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Author ID: hilger.stefan Recent zbMATH articles by "Hilger, Stefan"
Published as: Hilger, Stefan; Hilger, S.

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 1,865 times in 1,393 Documents Cited by Year
Analysis on measure chains - a unified approach to continuous and discrete calculus. Zbl 0722.39001
Hilger, Stefan
1990
Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten. Zbl 0695.34001
Hilger, Stefan
405
1988
Linear dynamic processes with inhomogeneous time scale. Zbl 0719.34088
Aulbach, Bernd; Hilger, Stefan
116
1990
Sturmian theory on measure chains. Zbl 0868.39007
Erbe, Lynn; Hilger, Stefan
72
1993
Differential and difference calculus – unified! Zbl 0927.39002
Hilger, Stefan
59
1997
A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales. Zbl 1009.34033
Došlý, Ondřej; Hilger, Stefan
48
2002
A unified approach to continuous and discrete dynamics. Zbl 0723.34030
Aulbach, B.; Hilger, S.
37
1990
A unified approach to continuous and discrete dynamics. Zbl 0713.34050
Aulbach, B.; Hilger, S.
30
1990
Special functions, Laplace and Fourier transform on measure chains. Zbl 0943.39006
Hilger, Stefan
29
1999
Generalized theorem of Hartman-Grobman on measure chains. Zbl 0853.39007
Hilger, Stefan
10
1996
Smoothness of invariant manifolds. Zbl 0762.93041
Hilger, Stefan
7
1992
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
The category of ladders. Zbl 1193.81028
Hilger, Stefan
7
2010
An application of calculus on measure chains to Fourier theory and Heisenberg’s uncertainty principle. Zbl 1006.43002
Hilger, Stefan
6
2002
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
Factorization of \((q, h)\)-difference operators – an algebraic approach. Zbl 1298.39010
Hilger, Stefan; Filipuk, Galina
4
2014
Continuous dependence in time scale dynamics. Zbl 1065.39030
Garay, Barnabas M.; Hilger, Stefan; Kloeden, Peter E.
2
2004
The discrete and periodic heat and harmonic oscillator equation. Zbl 1132.39013
Hilger, Stefan
2
2007
Convergence of time scales under the Fell topology. Zbl 1185.34142
Esty, Norah; Hilger, Stefan
2
2009
Comparative time graininess and asymptotic stability of dynamical systems. Zbl 0855.93072
Hilger, S.; Kloeden, P. E.
2
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
Linear graininess time scales and ladder operators of orthogonal polynomials. Zbl 1284.26038
Filipuk, Galina; Hilger, Stefan
2
2013
The harmonic oscillator – an extension via measure chains. Zbl 1117.39321
Hilger, Stefan
1
2005
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
48
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
6
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
29
1999
Differential and difference calculus – unified! Zbl 0927.39002
Hilger, Stefan
59
1997
Generalized theorem of Hartman-Grobman on measure chains. Zbl 0853.39007
Hilger, Stefan
10
1996
Comparative time graininess and asymptotic stability of dynamical systems. Zbl 0855.93072
Hilger, S.; Kloeden, P. E.
2
1994
Sturmian theory on measure chains. Zbl 0868.39007
Erbe, Lynn; Hilger, Stefan
72
1993
Smoothness of invariant manifolds. Zbl 0762.93041
Hilger, Stefan
7
1992
Analysis on measure chains - a unified approach to continuous and discrete calculus. Zbl 0722.39001
Hilger, Stefan
1990
Linear dynamic processes with inhomogeneous time scale. Zbl 0719.34088
Aulbach, Bernd; Hilger, Stefan
116
1990
A unified approach to continuous and discrete dynamics. Zbl 0723.34030
Aulbach, B.; Hilger, S.
37
1990
A unified approach to continuous and discrete dynamics. Zbl 0713.34050
Aulbach, B.; Hilger, S.
30
1990
Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten. Zbl 0695.34001
Hilger, Stefan
405
1988
all top 5

Cited by 1,159 Authors

63 Agarwal, Ravi P.
57 Bohner, Martin J.
37 O’Regan, Donal
30 Li, Tongxing
29 Saker, Samir H.
29 Wang, Chao
28 Anderson, Douglas Robert
26 Li, Yongkun
26 Peterson, Allan C.
25 Eldeeb, Ahmed Abdel-Moneim
24 Erbe, Lynn Harry
22 Šimon Hilscher, Roman
21 Han, Zhenlai
21 Hassan, Taher S.
20 Grace, Said Rezk
20 Torres, Delfim Fernando Marado
19 Li, Wan-Tong
19 Sun, Shurong
18 Abbas, Syed
18 Qiu, Yangcong
17 Sun, Hongrui
15 Hilger, Stefan
15 Malik, Muslim
15 Sun, Jianping
14 Ardjouni, Abdelouaheb
14 Djoudi, Ahcene
14 Wang, Qiru
14 Zada, Akbar
14 Zhang, Yi
13 Guseinov, Gusein Sh.
13 Kaymakçalan, Billur
13 Meng, Fanwei
13 Tuna, Hüseyin
13 Zhang, Chenghui
12 Davis, John M.
12 Henderson, Johnny Lee
12 Sun, Taixiang
11 Oganesyan, Gro R.
11 Su, Youhui
11 Yaslan Karaca, Ilkay
11 Yılmaz, Emrah Sercan
11 Zeidan, Vera Michel
10 Allahverdiev, Bilender Paşaoğlu
10 Karpuz, Başak
10 Kumar, Vipin
10 Li, Weinian
10 Liu, Haidong
10 Malinowska, Agnieszka Barbara
10 Shah, Syed Omar
9 Chhatria, Gokula Nanda
9 Djemai, Mohamed
9 Dogan, Abdulkadir
9 Feng, Qinghua
9 Martins, Natália F.
9 Nwaeze, Eze Raymond
9 Prasad, Kapula Rajendra
9 Tokmak Fen, Fatma
9 Wang, Dabin
9 Zhang, Jimin
8 Bartosiewicz, Zbigniew
8 Defoort, Michael
8 Ge, Weigao
8 Hong, Shihuang
8 Kong, Qingkai
8 Nguyen Huu Du
8 Pečarić, Josip
8 Slavík, Antonín
8 Stehlík, Petr
8 Tian, Jingfeng
8 Xi, Hongjian
8 Zemánek, Petr
7 Chyan, Chuan Jen
7 Dhama, Soniya
7 Eloe, Paul W.
7 Elsennary, Hamza A.
7 Fan, Meng
7 Guan, Wen
7 Gulsen, Tuba
7 Khan, Zareen Abdulhameed
7 Mesquita, Jaqueline Godoy
7 Xia, Yonghui
7 Yang, Li
7 Zhang, Chao
7 Zheng, Bin
6 Adivar, Murat
6 Altin, Yavuz
6 Băleanu, Dumitru I.
6 Boukerrioua, Khaled
6 Diblík, Josef
6 Ferreira, Rui A. C.
6 Georgiev, Svetlin Georgiev
6 Girejko, Ewa
6 Gravagne, Ian A.
6 Hamza, Alaa E.
6 Hu, Meng
6 Kermausuor, Seth
6 Kong, Lingju
6 Koo, Namjip
6 Koyunbakan, Hikmet
6 Luo, Hua
...and 1,059 more Authors
all top 5

Cited in 240 Serials

164 Advances in Difference Equations
77 Journal of Mathematical Analysis and Applications
63 Computers & Mathematics with Applications
57 Applied Mathematics and Computation
57 Abstract and Applied Analysis
54 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
43 Discrete Dynamics in Nature and Society
41 Journal of Computational and Applied Mathematics
40 Journal of Difference Equations and Applications
38 Journal of Inequalities and Applications
28 Mathematical and Computer Modelling
27 Applied Mathematics Letters
24 Journal of Applied Mathematics and Computing
21 Mathematical Methods in the Applied Sciences
18 Qualitative Theory of Dynamical Systems
17 Rocky Mountain Journal of Mathematics
16 Boundary Value Problems
15 Journal of Mathematical Physics
14 Turkish Journal of Mathematics
13 Journal of Applied Mathematics
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
12 Results in Mathematics
12 Differential Equations and Dynamical Systems
11 Communications in Nonlinear Science and Numerical Simulation
11 Mediterranean Journal of Mathematics
10 Acta Applicandae Mathematicae
10 Nonlinear Analysis. Hybrid Systems
10 Journal of Nonlinear Science and Applications
9 Journal of Differential Equations
9 Journal of Mathematical Inequalities
9 Differential Equations and Applications
8 Applicable Analysis
8 Journal of Mathematical Sciences (New York)
8 Filomat
7 International Journal of Differential Equations
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Journal of Applied Analysis and Computation
7 Journal of Function Spaces
6 Chaos, Solitons and Fractals
6 Integral Transforms and Special Functions
6 Doklady Mathematics
6 Nonlinear Analysis. Real World Applications
6 Kragujevac Journal of Mathematics
6 Advances in Mathematical Physics
6 Open Mathematics
5 International Journal of Control
5 Ukrainian Mathematical Journal
5 Mathematische Nachrichten
5 Computational and Applied Mathematics
5 Georgian Mathematical Journal
5 Nonautonomous Dynamical Systems
4 Indian Journal of Pure & Applied Mathematics
4 Journal of the Franklin Institute
4 Mathematical Notes
4 Proceedings of the American Mathematical Society
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Acta Mathematicae Applicatae Sinica. English Series
4 MCSS. Mathematics of Control, Signals, and Systems
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Electronic Journal of Differential Equations (EJDE)
4 Complexity
4 Arab Journal of Mathematical Sciences
4 Mathematical Problems in Engineering
4 Mathematical Inequalities & Applications
4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
4 Hacettepe Journal of Mathematics and Statistics
4 Communications in Mathematical Analysis
4 Science China. Mathematics
4 Electronic Journal of Mathematical Analysis and Applications EJMAA
4 Applied Mathematics and Nonlinear Sciences
3 Acta Mathematica Vietnamica
3 Journal of Optimization Theory and Applications
3 Mathematica Slovaca
3 Quaestiones Mathematicae
3 Systems & Control Letters
3 Communications in Statistics. Theory and Methods
3 Journal of the Egyptian Mathematical Society
3 Fractals
3 Opuscula Mathematica
3 Journal of Dynamical Systems and Geometric Theories
3 Applications and Applied Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
3 Symmetry
3 AIMS Mathematics
2 Acta Mechanica
2 Bulletin of the Australian Mathematical Society
2 Reports on Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Demonstratio Mathematica
2 Hiroshima Mathematical Journal
2 Journal of Functional Analysis
2 Ricerche di Matematica
2 Circuits, Systems, and Signal Processing
2 Applied Mathematics and Mechanics. (English Edition)
2 Stochastic Analysis and Applications
2 Facta Universitatis. Series Mathematics and Informatics
2 Topological Methods in Nonlinear Analysis
2 International Applied Mechanics
2 Memoirs on Differential Equations and Mathematical Physics
2 Journal of Applied Analysis
...and 140 more Serials
all top 5

Cited in 49 Fields

1,008 Ordinary differential equations (34-XX)
407 Difference and functional equations (39-XX)
337 Real functions (26-XX)
141 Operator theory (47-XX)
90 Systems theory; control (93-XX)
73 Biology and other natural sciences (92-XX)
67 Dynamical systems and ergodic theory (37-XX)
51 Integral equations (45-XX)
47 Calculus of variations and optimal control; optimization (49-XX)
37 Partial differential equations (35-XX)
27 Numerical analysis (65-XX)
25 Abstract harmonic analysis (43-XX)
20 Mechanics of particles and systems (70-XX)
19 Integral transforms, operational calculus (44-XX)
17 Sequences, series, summability (40-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Functional analysis (46-XX)
14 Probability theory and stochastic processes (60-XX)
14 Quantum theory (81-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Operations research, mathematical programming (90-XX)
10 Special functions (33-XX)
8 Measure and integration (28-XX)
8 Approximations and expansions (41-XX)
7 Differential geometry (53-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 General topology (54-XX)
4 Number theory (11-XX)
4 Statistics (62-XX)
4 Computer science (68-XX)
3 Associative rings and algebras (16-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-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 Fluid mechanics (76-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Potential theory (31-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year