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Author ID: hilger.stefan Recent zbMATH articles by "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
803 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 1,524 times in 1,177 Documents Cited by Year
Analysis on measure chains - a unified approach to continuous and discrete calculus. Zbl 0722.39001
Hilger, Stefan
923
1990
Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten. Zbl 0695.34001
Hilger, Stefan
236
1988
Sturmian theory on measure chains. Zbl 0868.39007
Erbe, Lynn; Hilger, Stefan
70
1993
Linear dynamic processes with inhomogeneous time scale. Zbl 0719.34088
Aulbach, Bernd; Hilger, Stefan
65
1990
Differential and difference calculus – unified! Zbl 0927.39002
Hilger, Stefan
51
1997
A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales. Zbl 1009.34033
Došlý, Ondřej; Hilger, Stefan
47
2002
Special functions, Laplace and Fourier transform on measure chains. Zbl 0943.39006
Hilger, Stefan
25
1999
A unified approach to continuous and discrete dynamics. Zbl 0723.34030
Aulbach, B.; Hilger, S.
25
1990
A unified approach to continuous and discrete dynamics. Zbl 0713.34050
Aulbach, B.; Hilger, S.
23
1990
Generalized theorem of Hartman-Grobman on measure chains. Zbl 0853.39007
Hilger, Stefan
8
1996
The category of ladders. Zbl 1193.81028
Hilger, Stefan
7
2010
Matrix Lie theory and measure chains. Zbl 1160.22307
Hilger, Stefan
7
2002
Embeddability of time scale dynamics in ODE dynamics. Zbl 1042.34503
Garay, Barnabas M.; Hilger, Stefan
7
2001
A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030
Eloe, P. W.; Hilger, S.; Sheng, Q.
6
2006
Smoothness of invariant manifolds. Zbl 0762.93041
Hilger, Stefan
5
1992
Factorization of \((q, h)\)-difference operators – an algebraic approach. Zbl 1298.39010
Hilger, Stefan; Filipuk, Galina
4
2014
An application of calculus on measure chains to Fourier theory and Heisenberg’s uncertainty principle. Zbl 1006.43002
Hilger, Stefan
3
2002
Continuous dependence in time scale dynamics. Zbl 1065.39030
Garay, 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 1347.16026
Filipuk, Galina; Hilger, Stefan
2
2016
The discrete and periodic heat and harmonic oscillator equation. Zbl 1132.39013
Hilger, Stefan
2
2007
Linear graininess time scales and ladder operators of orthogonal polynomials. Zbl 1284.26038
Filipuk, Galina; Hilger, Stefan
2
2013
Convergence of time scales under the Fell topology. Zbl 1185.34142
Esty, Norah; Hilger, Stefan
2
2009
The harmonic oscillator – an extension via measure chains. Zbl 1117.39321
Hilger, Stefan
1
2005
Comparative time graininess and asymptotic stability of dynamical systems. Zbl 0855.93072
Hilger, S.; Kloeden, P. E.
1
1994
Algebra embedding of \(U_{q}(sl(2))\) into the tensor product of two \((q,h)\)-Weyl algebras. Zbl 1347.16026
Filipuk, Galina; Hilger, Stefan
2
2016
Factorization of \((q, h)\)-difference operators – an algebraic approach. Zbl 1298.39010
Hilger, Stefan; Filipuk, Galina
4
2014
Linear graininess time scales and ladder operators of orthogonal polynomials. Zbl 1284.26038
Filipuk, Galina; Hilger, Stefan
2
2013
The category of ladders. Zbl 1193.81028
Hilger, Stefan
7
2010
Convergence of time scales under the Fell topology. Zbl 1185.34142
Esty, Norah; Hilger, Stefan
2
2009
The discrete and periodic heat and harmonic oscillator equation. Zbl 1132.39013
Hilger, Stefan
2
2007
A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030
Eloe, P. W.; Hilger, S.; Sheng, Q.
6
2006
The harmonic oscillator – an extension via measure chains. Zbl 1117.39321
Hilger, Stefan
1
2005
Continuous dependence in time scale dynamics. Zbl 1065.39030
Garay, 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 1009.34033
Došlý, Ondřej; Hilger, Stefan
47
2002
Matrix Lie theory and measure chains. Zbl 1160.22307
Hilger, Stefan
7
2002
An application of calculus on measure chains to Fourier theory and Heisenberg’s uncertainty principle. Zbl 1006.43002
Hilger, Stefan
3
2002
Embeddability of time scale dynamics in ODE dynamics. Zbl 1042.34503
Garay, Barnabas M.; Hilger, Stefan
7
2001
Special functions, Laplace and Fourier transform on measure chains. Zbl 0943.39006
Hilger, Stefan
25
1999
Differential and difference calculus – unified! Zbl 0927.39002
Hilger, Stefan
51
1997
Generalized theorem of Hartman-Grobman on measure chains. Zbl 0853.39007
Hilger, Stefan
8
1996
Comparative time graininess and asymptotic stability of dynamical systems. Zbl 0855.93072
Hilger, S.; Kloeden, P. E.
1
1994
Sturmian theory on measure chains. Zbl 0868.39007
Erbe, Lynn; Hilger, Stefan
70
1993
Smoothness of invariant manifolds. Zbl 0762.93041
Hilger, Stefan
5
1992
Analysis on measure chains - a unified approach to continuous and discrete calculus. Zbl 0722.39001
Hilger, Stefan
923
1990
Linear dynamic processes with inhomogeneous time scale. Zbl 0719.34088
Aulbach, Bernd; Hilger, Stefan
65
1990
A unified approach to continuous and discrete dynamics. Zbl 0723.34030
Aulbach, B.; Hilger, S.
25
1990
A unified approach to continuous and discrete dynamics. Zbl 0713.34050
Aulbach, B.; Hilger, S.
23
1990
Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten. Zbl 0695.34001
Hilger, Stefan
236
1988
all top 5

Cited by 983 Authors

54 Bohner, Martin J.
49 Agarwal, Ravi P.
30 Li, Tongxing
29 Saker, Samir H.
27 Anderson, Douglas Robert
27 O’Regan, Donal
25 Peterson, Allan C.
23 Erbe, Lynn Harry
22 Šimon Hilscher, Roman
21 Eldeeb, Ahmed Abdel-Moneim
21 Han, Zhenlai
21 Li, Yongkun
20 Hassan, Taher S.
19 Sun, Shurong
18 Li, Wan-Tong
18 Qiu, Yangcong
16 Grace, Said Rezk
16 Sun, Hongrui
16 Torres, Delfim Fernando Marado
16 Wang, Chao
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
11 Sun, Taixiang
11 Zeidan, Vera Michel
10 Henderson, Johnny Lee
10 Li, Weinian
10 Malinowska, Agnieszka Barbara
10 Meng, Fanwei
10 Oganesyan, Gro R.
10 Su, Youhui
9 Ardjouni, Abdelouaheb
9 Djoudi, Ahcene
9 Dogan, Abdulkadir
9 Feng, Qinghua
9 Karpuz, Başak
9 Prasad, Kapula Rajendra
9 Shah, Syed Omar
9 Tuna, Hüseyin
9 Wang, Dabin
9 Zhang, Jimin
8 Ge, Weigao
8 Kong, Qingkai
8 Malik, Muslim
8 Martins, Natália F.
8 Nguyen Huu Du
8 Pečarić, Josip
8 Slavík, Antonín
8 Stehlík, Petr
8 Xi, Hongjian
8 Zhang, Yi
7 Chyan, Chuan Jen
7 Defoort, Michael
7 Djemai, Mohamed
7 Eloe, Paul W.
7 Elsennary, Hamza A.
7 Fan, Meng
7 Guan, Wen
7 Hong, Shihuang
7 Khan, Zareen Abdulhameed
7 Liu, Haidong
7 Yang, Li
7 Yaslan Karaca, Ilkay
7 Yılmaz, Emrah Sercan
7 Zemánek, Petr
7 Zheng, Bin
6 Allahverdiev, Bilender Paşaoğlu
6 Bartosiewicz, Zbigniew
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 Pachpatte, Deepak B.
6 Pötzsche, Christian
6 Rashid, Saima
6 Řehák, Pavel
6 Sheng, Qin
6 Tang, Shuhong
6 Tisdell, Christopher C.
6 Vítovec, Jiří
6 Xia, Yonghui
6 Zhang, Chao
5 Akın-Bohner, Elvan
5 Amster, Pablo
5 Aulbach, Bernd
5 Băleanu, Dumitru I.
5 Boukerrioua, Khaled
5 Chhatria, Gokula Nanda
5 Choi, Sungkyu
...and 883 more Authors
all top 5

Cited in 207 Serials

153 Advances in Difference Equations
75 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
27 Journal of Inequalities and Applications
24 Mathematical and Computer Modelling
23 Journal of Applied Mathematics and Computing
21 Applied Mathematics Letters
16 Rocky Mountain Journal of Mathematics
13 Journal of Mathematical Physics
13 Journal of Applied Mathematics
12 Results in Mathematics
11 Differential Equations and Dynamical Systems
11 Qualitative Theory of Dynamical Systems
10 Mathematical Methods in the Applied Sciences
10 Turkish Journal of Mathematics
10 Boundary Value Problems
9 Journal of Differential Equations
9 Communications in Nonlinear Science and Numerical Simulation
9 Nonlinear Analysis. Hybrid Systems
9 Journal of Nonlinear Science and Applications
8 Acta Applicandae Mathematicae
8 Filomat
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Journal of Mathematical Sciences (New York)
7 Mediterranean Journal of Mathematics
7 Differential Equations and Applications
6 Nonlinear Analysis. Real World Applications
6 Kragujevac Journal of Mathematics
6 International Journal of Differential Equations
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Journal of Function Spaces
5 Applicable Analysis
5 Computational and Applied Mathematics
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 Chaos, Solitons and Fractals
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 Integral Transforms and Special Functions
4 Arab Journal of Mathematical Sciences
4 Communications in Mathematical Analysis
4 Journal of Mathematical Inequalities
4 Advances in Mathematical Physics
4 Science China. Mathematics
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 Nonautonomous Dynamical Systems
3 AIMS Mathematics
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 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 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 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
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Foundations of Physics
2 Nonlinear Oscillations
2 Applications and Applied Mathematics
2 Applicable Analysis and Discrete Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
...and 107 more Serials
all top 5

Cited in 50 Fields

866 Ordinary differential equations (34-XX)
375 Difference and functional equations (39-XX)
254 Real functions (26-XX)
116 Operator theory (47-XX)
72 Systems theory; control (93-XX)
60 Dynamical systems and ergodic theory (37-XX)
57 Biology and other natural sciences (92-XX)
45 Calculus of variations and optimal control; optimization (49-XX)
41 Integral equations (45-XX)
27 Partial differential equations (35-XX)
23 Numerical analysis (65-XX)
14 Abstract harmonic analysis (43-XX)
14 Integral transforms, operational calculus (44-XX)
14 Mechanics of particles and systems (70-XX)
14 Quantum theory (81-XX)
13 Global analysis, analysis on manifolds (58-XX)
12 Functional analysis (46-XX)
12 Probability theory and stochastic processes (60-XX)
10 Operations research, mathematical programming (90-XX)
9 Sequences, series, summability (40-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Measure and integration (28-XX)
7 Special functions (33-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Differential geometry (53-XX)
6 Approximations and expansions (41-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Number theory (11-XX)
3 Associative rings and algebras (16-XX)
3 General topology (54-XX)
3 Statistics (62-XX)
3 Computer science (68-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 Information and communication theory, circuits (94-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 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-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