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Řehák, Pavel

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 Author ID: rehak.pavel Published as: Rehak, Pavel; Rehák, Pavel; Rěhák, Pavel; Řehák, P.; Řehák, Pavel
 Documents Indexed: 73 Publications since 1998, including 2 Books Reviewing Activity: 182 Reviews
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Co-Authors

 41 single-authored 14 Matucci, Serena 5 Došlý, Ondřej 5 Marini, Mauro 4 Vítovec, Jiří 3 Taddei, Valentina 2 Erbe, Lynn Harry 2 Peterson, Allan C. 2 Yamaoka, Naoto 1 Agarwal, Ravi P. 1 Bohner, Martin J. 1 Ito, Baku 1 Malaguti, Luisa 1 Šimon Hilscher, Roman
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Serials

 5 Journal of Mathematical Analysis and Applications 5 Journal of Difference Equations and Applications 3 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 3 Dynamic Systems and Applications 3 Electronic Journal of Qualitative Theory of Differential Equations 3 Advances in Difference Equations 2 Rocky Mountain Journal of Mathematics 2 Czechoslovak Mathematical Journal 2 Mathematica Slovaca 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Mathematica Hungarica 2 Mathematical and Computer Modelling 2 Panamerican Mathematical Journal 2 Electronic Journal of Differential Equations (EJDE) 2 Abstract and Applied Analysis 2 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archivum Mathematicum 1 Fasciculi Mathematici 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 Mathematica Bohemica 1 Advances in Mathematical Sciences and Applications 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 1 Nonlinear Functional Analysis and Applications 1 The Australian Journal of Mathematical Analysis and Applications 1 Boundary Value Problems 1 North-Holland Mathematics Studies
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Fields

 48 Difference and functional equations (39-XX) 39 Ordinary differential equations (34-XX) 19 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Sequences, series, summability (40-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX)

Citations contained in zbMATH

58 Publications have been cited 521 times in 309 Documents Cited by Year
Half-linear differential equations. Zbl 1090.34001
Došlý, Ondřej; Řehák, Pavel
2005
Nonoscillation criteria for half-linear second-order difference equations. Zbl 1006.39012
Došlý, O.; Řehák, P.
2001
Half-linear dynamic equations. Zbl 1056.34049
Agarwal, R. P.; Bohner, M.; Řehák, P.
2003
Comparison theorems for linear dynamic equations on time scales. Zbl 1034.34042
Erbe, Lynn; Peterson, Allan; Řehák, Pavel
2002
Hardy inequality on time scales and its application to half-linear dynamic equations. Zbl 1107.26015
Řehák, Pavel
2005
Oscillatory properties of second order half-linear difference equations. Zbl 0982.39004
Řehák, Pavel
2001
Regularly varying sequences and second order difference equations. Zbl 1147.26002
Matucci, Serena; Řehák, Pavel
2008
Half-linear dynamic equations on time scales: IVP and oscillatory properties. Zbl 1037.34002
Řehák, Pavel
2002
Hartman-Wintner type lemma, oscillation, and conjugacy criteria for half-linear difference equations. Zbl 0969.39009
Řehák, Pavel
2000
How the constants in Hille-Nehari theorems depend on time scales. Zbl 1139.39301
Řehák, Pavel
2006
Asymptotic formulae for solutions of linear second-order difference equations. Zbl 1338.39025
Rehák, Pavel
2016
Oscillation criteria for second order half-linear difference equations. Zbl 1009.39012
Řehák, Pavel
2001
Asymptotics of decreasing solutions of coupled $$p$$-Laplacian systems in the framework of regular variation. Zbl 1304.34067
Matucci, Serena; Řehák, Pavel
2014
A critical oscillation constant as a variable of time scales for half-linear dynamic equations. Zbl 1240.34478
Rěhák, Pavel
2010
Comparison theorems and strong oscillation in the half-linear discrete oscillation theory. Zbl 1044.39001
Řehák, Pavel
2003
Generalized discrete Riccati equation and oscillation of half-linear difference equations. Zbl 1038.39002
Řehák, P.
2001
De Haan type increasing solutions of half-linear differential equations. Zbl 1308.34045
Řehák, Pavel
2014
On certain comparison theorems for half-linear dynamic equations on time scales. Zbl 1068.34031
Řehák, Pavel
2004
Extremal solutions to a system of $$n$$ nonlinear differential equations and regularly varying functions. Zbl 1327.34062
Matucci, Serena; Řehák, Pavel
2015
Function sequence technique for half-linear dynamic equations on time scales. Zbl 1102.34020
Řehák, Pavel
2006
Asymptotic behavior of increasing solutions to a system of $$n$$ nonlinear differential equations. Zbl 1256.34041
Řehák, Pavel
2013
New results on critical oscillation constants depending on a graininess. Zbl 1215.34115
Řehák, Pavel
2010
Recessive solution of half-linear second order difference equations. Zbl 1033.39008
Došlý, Ondřej; Řehák, Pavel
2003
Oscillation and nonoscillation criteria for second order linear difference equations. Zbl 0999.39006
Řehák, Pavel
2001
Oscillation constants for second-order nonlinear dynamic equations of Euler type on time scales. Zbl 1386.34146
Řehák, Pavel; Yamaoka, Naoto
2017
Regular variation on measure chains. Zbl 1179.26005
Řehák, Pavel; Vítovec, Jiří
2010
Comparison of nonlinearities in oscillation theory of half-linear differential equations. Zbl 1199.34167
Řehák, P.
2008
$$q$$-regular variation and $$q$$-difference equations. Zbl 1171.39006
Řehák, Pavel; Vítovec, Jiří
2008
The Karamata integration theorem on time scales and its applications in dynamic and difference equations. Zbl 1427.26001
Řehák, Pavel
2018
An asymptotic analysis of nonoscillatory solutions of $$q$$-difference equations via $$q$$-regular variation. Zbl 1367.39001
Řehák, Pavel
2017
Solutions of half-linear differential equations in the classes Gamma and Pi. Zbl 1374.34206
2016
Second order linear $$q$$-difference equations: nonoscillation and asymptotics. Zbl 1249.26002
Řehák, Pavel
2011
Oscillation of coupled nonlinear discrete systems. Zbl 1055.39016
Marini, Mauro; Matucci, Serena; Řehák, Pavel
2004
Riccati inequality, disconjugacy, and reciprocity principle for linear Hamiltonian dynamic systems. Zbl 1046.39009
Hilscher, Roman; Řehák, Pavel
2003
Half-linear discrete oscillation theory. Zbl 0967.39005
Řehák, Pavel
2000
Rapidly varying decreasing solutions of half-linear difference equations. Zbl 1165.39308
Matucci, Serena; Řehák, Pavel
2009
A Riccati technique for proving oscillation of a half-linear equation. Zbl 1170.34317
Rehak, Pavel
2008
Conjugacy criteria for second order linear difference equations. Zbl 0912.39008
Došlý, Ondřej; Řehák, Pavel
1998
Refined discrete regular variation and its applications. Zbl 1444.40001
Řehák, Pavel
2019
Asymptotic formulae for solutions of half-linear differential equations. Zbl 1410.34104
Řehák, Pavel
2017
$$q$$-Karamata functions and second order $$q$$-difference equations. Zbl 1340.26002
Řehák, Pavel; Vítovec, Jiří
2011
Regularly varying solutions of second-order difference equations with arbitrary sign coefficient. Zbl 1217.39020
Matucci, Serena; Řehák, Pavel
2010
Regular variation on time scales and dynamic equations. Zbl 1167.26301
Řehák, Pavel
2008
Integral comparison theorems for second-order linear dynamic equations. Zbl 1127.39029
Erbe, Lynn; Peterson, Allan; Řehák, Pavel
2007
Nonoscillatory solutions of a second-order nonlinear discrete system. Zbl 1126.39006
Matucci, Serena; Řehák, Pavel
2007
Boundary value problems for functional difference equations on infinite intervals. Zbl 1133.39015
Marini, Mauro; Matucci, Serena; Řehák, Pavel
2006
On decay of coupled nonlinear differential systems. Zbl 1040.34055
Marini, Mauro; Matucci, Serena; Řehák, Pavel
2002
A few remarks on Poincaré-Perron solutions and regularly varying solutions. Zbl 1413.34064
Řehák, Pavel
2016
Exponential estimates for solutions of half-linear differential equations. Zbl 1374.34102
Řehák, P.
2015
On decreasing solutions of second order nearly linear differential equations. Zbl 1308.34069
Řehák, Pavel
2014
An asymptotic formula for decreasing solutions to coupled nonlinear differential systems. Zbl 1270.34064
Matucci, Serena; Řehák, Pavel
2012
On a certain asymptotic class of solutions to second-order linear $$q$$-difference equations. Zbl 1255.39006
Řehák, Pavel
2012
Asymptotic behavior of solutions to half-linear $$q$$-difference equations. Zbl 1208.39009
Řehák, Pavel
2011
Regularly varying decreasing solutions of half-linear dynamic equations. Zbl 1220.34113
Řehák, Pavel; Vítovec, Jiří
2010
A role of the coefficient of the differential term in qualitative theory of half-linear equations. Zbl 1224.34293
Řehák, Pavel
2010
Asymptotic boundary value problems for discrete systems. Zbl 1128.39007
Marini, M.; Matucci, S.; Řehák, P.
2007
Necessary and sufficient conditions for oscillation of coupled nonlinear discrete systems. Zbl 1095.39007
Matucci, Serena; Řehák, Pavel
2005
Bounded solutions and wavefronts for discrete dynamics. Zbl 1066.39019
Malaguti, L.; Řehák, P.; Taddei, V.
2004
Refined discrete regular variation and its applications. Zbl 1444.40001
Řehák, Pavel
2019
The Karamata integration theorem on time scales and its applications in dynamic and difference equations. Zbl 1427.26001
Řehák, Pavel
2018
Oscillation constants for second-order nonlinear dynamic equations of Euler type on time scales. Zbl 1386.34146
Řehák, Pavel; Yamaoka, Naoto
2017
An asymptotic analysis of nonoscillatory solutions of $$q$$-difference equations via $$q$$-regular variation. Zbl 1367.39001
Řehák, Pavel
2017
Asymptotic formulae for solutions of half-linear differential equations. Zbl 1410.34104
Řehák, Pavel
2017
Asymptotic formulae for solutions of linear second-order difference equations. Zbl 1338.39025
Rehák, Pavel
2016
Solutions of half-linear differential equations in the classes Gamma and Pi. Zbl 1374.34206
2016
A few remarks on Poincaré-Perron solutions and regularly varying solutions. Zbl 1413.34064
Řehák, Pavel
2016
Extremal solutions to a system of $$n$$ nonlinear differential equations and regularly varying functions. Zbl 1327.34062
Matucci, Serena; Řehák, Pavel
2015
Exponential estimates for solutions of half-linear differential equations. Zbl 1374.34102
Řehák, P.
2015
Asymptotics of decreasing solutions of coupled $$p$$-Laplacian systems in the framework of regular variation. Zbl 1304.34067
Matucci, Serena; Řehák, Pavel
2014
De Haan type increasing solutions of half-linear differential equations. Zbl 1308.34045
Řehák, Pavel
2014
On decreasing solutions of second order nearly linear differential equations. Zbl 1308.34069
Řehák, Pavel
2014
Asymptotic behavior of increasing solutions to a system of $$n$$ nonlinear differential equations. Zbl 1256.34041
Řehák, Pavel
2013
An asymptotic formula for decreasing solutions to coupled nonlinear differential systems. Zbl 1270.34064
Matucci, Serena; Řehák, Pavel
2012
On a certain asymptotic class of solutions to second-order linear $$q$$-difference equations. Zbl 1255.39006
Řehák, Pavel
2012
Second order linear $$q$$-difference equations: nonoscillation and asymptotics. Zbl 1249.26002
Řehák, Pavel
2011
$$q$$-Karamata functions and second order $$q$$-difference equations. Zbl 1340.26002
Řehák, Pavel; Vítovec, Jiří
2011
Asymptotic behavior of solutions to half-linear $$q$$-difference equations. Zbl 1208.39009
Řehák, Pavel
2011
A critical oscillation constant as a variable of time scales for half-linear dynamic equations. Zbl 1240.34478
Rěhák, Pavel
2010
New results on critical oscillation constants depending on a graininess. Zbl 1215.34115
Řehák, Pavel
2010
Regular variation on measure chains. Zbl 1179.26005
Řehák, Pavel; Vítovec, Jiří
2010
Regularly varying solutions of second-order difference equations with arbitrary sign coefficient. Zbl 1217.39020
Matucci, Serena; Řehák, Pavel
2010
Regularly varying decreasing solutions of half-linear dynamic equations. Zbl 1220.34113
Řehák, Pavel; Vítovec, Jiří
2010
A role of the coefficient of the differential term in qualitative theory of half-linear equations. Zbl 1224.34293
Řehák, Pavel
2010
Rapidly varying decreasing solutions of half-linear difference equations. Zbl 1165.39308
Matucci, Serena; Řehák, Pavel
2009
Regularly varying sequences and second order difference equations. Zbl 1147.26002
Matucci, Serena; Řehák, Pavel
2008
Comparison of nonlinearities in oscillation theory of half-linear differential equations. Zbl 1199.34167
Řehák, P.
2008
$$q$$-regular variation and $$q$$-difference equations. Zbl 1171.39006
Řehák, Pavel; Vítovec, Jiří
2008
A Riccati technique for proving oscillation of a half-linear equation. Zbl 1170.34317
Rehak, Pavel
2008
Regular variation on time scales and dynamic equations. Zbl 1167.26301
Řehák, Pavel
2008
Integral comparison theorems for second-order linear dynamic equations. Zbl 1127.39029
Erbe, Lynn; Peterson, Allan; Řehák, Pavel
2007
Nonoscillatory solutions of a second-order nonlinear discrete system. Zbl 1126.39006
Matucci, Serena; Řehák, Pavel
2007
Asymptotic boundary value problems for discrete systems. Zbl 1128.39007
Marini, M.; Matucci, S.; Řehák, P.
2007
How the constants in Hille-Nehari theorems depend on time scales. Zbl 1139.39301
Řehák, Pavel
2006
Function sequence technique for half-linear dynamic equations on time scales. Zbl 1102.34020
Řehák, Pavel
2006
Boundary value problems for functional difference equations on infinite intervals. Zbl 1133.39015
Marini, Mauro; Matucci, Serena; Řehák, Pavel
2006
Half-linear differential equations. Zbl 1090.34001
Došlý, Ondřej; Řehák, Pavel
2005
Hardy inequality on time scales and its application to half-linear dynamic equations. Zbl 1107.26015
Řehák, Pavel
2005
Necessary and sufficient conditions for oscillation of coupled nonlinear discrete systems. Zbl 1095.39007
Matucci, Serena; Řehák, Pavel
2005
On certain comparison theorems for half-linear dynamic equations on time scales. Zbl 1068.34031
Řehák, Pavel
2004
Oscillation of coupled nonlinear discrete systems. Zbl 1055.39016
Marini, Mauro; Matucci, Serena; Řehák, Pavel
2004
Bounded solutions and wavefronts for discrete dynamics. Zbl 1066.39019
Malaguti, L.; Řehák, P.; Taddei, V.
2004
Half-linear dynamic equations. Zbl 1056.34049
Agarwal, R. P.; Bohner, M.; Řehák, P.
2003
Comparison theorems and strong oscillation in the half-linear discrete oscillation theory. Zbl 1044.39001
Řehák, Pavel
2003
Recessive solution of half-linear second order difference equations. Zbl 1033.39008
Došlý, Ondřej; Řehák, Pavel
2003
Riccati inequality, disconjugacy, and reciprocity principle for linear Hamiltonian dynamic systems. Zbl 1046.39009
Hilscher, Roman; Řehák, Pavel
2003
Comparison theorems for linear dynamic equations on time scales. Zbl 1034.34042
Erbe, Lynn; Peterson, Allan; Řehák, Pavel
2002
Half-linear dynamic equations on time scales: IVP and oscillatory properties. Zbl 1037.34002
Řehák, Pavel
2002
On decay of coupled nonlinear differential systems. Zbl 1040.34055
Marini, Mauro; Matucci, Serena; Řehák, Pavel
2002
Nonoscillation criteria for half-linear second-order difference equations. Zbl 1006.39012
Došlý, O.; Řehák, P.
2001
Oscillatory properties of second order half-linear difference equations. Zbl 0982.39004
Řehák, Pavel
2001
Oscillation criteria for second order half-linear difference equations. Zbl 1009.39012
Řehák, Pavel
2001
Generalized discrete Riccati equation and oscillation of half-linear difference equations. Zbl 1038.39002
Řehák, P.
2001
Oscillation and nonoscillation criteria for second order linear difference equations. Zbl 0999.39006
Řehák, Pavel
2001
Hartman-Wintner type lemma, oscillation, and conjugacy criteria for half-linear difference equations. Zbl 0969.39009
Řehák, Pavel
2000
Half-linear discrete oscillation theory. Zbl 0967.39005
Řehák, Pavel
2000
Conjugacy criteria for second order linear difference equations. Zbl 0912.39008
Došlý, Ondřej; Řehák, Pavel
1998
all top 5

Cited by 276 Authors

 35 Řehák, Pavel 23 Agarwal, Ravi P. 19 Saker, Samir H. 15 Vesely, Michal 14 Hasil, Petr 13 Došlá, Zuzana 12 Došlý, Ondřej 12 Matucci, Serena 11 Erbe, Lynn Harry 11 Marini, Mauro 10 Özbekler, Abdullah 10 Peterson, Allan C. 10 Zafer, Ağacık 8 Mařík, Robert 8 Sugie, Jitsuro 7 Li, Yongkun 7 O’Regan, Donal 7 Zhang, Quanxin 6 Bohner, Martin J. 6 Cecchi, Mariella 6 Grace, Said Rezk 6 Han, Wei 6 Mahmoud, Ramy Ramadan 6 Su, Youhui 6 Sun, Hongrui 6 Tiryaki, Aydin 5 Çakmak, Devrim 5 He, Xiaofei 5 Li, Wan-Tong 5 Lo, Kueiming 5 Manojlović, Jelena V. 5 Tanaka, Satoshi 5 Yang, Xiaojing 4 Fišnarová, Simona 4 Jadlovská, Irena 4 Karpuz, Başak 4 Kim, Yong-In 4 Kong, Qingkai 4 Onitsuka, Masakazu 4 Tang, Xianhua 4 Ünal, Mehmet 4 Zhang, Qiming 4 Zhou, Jianwen 3 Baoguo, Jia 3 Bartušek, Miroslav 3 Džurina, Jozef 3 Fujimoto, Kōdai 3 Gao, Li 3 Jia, Baoguo 3 Jin, Zhen 3 Kajikiya, Ryuji 3 Kang, Shin Min 3 Kaymakçalan, Billur 3 Kwun, Young Chel 3 Li, Tongxing 3 Liu, Zeqing 3 Migda, Janusz 3 Migda, Małgorzata 3 Peterson, Alan 3 Pinasco, Juan Pablo 3 Saied, Ahmed I. 3 Sang, Yanbin 3 Sim, Inbo 3 Šimon Hilscher, Roman 3 Su, Hua 3 Wang, Qiru 3 Zhang, Chenghui 2 Akın-Bohner, Elvan 2 Anderson, Douglas Robert 2 Appleby, John A. D. 2 Bolat, Yaşar 2 Del Medico, Amy 2 Deng, XunHuan 2 Djurčić, Dragan Ž. 2 Fabelurin, Olanrewaju Olabiyi 2 Hu, Lianggen 2 Jiang, Jianchu 2 Kang, Shugui 2 Krejčová, Jana 2 Krnić, Mario 2 Liang, Sihua 2 Lin, Wei 2 Liu, Shouhua 2 Marić, Vojislav 2 Mermerkaya, Banu 2 Milošević, Jelena 2 Misir, Adil 2 Nockowska-Rosiak, Magdalena 2 Oganesyan, Gro R. 2 Oguntuase, James Adedayo 2 Osman, Mahmoud M. 2 Patterson, Denis D. 2 Persson, Lars-Erik 2 Sae-Jie, Wichuta 2 Saker, S. H. Ean-Tong 2 Sun, Taixiang 2 Takaŝi, Kusano 2 Takeuchi, Shingo 2 Tunç, Cemil 2 Vítovec, Jiří ...and 176 more Authors
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Cited in 66 Serials

 36 Journal of Mathematical Analysis and Applications 34 Applied Mathematics and Computation 27 Advances in Difference Equations 19 Abstract and Applied Analysis 17 Computers & Mathematics with Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Applied Mathematics Letters 14 Journal of Difference Equations and Applications 12 Mathematical and Computer Modelling 7 Journal of Inequalities and Applications 6 Journal of Differential Equations 6 Journal of Applied Mathematics and Computing 5 Journal of Computational and Applied Mathematics 4 Rocky Mountain Journal of Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Monatshefte für Mathematik 4 Proceedings of the American Mathematical Society 4 Acta Mathematica Hungarica 4 Journal of Mathematical Sciences (New York) 4 Mediterranean Journal of Mathematics 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Communications in Nonlinear Science and Numerical Simulation 3 Boundary Value Problems 3 International Journal of Differential Equations 3 Journal of Function Spaces 2 Ukrainian Mathematical Journal 2 Czechoslovak Mathematical Journal 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Discrete Dynamics in Nature and Society 2 Analysis (München) 2 Communications in Mathematical Analysis 2 Science China. Mathematics 2 Open Mathematics 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Funkcialaj Ekvacioj. Serio Internacia 1 Mathematische Annalen 1 Acta Applicandae Mathematicae 1 Applications of Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Historia Mathematica 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 International Journal of Robust and Nonlinear Control 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Opuscula Mathematica 1 The Ramanujan Journal 1 Positivity 1 Mathematical Inequalities & Applications 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Differential Equations and Applications 1 Symmetry 1 Eurasian Mathematical Journal 1 ISRN Mathematical Analysis 1 Journal of Applied Mathematics & Informatics 1 Transactions of A. Razmadze Mathematical Institute
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Cited in 22 Fields

 215 Ordinary differential equations (34-XX) 110 Difference and functional equations (39-XX) 47 Real functions (26-XX) 17 Operator theory (47-XX) 16 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Numerical analysis (65-XX) 5 Systems theory; control (93-XX) 3 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX)