptotic stability of tri-trophic food chains sharing a common resource. Zbl 1364.92034Vrkoč, Ivo; Křivan, Vlastimil 2 2015 On Kurzweil-Henstock equiintegrable sequences. Zbl 0863.26009Schwabik, Štefan; Vrkoč, Ivo 2 1996 A new definition and some modifications of Filippov cone. Zbl 0415.34016Vrkoc, I. 2 1979 A dynamical system in a Hilbert space with a weakly attractive nonstationary point. Zbl 0794.34054Vrkoč, Ivo 2 1993 Über eine bestimmte Klasse der zufälligen Prozesse mit absorbierten Barrieren. Zbl 0134.34903Vrkoc, I. 2 1964 A note to the unicity of generalized differential equations. Zbl 0142.34602Vrkoc, I. 2 1958 Conditions for maximal local diffusions in multi-dimensional case. Zbl 0265.60078Vrkoc, Ivo 1 1972 On the occasion of the sixtieth birthday of Jaroslav Kurzweil. Zbl 0592.01024Jarník, J.; Schwabik, Št.; Tvrdý, M.; Vrkoč, I. 1 1986 Absolutely continuous selections from absolutely continuous set valued map. Zbl 0743.28005Křivan, Vlastimil; Vrkoč, Ivo 1 1990 A new expression for the high-energy upper bound on the scattering amplitude. Zbl 0461.35082Chaichian, Masud; Fischer, Jan; Molodensky, S. M.; Nelipa, N. F.; Vrkoc, Ivo 1 1981 On the ambiguity of field correlators represented by asymptotic perturbation expansions. Zbl 1178.81189Caprini, Irinel; Fischer, Jan; Vrkoč, Ivo 1 2009 Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations. Zbl 1039.34014Vrkoč, Ivo 1 2001 Patch choice under predation hazard. Zbl 1039.92038Křivan, Vlastimil; Vrkoč, Ivo 1 2000 Stability under persistent disturbances. Zbl 0107.29503Vrkoc, I. 1 1962 On certain properties of a system of linear differential equations. Zbl 0139.03903Vrkoc, I. 1 1965 On homogeneous linear differential equations with random perturbations. Zbl 0139.34301Vrkoc, I. 1 1966 The weak exponential stability and periodic solutions of Ito stochastic equations with small stochastic terms. Zbl 0174.49101Vrkoc, I. 1 1968 The class of functions fulfilling the inequality \(\| f(x+z) - f(x) - f(y+z) + f(y) \| \leq \| x-y \| \omega(\| z \|)\). Zbl 0186.47602Vrkoc, I. 1 1969 Note on stability of a linear homogeneous control system. Zbl 0203.47702Kučera, Jan; Vrkoč, Ivo 1 1970 Eighty years of Jaroslav Kurzweil. Zbl 1106.01319Jarník, Jiří; Schwabik, Štefan; Tvrdý, Milan; Vrkoč, Ivo 1 2006 Ninety years of Jaroslav Kurzweil. Zbl 1389.01013Jarník, Jiří; Krejčí, Pavel; Slavík, Antonín; Tvrdý, Milan; Vrkoč, Ivo 1 2016 Ninety years of Jaroslav Kurzweil. Zbl 1389.01013Jarník, Jiří; Krejčí, Pavel; Slavík, Antonín; Tvrdý, Milan; Vrkoč, Ivo 1 2016 Asymptotic stability of tri-trophic food chains sharing a common resource. Zbl 1364.92034Vrkoč, Ivo; Křivan, Vlastimil 2 2015 On the ambiguity of field correlators represented by asymptotic perturbation expansions. Zbl 1178.81189Caprini, Irinel; Fischer, Jan; Vrkoč, Ivo 1 2009 A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments. Zbl 1115.92058Křivan, Vlastimil; Vrkoč, Ivo 2 2007 Integral conditions for nonoscillation of second order nonlinear differential equations. Zbl 1114.34031Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro; Vrkoč, Ivo 11 2006 Asymptotic properties for half-linear difference equations. Zbl 1110.39004Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro; Vrkoč, Ivo 5 2006 Eighty years of Jaroslav Kurzweil. Zbl 1106.01319Jarník, Jiří; Schwabik, Štefan; Tvrdý, Milan; Vrkoč, Ivo 1 2006 Summation inequalities and half-linear difference equations. Zbl 1069.39001Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro; Vrkoč, Ivo 11 2005 On an extension of the Fubini theorem and its applications in ODEs. Zbl 1053.34033Došlá, Zuzana; Vrkoč, Ivo 8 2004 Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems. Zbl 1004.34008Rachůnková, Irena; Tvrdý, Milan; Vrkoč, Ivo 75 2001 Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations. Zbl 1039.34014Vrkoč, Ivo 1 2001 Patch choice under predation hazard. Zbl 1039.92038Křivan, Vlastimil; Vrkoč, Ivo 1 2000 On Kurzweil-Henstock equiintegrable sequences. Zbl 0863.26009Schwabik, Štefan; Vrkoč, Ivo 2 1996 Weak averaging of stochastic evolution equations. Zbl 0849.60067Vrkoč, Ivo 5 1995 Integral continuity and stability for stochastic hyperbolic equations. Zbl 0777.35096Maslowski, Bohdan; Seidler, Jan; Vrkoč, Ivo 10 1993 A dynamical system in a Hilbert space with a weakly attractive nonstationary point. Zbl 0794.34054Vrkoč, Ivo 2 1993 An averaging principle for stochastic evolution equations. II. Zbl 0786.60084Maslowski, Bohdan; Seidler, Jan; Vrkoč, Ivo 8 1991 An averaging principle for stochastic evolution equations. Zbl 0718.60068Seidler, Jan; Vrkoč, Ivo 9 1990 Absolutely continuous selections from absolutely continuous set valued map. Zbl 0743.28005Křivan, Vlastimil; Vrkoč, Ivo 1 1990 On the occasion of the sixtieth birthday of Jaroslav Kurzweil. Zbl 0592.01024Jarník, J.; Schwabik, Št.; Tvrdý, M.; Vrkoč, I. 1 1986 A new expression for the high-energy upper bound on the scattering amplitude. Zbl 0461.35082Chaichian, Masud; Fischer, Jan; Molodensky, S. M.; Nelipa, N. F.; Vrkoc, Ivo 1 1981 Scorza-Dragoni property of Filippov mappings. Zbl 0456.34016Vrkoc, Ivo 3 1980 A new definition and some modifications of Filippov cone. Zbl 0415.34016Vrkoc, I. 2 1979 Conditions for maximal local diffusions in multi-dimensional case. Zbl 0265.60078Vrkoc, Ivo 1 1972 Note on stability of a linear homogeneous control system. Zbl 0203.47702Kučera, Jan; Vrkoč, Ivo 1 1970 The representation of Caratheodory operators. Zbl 0175.14701Vrkoc, I. 3 1969 Some maximum principles for stochastic equations. Zbl 0205.43902Vrkoč, I. 3 1969 The class of functions fulfilling the inequality \(\| f(x+z) - f(x) - f(y+z) + f(y) \| \leq \| x-y \| \omega(\| z \|)\). Zbl 0186.47602Vrkoc, I. 1 1969 The weak exponential stability and periodic solutions of Ito stochastic equations with small stochastic terms. Zbl 0174.49101Vrkoc, I. 1 1968 Extension of the averaging method to stochastic equations. Zbl 0178.52503Vrkoc, I. 7 1966 On homogeneous linear differential equations with random perturbations. Zbl 0139.34301Vrkoc, I. 1 1966 On certain properties of a system of linear differential equations. Zbl 0139.03903Vrkoc, I. 1 1965 Über eine bestimmte Klasse der zufälligen Prozesse mit absorbierten Barrieren. Zbl 0134.34903Vrkoc, I. 2 1964 Stability under persistent disturbances. Zbl 0107.29503Vrkoc, I. 1 1962 Integral stability. Zbl 0084.28802Vrkoč, Ivo 16 1959 A note to the unicity of generalized differential equations. Zbl 0142.34602Vrkoc, I. 2 1958 The converse theorems of Ljapunov and Persidskij concerning the stability of motion. Zbl 0097.07301Kurzweil, Jaroslav; Vrkoč, Ivo 2 1957 all cited Publications top 5 cited Publications all top 5 Cited by 207 Authors 15 Vrkoč, Ivo 14 Došlá, Zuzana 13 Chu, Jifeng 11 Marini, Mauro 9 Torres, Pedro José 7 Cecchi, Mariella 7 Li, Shengjun 7 Řehák, Pavel 6 Cheng, Zhibo 6 Zhang, Ziheng 5 Brzeźniak, Zdzisław 5 Křivan, Vlastimil 5 Matucci, Serena 5 Ondreját, Martin 5 Sun, Jianping 4 Cerrai, Sandra 4 Tvrdý, Milan 4 Zamora, Manuel 3 Bernfeld, Stephen R. 3 Hakl, Robert 3 Li, Wan-Tong 3 Li, Xiong 3 Liao, Fangfang 3 Ma, Ruyun 3 Rachůnková, Irena 3 Ren, Jingli 3 Wang, Zaihong 3 Xu, Jie 3 Yao, Qingliu 3 Yorke, James Alan 2 Agarwal, Ravi P. 2 Bessaih, Hakima 2 Burkotová, Jana 2 Cid, José Ángel 2 Došlý, Ondřej 2 Fischer, Jan-Wilhelm 2 Jiang, Daqing 2 Kalas, Josef 2 Kong, Qingkai 2 Krejčová, Jana 2 Kusano, Takaŝi 2 Liu, Jicheng 2 Liu, Xiaojing 2 Luo, Huxiao 2 Manojlović, Jelena V. 2 Maris, Razvan Florian 2 Maslowski, Bohdan 2 Miao, Yu 2 O’Regan, Donal 2 Qian, Dingbian 2 Strauss, Aaron 2 Tang, Xianhua 2 Wang, Min 2 Wang, Peiguang 2 Wong, Patricia J. Y. 2 Xin, Yun 2 Xu, Qing 2 Xu, Wei 2 Zhang, Meirong 2 Zima, Mirosława 1 Akimenko, Vitalii V. 1 Alzabut, Jehad O. 1 Appell, Jürgen M. 1 Artstein, Zvi 1 Asryan, A. A. 1 Bacciotti, Andrea 1 Bainov, Drumi Dimitrov 1 Baňas, Ľubomír 1 Bartušek, Miroslav 1 Bereanu, Cristian 1 Beznea, Lucian 1 Biles, Daniel C. 1 Bolat, Yaşar 1 Borisovich, Yuriĭ Grigor’evich 1 Cabada, Alberto 1 Candito, Pasquale 1 Cao, Zhongwei 1 Caprini, Irinel 1 Chaichian, Masud 1 Cheban, David Nikolai 1 Chen, Hexin 1 Chen, Ruipeng 1 Chen, Yueli 1 Chow, Pao-Liu 1 Chow, Shui-Nee 1 Cichoń, Mieczysław 1 Cîmpean, Iulian 1 Cressman, Ross 1 Daqing, Jiang 1 Drygaś, Piotr 1 Efendiev, Yalchin R. 1 Fan, Ning 1 Fišnarová, Simona 1 Franco Leis, Daniel 1 Freidlin, Mark I. 1 Furumochi, Tetsuo 1 Gel’man, Boris Danielovich 1 Gheorghe, Dana 1 Grzanek, Marta 1 Guo, Qin ...and 107 more Authors all top 5 Cited in 72 Serials 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Mathematical Analysis and Applications 13 Journal of Differential Equations 12 Czechoslovak Mathematical Journal 12 Boundary Value Problems 6 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 5 Advances in Difference Equations 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Abstract and Applied Analysis 3 Bulletin of the Australian Mathematical Society 3 Mathematical Methods in the Applied Sciences 3 Ukrainian Mathematical Journal 3 Acta Applicandae Mathematicae 3 Journal of Difference Equations and Applications 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Tohoku Mathematical Journal. Second Series 2 Probability Theory and Related Fields 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Mathematica Bohemica 2 The Annals of Applied Probability 2 SIAM Journal on Mathematical Analysis 2 Georgian Mathematical Journal 2 Discrete Dynamics in Nature and Society 2 Acta Mathematica Sinica. English Series 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Journal of Fixed Point Theory and Applications 2 Journal of Theoretical Biology 2 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Applied Mathematics and Mechanics 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Aplikace Matematiky 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Ricerche di Matematica 1 Theoretical Population Biology 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 Stochastics and Dynamics 1 Central European Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Bulletin of the American Mathematical Society 1 International Journal of Differential Equations 1 Journal of Applied Analysis and Computation 1 Journal of Function Spaces 1 1 AIMS Mathematics 1 Electronic Research Archive all top 5 Cited in 26 Fields 117 Ordinary differential equations (34-XX) 41 Operator theory (47-XX) 32 Probability theory and stochastic processes (60-XX) 22 Difference and functional equations (39-XX) 15 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 8 Real functions (26-XX) 7 Biology and other natural sciences (92-XX) 6 Mechanics of particles and systems (70-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year