Edit Profile (opens in new tab) Hilger, Stefan Compute Distance To: Compute Author ID: hilger.stefan Published as: Hilger, Stefan; Hilger, S. Documents Indexed: 28 Publications since 1988, including 1 Book 1 Contribution as Editor Reviewing Activity: 106 Reviews Co-Authors: 14 Co-Authors with 17 Joint Publications 814 Co-Co-Authors all top 5 Co-Authors 12 single-authored 4 Filipuk, Galina V. 4 Kloeden, Peter Eris 3 Aulbach, Bernd 2 Eloe, Paul W. 2 Garay, Barnabas M. 1 Colonius, Fritz 1 Došlý, Ondřej 1 Erbe, Lynn Harry 1 Esty, Norah Catherine 1 Graef, John R. 1 Pinelas, Sandra 1 Schinas, Christos J. 1 Sheng, Qin 1 Siegmund, Stefan all top 5 Serials 6 Journal of Difference Equations and Applications 3 Results in Mathematics 2 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Journal of Functional Analysis 1 Journal of Pure and Applied Algebra 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Dynamic Systems and Applications 1 Automation and Remote Control 1 Journal of the Australian Mathematical Society. Series A 1 Differential Equations and Dynamical Systems 1 Differential Equations and Applications 1 Springer Proceedings in Mathematics & Statistics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 20 Difference and functional equations (39-XX) 15 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 1,587 times in 1,220 Documents Cited by ▼ Year ▼ Analysis on measure chains - a unified approach to continuous and discrete calculus. Zbl 0722.39001Hilger, Stefan 948 1990 Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten. Zbl 0695.34001Hilger, Stefan 260 1988 Sturmian theory on measure chains. Zbl 0868.39007Erbe, Lynn; Hilger, Stefan 70 1993 Linear dynamic processes with inhomogeneous time scale. Zbl 0719.34088Aulbach, Bernd; Hilger, Stefan 68 1990 Differential and difference calculus – unified! Zbl 0927.39002Hilger, Stefan 53 1997 A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales. Zbl 1009.34033Došlý, Ondřej; Hilger, Stefan 47 2002 A unified approach to continuous and discrete dynamics. Zbl 0723.34030Aulbach, B.; Hilger, S. 28 1990 Special functions, Laplace and Fourier transform on measure chains. Zbl 0943.39006Hilger, Stefan 26 1999 A unified approach to continuous and discrete dynamics. Zbl 0713.34050Aulbach, B.; Hilger, S. 26 1990 Generalized theorem of Hartman-Grobman on measure chains. Zbl 0853.39007Hilger, Stefan 9 1996 Matrix Lie theory and measure chains. Zbl 1160.22307Hilger, Stefan 7 2002 Embeddability of time scale dynamics in ODE dynamics. Zbl 1042.34503Garay, Barnabas M.; Hilger, Stefan 7 2001 The category of ladders. Zbl 1193.81028Hilger, Stefan 7 2010 A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030Eloe, P. W.; Hilger, S.; Sheng, Q. 6 2006 Smoothness of invariant manifolds. Zbl 0762.93041Hilger, Stefan 5 1992 An application of calculus on measure chains to Fourier theory and Heisenberg’s uncertainty principle. Zbl 1006.43002Hilger, Stefan 4 2002 Factorization of \((q, h)\)-difference operators – an algebraic approach. Zbl 1298.39010Hilger, Stefan; Filipuk, Galina 4 2014 Convergence of time scales under the Fell topology. Zbl 1185.34142Esty, Norah; Hilger, Stefan 2 2009 The discrete and periodic heat and harmonic oscillator equation. Zbl 1132.39013Hilger, Stefan 2 2007 Continuous dependence in time scale dynamics. Zbl 1065.39030Garay, Barnabas M.; Hilger, Stefan; Kloeden, Peter E. 2 2004 Algebra embedding of \(U_{q}(sl(2))\) into the tensor product of two \((q,h)\)-Weyl algebras. Zbl 1347.16026Filipuk, Galina; Hilger, Stefan 2 2016 Linear graininess time scales and ladder operators of orthogonal polynomials. Zbl 1284.26038Filipuk, Galina; Hilger, Stefan 2 2013 Comparative time graininess and asymptotic stability of dynamical systems. Zbl 0855.93072Hilger, S.; Kloeden, P. E. 1 1994 The harmonic oscillator – an extension via measure chains. Zbl 1117.39321Hilger, Stefan 1 2005 Algebra embedding of \(U_{q}(sl(2))\) into the tensor product of two \((q,h)\)-Weyl algebras. Zbl 1347.16026Filipuk, Galina; Hilger, Stefan 2 2016 Factorization of \((q, h)\)-difference operators – an algebraic approach. Zbl 1298.39010Hilger, Stefan; Filipuk, Galina 4 2014 Linear graininess time scales and ladder operators of orthogonal polynomials. Zbl 1284.26038Filipuk, Galina; Hilger, Stefan 2 2013 The category of ladders. Zbl 1193.81028Hilger, Stefan 7 2010 Convergence of time scales under the Fell topology. Zbl 1185.34142Esty, Norah; Hilger, Stefan 2 2009 The discrete and periodic heat and harmonic oscillator equation. Zbl 1132.39013Hilger, Stefan 2 2007 A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030Eloe, P. W.; Hilger, S.; Sheng, Q. 6 2006 The harmonic oscillator – an extension via measure chains. Zbl 1117.39321Hilger, Stefan 1 2005 Continuous dependence in time scale dynamics. Zbl 1065.39030Garay, Barnabas M.; Hilger, Stefan; Kloeden, Peter E. 2 2004 A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales. Zbl 1009.34033Došlý, Ondřej; Hilger, Stefan 47 2002 Matrix Lie theory and measure chains. Zbl 1160.22307Hilger, Stefan 7 2002 An application of calculus on measure chains to Fourier theory and Heisenberg’s uncertainty principle. Zbl 1006.43002Hilger, Stefan 4 2002 Embeddability of time scale dynamics in ODE dynamics. Zbl 1042.34503Garay, Barnabas M.; Hilger, Stefan 7 2001 Special functions, Laplace and Fourier transform on measure chains. Zbl 0943.39006Hilger, Stefan 26 1999 Differential and difference calculus – unified! Zbl 0927.39002Hilger, Stefan 53 1997 Generalized theorem of Hartman-Grobman on measure chains. Zbl 0853.39007Hilger, Stefan 9 1996 Comparative time graininess and asymptotic stability of dynamical systems. Zbl 0855.93072Hilger, S.; Kloeden, P. E. 1 1994 Sturmian theory on measure chains. Zbl 0868.39007Erbe, Lynn; Hilger, Stefan 70 1993 Smoothness of invariant manifolds. Zbl 0762.93041Hilger, Stefan 5 1992 Analysis on measure chains - a unified approach to continuous and discrete calculus. Zbl 0722.39001Hilger, Stefan 948 1990 Linear dynamic processes with inhomogeneous time scale. Zbl 0719.34088Aulbach, Bernd; Hilger, Stefan 68 1990 A unified approach to continuous and discrete dynamics. Zbl 0723.34030Aulbach, B.; Hilger, S. 28 1990 A unified approach to continuous and discrete dynamics. Zbl 0713.34050Aulbach, B.; Hilger, S. 26 1990 Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten. Zbl 0695.34001Hilger, Stefan 260 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,026 Authors 55 Bohner, Martin J. 53 Agarwal, Ravi P. 30 Li, Tongxing 30 O’Regan, Donal 29 Saker, Samir H. 28 Anderson, Douglas Robert 25 Peterson, Allan C. 23 Erbe, Lynn Harry 22 Eldeeb, Ahmed Abdel-Moneim 22 Šimon Hilscher, Roman 21 Han, Zhenlai 21 Hassan, Taher S. 21 Li, Yongkun 21 Wang, Chao 19 Sun, Shurong 18 Li, Wan-Tong 18 Qiu, Yangcong 17 Grace, Said Rezk 16 Sun, Hongrui 16 Torres, Delfim Fernando Marado 15 Hilger, Stefan 14 Sun, Jianping 13 Abbas, Syed 13 Guseinov, Gusein Sh. 13 Kaymakçalan, Billur 13 Zhang, Chenghui 12 Davis, John M. 12 Wang, Qiru 12 Zada, Akbar 12 Zhang, Yi 11 Malik, Muslim 11 Oganesyan, Gro R. 11 Sun, Taixiang 11 Zeidan, Vera Michel 10 Ardjouni, Abdelouaheb 10 Djoudi, Ahcene 10 Henderson, Johnny Lee 10 Li, Weinian 10 Malinowska, Agnieszka Barbara 10 Meng, Fanwei 10 Su, Youhui 10 Tuna, Hüseyin 9 Dogan, Abdulkadir 9 Feng, Qinghua 9 Karpuz, Başak 9 Prasad, Kapula Rajendra 9 Shah, Syed Omar 9 Wang, Dabin 9 Zhang, Jimin 8 Djemai, Mohamed 8 Ge, Weigao 8 Hong, Shihuang 8 Kong, Qingkai 8 Martins, Natália F. 8 Nguyen Huu Du 8 Pečarić, Josip 8 Slavík, Antonín 8 Stehlík, Petr 8 Xi, Hongjian 8 Yılmaz, Emrah Sercan 7 Allahverdiev, Bilender Paşaoğlu 7 Chyan, Chuan Jen 7 Defoort, Michael 7 Eloe, Paul W. 7 Elsennary, Hamza A. 7 Fan, Meng 7 Guan, Wen 7 Khan, Zareen Abdulhameed 7 Kumar, Vipin 7 Liu, Haidong 7 Yang, Li 7 Yaslan Karaca, Ilkay 7 Zemánek, Petr 7 Zheng, Bin 6 Bartosiewicz, Zbigniew 6 Boukerrioua, Khaled 6 Chhatria, Gokula Nanda 6 Diblík, Josef 6 Girejko, Ewa 6 Gravagne, Ian A. 6 Hamza, Alaa E. 6 Kong, Lingju 6 Koo, Namjip 6 Luo, Hua 6 Mesquita, Jaqueline Godoy 6 Negi, Shekhar Singh 6 Onitsuka, Masakazu 6 Pachpatte, Deepak B. 6 Pötzsche, Christian 6 Rashid, Saima 6 Řehák, Pavel 6 Sheng, Qin 6 Sun, Yibing 6 Tang, Shuhong 6 Tian, Jingfeng 6 Tisdell, Christopher C. 6 Vítovec, Jiří 6 Xia, Yonghui 6 Zhang, Chao 5 Akın-Bohner, Elvan ...and 926 more Authors all top 5 Cited in 216 Serials 155 Advances in Difference Equations 76 Journal of Mathematical Analysis and Applications 60 Computers & Mathematics with Applications 53 Applied Mathematics and Computation 52 Abstract and Applied Analysis 50 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Journal of Computational and Applied Mathematics 40 Journal of Difference Equations and Applications 39 Discrete Dynamics in Nature and Society 31 Journal of Inequalities and Applications 24 Mathematical and Computer Modelling 24 Journal of Applied Mathematics and Computing 21 Applied Mathematics Letters 16 Rocky Mountain Journal of Mathematics 15 Journal of Mathematical Physics 15 Boundary Value Problems 13 Journal of Applied Mathematics 12 Results in Mathematics 12 Qualitative Theory of Dynamical Systems 11 Differential Equations and Dynamical Systems 10 Mathematical Methods in the Applied Sciences 10 Turkish Journal of Mathematics 10 Nonlinear Analysis. Hybrid Systems 9 Journal of Differential Equations 9 Communications in Nonlinear Science and Numerical Simulation 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Journal of Nonlinear Science and Applications 8 Acta Applicandae Mathematicae 8 Filomat 7 Journal of Mathematical Sciences (New York) 7 Mediterranean Journal of Mathematics 7 Differential Equations and Applications 7 Journal of Function Spaces 6 Applicable Analysis 6 Nonlinear Analysis. Real World Applications 6 Kragujevac Journal of Mathematics 6 Journal of Mathematical Inequalities 6 International Journal of Differential Equations 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Chaos, Solitons and Fractals 5 Computational and Applied Mathematics 5 Integral Transforms and Special Functions 5 Doklady Mathematics 5 Journal of Applied Analysis and Computation 4 International Journal of Control 4 Journal of the Franklin Institute 4 Mathematical Notes 4 Mathematische Nachrichten 4 Proceedings of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Arab Journal of Mathematical Sciences 4 Communications in Mathematical Analysis 4 Advances in Mathematical Physics 4 Science China. Mathematics 4 Nonautonomous Dynamical Systems 3 Indian Journal of Pure & Applied Mathematics 3 Acta Mathematica Vietnamica 3 Journal of Optimization Theory and Applications 3 Mathematica Slovaca 3 Quaestiones Mathematicae 3 Systems & Control Letters 3 MCSS. Mathematics of Control, Signals, and Systems 3 Electronic Journal of Differential Equations (EJDE) 3 Fractals 3 Complexity 3 Mathematical Problems in Engineering 3 Journal of Dynamical Systems and Geometric Theories 3 Hacettepe Journal of Mathematics and Statistics 3 Electronic Journal of Mathematical Analysis and Applications EJMAA 3 Open Mathematics 3 Applied Mathematics and Nonlinear Sciences 3 AIMS Mathematics 2 Acta Mechanica 2 Reports on Mathematical Physics 2 Ukrainian Mathematical Journal 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Demonstratio Mathematica 2 Hiroshima Mathematical Journal 2 Journal of Functional Analysis 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Circuits, Systems, and Signal Processing 2 Applied Mathematics and Mechanics. (English Edition) 2 Stochastic Analysis and Applications 2 Communications in Statistics. Theory and Methods 2 International Applied Mechanics 2 Journal of the Egyptian Mathematical Society 2 Georgian Mathematical Journal 2 Opuscula Mathematica 2 Journal of Applied Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Honam Mathematical Journal 2 Mathematical Inequalities & Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mathematica Sinica. English Series 2 The ANZIAM Journal 2 Nonlinear Analysis. Modelling and Control 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Discrete and Continuous Dynamical Systems. Series B ...and 116 more Serials all top 5 Cited in 50 Fields 893 Ordinary differential equations (34-XX) 380 Difference and functional equations (39-XX) 276 Real functions (26-XX) 121 Operator theory (47-XX) 75 Systems theory; control (93-XX) 63 Dynamical systems and ergodic theory (37-XX) 58 Biology and other natural sciences (92-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 42 Integral equations (45-XX) 29 Partial differential equations (35-XX) 26 Numerical analysis (65-XX) 18 Mechanics of particles and systems (70-XX) 16 Abstract harmonic analysis (43-XX) 16 Integral transforms, operational calculus (44-XX) 15 Quantum theory (81-XX) 13 Functional analysis (46-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Probability theory and stochastic processes (60-XX) 11 Sequences, series, summability (40-XX) 10 Operations research, mathematical programming (90-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Differential geometry (53-XX) 6 Measure and integration (28-XX) 6 Special functions (33-XX) 5 Approximations and expansions (41-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year