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Hyers, Donald H.

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Author ID: hyers.donald-h Recent zbMATH articles by "Hyers, Donald H."
Published as: Hyers, D. H.; Hyers, Donald H.
Documents Indexed: 53 Publications since 1935, including 2 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

33 Publications have been cited 2,732 times in 1,690 Documents Cited by Year
On the stability of the linear functional equation. Zbl 0061.26403
Hyers, D. H.
1941
Stability of functional equations in several variables. Zbl 0907.39025
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
559
1998
On the stability of the linear functional equation. JFM 67.0424.01
Hyers, D. H.
252
1941
On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012
Hyers, D. H.; Isac, G.; Rassias, Th. M.
210
1998
Approximate homomorphisms. Zbl 0806.47056
Hyers, Donald H.; Rassias, Themistocles M.
181
1992
Topics in nonlinear analysis and applications. Zbl 0878.47040
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
78
1997
The existence of solitary waves. Zbl 0057.42204
Friedrichs, K. O.; Hyers, D. H.
76
1954
Approximately convex functions. Zbl 0047.29505
Hyers, D. H.; Ulam, S. M.
67
1952
On approximate isometries. Zbl 0060.26404
Hyers, D. H.; Ulam, S. M.
66
1945
Approximate isometries of the space of continuous functions. Zbl 0029.36701
Hyers, D. H.; Ulam, S. M.
29
1947
The stability of homomorphisms and related topics. Zbl 0517.22001
Hyers, D. H.
22
1983
Transformations with bounded \(m\)-th differences. Zbl 0099.10501
Hyers, D. H.
15
1961
On the stability of differential expressions. Zbl 0057.09905
Ulam, S. M.; Hyers, D. H.
11
1954
Linear topological spaces. Zbl 0060.26501
Hyers, D. H.
11
1945
Locally bounded linear topological spaces. Zbl 0060.26502
Hyers, D. H.
7
1939
A note on linear topological spaces. Zbl 0018.27702
Hyers, D. H.
7
1938
Second order differential equations with two point boundary conditions in general analysis. Zbl 0014.31402
Michal, A. D.; Hyers, D. H.
6
1936
Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101
Hyers, D. H.
5
1939
Theory and applications of abstract normal coordinates in a general differential geometry. JFM 64.1369.01
Michal, A. D.; Hyers, D. H.
5
1938
Polynomial operators. Zbl 0762.46037
Hyers, D. H.
4
1989
On the stability of minimum points. Zbl 0374.49010
Hyers, D. H.
4
1978
On the stability of stationary points. Zbl 0225.26014
Hyers, D. H.
2
1971
Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402
Hyers, D. H.
2
1967
A generalization of Frechet’s differential. Zbl 0061.24905
Hyers, D. H.
2
1941
Differential invariants in a general differential geometry. Zbl 0020.36905
Michal, Aristotle D.; Hyers, Donald H.
2
1939
Pseudo-normed linear spaces and abelian groups. JFM 65.0498.01
Hyers, D. H.
2
1939
On approximate isometries. (Reprint). Zbl 0845.39014
Hyers, D. H.; Ulam, S. M.
1
1994
The existence of symmetric steady flows near critical speed. Zbl 0121.43202
Hyers, D. H.; Kyner, W. T.
1
1963
On the local uniqueness problem for periodic surface waves of permanent type in a channel type in a channel of infinite depth. Zbl 0080.19503
Hyers, D. H.; Ferling, J. A.
1
1957
A generalization of Frechet’s differential. Zbl 0063.02949
Hyers, D. H.
1
1945
Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701
Michal, Aristotle D.; Hyers, Donald H.
1
1938
A note on linear topological spaces. JFM 64.0367.02
Hyers, D. H.
1
1938
On functional equations in linear topological spaces. Zbl 0017.36002
Hyers, D. H.
1
1937
Stability of functional equations in several variables. Zbl 0907.39025
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
559
1998
On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012
Hyers, D. H.; Isac, G.; Rassias, Th. M.
210
1998
Topics in nonlinear analysis and applications. Zbl 0878.47040
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
78
1997
On approximate isometries. (Reprint). Zbl 0845.39014
Hyers, D. H.; Ulam, S. M.
1
1994
Approximate homomorphisms. Zbl 0806.47056
Hyers, Donald H.; Rassias, Themistocles M.
181
1992
Polynomial operators. Zbl 0762.46037
Hyers, D. H.
4
1989
The stability of homomorphisms and related topics. Zbl 0517.22001
Hyers, D. H.
22
1983
On the stability of minimum points. Zbl 0374.49010
Hyers, D. H.
4
1978
On the stability of stationary points. Zbl 0225.26014
Hyers, D. H.
2
1971
Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402
Hyers, D. H.
2
1967
The existence of symmetric steady flows near critical speed. Zbl 0121.43202
Hyers, D. H.; Kyner, W. T.
1
1963
Transformations with bounded \(m\)-th differences. Zbl 0099.10501
Hyers, D. H.
15
1961
On the local uniqueness problem for periodic surface waves of permanent type in a channel type in a channel of infinite depth. Zbl 0080.19503
Hyers, D. H.; Ferling, J. A.
1
1957
The existence of solitary waves. Zbl 0057.42204
Friedrichs, K. O.; Hyers, D. H.
76
1954
On the stability of differential expressions. Zbl 0057.09905
Ulam, S. M.; Hyers, D. H.
11
1954
Approximately convex functions. Zbl 0047.29505
Hyers, D. H.; Ulam, S. M.
67
1952
Approximate isometries of the space of continuous functions. Zbl 0029.36701
Hyers, D. H.; Ulam, S. M.
29
1947
On approximate isometries. Zbl 0060.26404
Hyers, D. H.; Ulam, S. M.
66
1945
Linear topological spaces. Zbl 0060.26501
Hyers, D. H.
11
1945
A generalization of Frechet’s differential. Zbl 0063.02949
Hyers, D. H.
1
1945
On the stability of the linear functional equation. Zbl 0061.26403
Hyers, D. H.
1941
On the stability of the linear functional equation. JFM 67.0424.01
Hyers, D. H.
252
1941
A generalization of Frechet’s differential. Zbl 0061.24905
Hyers, D. H.
2
1941
Locally bounded linear topological spaces. Zbl 0060.26502
Hyers, D. H.
7
1939
Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101
Hyers, D. H.
5
1939
Differential invariants in a general differential geometry. Zbl 0020.36905
Michal, Aristotle D.; Hyers, Donald H.
2
1939
Pseudo-normed linear spaces and abelian groups. JFM 65.0498.01
Hyers, D. H.
2
1939
A note on linear topological spaces. Zbl 0018.27702
Hyers, D. H.
7
1938
Theory and applications of abstract normal coordinates in a general differential geometry. JFM 64.1369.01
Michal, A. D.; Hyers, D. H.
5
1938
Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701
Michal, Aristotle D.; Hyers, Donald H.
1
1938
A note on linear topological spaces. JFM 64.0367.02
Hyers, D. H.
1
1938
On functional equations in linear topological spaces. Zbl 0017.36002
Hyers, D. H.
1
1937
Second order differential equations with two point boundary conditions in general analysis. Zbl 0014.31402
Michal, A. D.; Hyers, D. H.
6
1936
all top 5

Cited by 1,125 Authors

184 Park, Choonkil
103 Eshaghi Gordji, Madjid
88 Jung, Soon-Mo
71 Rassias, John Michael
58 Brzdęk, Janusz
47 Lee, Yang-Hi
47 Rassias, Themistocles Michael
45 Lee, Jung-Rye
42 Chung, Jaeyoung
38 Kim, Hark-Mahn
36 Najati, Abbas
34 Shin, Dong-Yun
32 Saadati, Reza
31 Cho, Yeol Je
31 Zada, Akbar
30 Bodaghi, Abasalt
29 El-Fassi, Iz-Iddine
28 Khodaei, Hamid
28 Kim, Gwang Hui
26 Kabbaj, Samir
26 Popa, Dorian
24 Ebadian, Ali
23 Park, Wongil
22 Bae, Jae-Hyeong
22 Shah, Kamal
21 Moslehian, Mohammad Sal
20 Chang, Ick-Soon
20 Jun, Kil-Woung
19 Wang, Jinrong
18 Azadi-Kenary, Hassan
17 Ciepliński, Krzysztof
17 Li, Yongjin
17 Rezaei, Hamid
16 Sahoo, Prasanna K.
15 Xu, Tianzhou
14 Almahalebi, Muaadh
14 Ghaemi, Mohammad Bagher
14 Lee, Young-Su
14 Noor, Muhammad Aslam
14 Sintunavarat, Wutiphol
13 Bahyrycz, Anna
12 Benchohra, Mouffak
12 Du, Wei-Shih
12 Eskandani, Golamreza Zamani
12 Ghobadipour, Norouz
12 Sikorska, Justyna
12 Xu, Bing
11 Abbas, Said
11 Hyers, Donald H.
11 Isac, George
11 Kang, DongSeung
11 Mohiuddine, Syed Abdul
11 Tabor, Jacek
11 Wang, Zhihua
10 Charifi, Ahmed
10 Chung, Soon-Yeong
10 Jang, Sunyoung
10 Noor, Khalida Inayat
10 Páles, Zsolt
10 Roh, Jaiok
10 Sadeghi, Ghadir
10 Senthil Kumar, B. V.
10 Tabor, Józef
9 Alizadeh, Badrkhan
9 Cheng, Lixin
9 Chmieliński, Jacek
9 Chudziak, Jacek
9 Dong, Yunbai
9 Jung, Yong-Soo
9 Lee, Young Whan
9 Piszczek, Magdalena
9 Safdar, Farhat
9 Shen, Yonghong
8 Bavand Savadkouhi, Meysam
8 Choi, Chang-Kwon
8 Forti, Gian Luigi
8 Găvruţă, Paşc
8 Kenary, H. Azadi
8 Kim, Sang Og
8 Miura, Takeshi
8 Onitsuka, Masakazu
8 Rasa, Ioan
8 Székelyhidi, László
8 Takahasi, Sin-Ei
8 Väth, Martin
8 Zhou, Yong
8 Zolfaghari, Somayyeh
7 Aiemsomboon, Laddawan
7 Badora, Roman
7 Chahbi, Abdellatif
7 Chu, Hahng-Yun
7 Jin, Sunsook
7 Khan, Rahmat Ali
7 Lee, Juri
7 Majani, Hamid
7 Michal, Aristotle Demetrius
7 Olko, Jolanta
7 Pinelas, Sandra
7 Rassias, Michael Th.
7 Shah, Syed Omar
...and 1,025 more Authors
all top 5

Cited in 264 Serials

185 Journal of Mathematical Analysis and Applications
118 Journal of Inequalities and Applications
100 Abstract and Applied Analysis
78 Advances in Difference Equations
67 Aequationes Mathematicae
50 Results in Mathematics
41 Journal of Function Spaces
40 Journal of Fixed Point Theory and Applications
38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Applied Mathematics Letters
31 Fixed Point Theory and Applications
29 Acta Mathematica Sinica. English Series
25 Acta Mathematica Hungarica
22 Applied Mathematics and Computation
21 Proceedings of the American Mathematical Society
20 Demonstratio Mathematica
17 Discrete Dynamics in Nature and Society
15 Bulletin of the Australian Mathematical Society
15 Journal of Nonlinear Science and Applications
14 Archive for Rational Mechanics and Analysis
14 Journal of Mathematical Physics
13 International Journal of Geometric Methods in Modern Physics
13 Korean Journal of Mathematics
12 Journal of Applied Mathematics
12 Tbilisi Mathematical Journal
12 Journal of Linear and Topological Algebra
11 Fuzzy Sets and Systems
11 Transactions of the American Mathematical Society
11 Journal of Mathematical Inequalities
10 Computers & Mathematics with Applications
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 International Journal of Mathematics and Mathematical Sciences
8 Journal of Approximation Theory
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8 Mathematical Sciences
8 Mathematics
7 Functional Analysis and its Applications
7 Journal of Functional Analysis
7 Mathematische Annalen
7 Mathematica Slovaca
7 Indagationes Mathematicae. New Series
7 Mediterranean Journal of Mathematics
7 Proyecciones
7 Afrika Matematika
6 Mathematical and Computer Modelling
6 Journal of Global Optimization
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Journal of Difference Equations and Applications
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
5 Ukrainian Mathematical Journal
5 Advances in Mathematics
5 Journal of Computational and Applied Mathematics
5 Rendiconti del Seminario Matemàtico e Fisico di Milano
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Journal of Function Spaces and Applications
5 Bulletin of the American Mathematical Society
5 Asian-European Journal of Mathematics
4 Acta Mechanica
4 Indian Journal of Pure & Applied Mathematics
4 Journal of Fluid Mechanics
4 Chaos, Solitons and Fractals
4 Journal of Differential Equations
4 Journal of Optimization Theory and Applications
4 Kyungpook Mathematical Journal
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Acta Applicandae Mathematicae
4 The Journal of Analysis
4 Bulletin des Sciences Mathématiques
4 Honam Mathematical Journal
4 Analysis (München)
4 Communications of the Korean Mathematical Society
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Applied Mathematics E-Notes
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
4 Iranian Journal of Fuzzy Systems
4 Banach Journal of Mathematical Analysis
4 East Asian Mathematical Journal
4 International Journal of Analysis and Applications
4 International Journal of Applied and Computational Mathematics
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematica Vietnamica
3 Compositio Mathematica
3 Information Sciences
3 Mathematische Nachrichten
3 Quaestiones Mathematicae
3 Zeitschrift für Analysis und ihre Anwendungen
3 Optimization
3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 Russian Journal of Mathematical Physics
3 Georgian Mathematical Journal
3 Journal of Convex Analysis
3 Complexity
3 Mathematical Problems in Engineering
3 Journal of Mathematical Fluid Mechanics
3 Qualitative Theory of Dynamical Systems
3 Journal of Applied Mathematics and Computing
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Journal of Intelligent and Fuzzy Systems
3 Boundary Value Problems
...and 164 more Serials
all top 5

Cited in 52 Fields

1,153 Difference and functional equations (39-XX)
434 Functional analysis (46-XX)
308 Operator theory (47-XX)
170 Ordinary differential equations (34-XX)
121 Real functions (26-XX)
91 Partial differential equations (35-XX)
85 General topology (54-XX)
69 Fluid mechanics (76-XX)
36 Integral equations (45-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
33 Nonassociative rings and algebras (17-XX)
30 Approximations and expansions (41-XX)
29 Operations research, mathematical programming (90-XX)
25 Numerical analysis (65-XX)
24 Dynamical systems and ergodic theory (37-XX)
21 Group theory and generalizations (20-XX)
15 Abstract harmonic analysis (43-XX)
15 Convex and discrete geometry (52-XX)
14 Functions of a complex variable (30-XX)
11 Number theory (11-XX)
11 Associative rings and algebras (16-XX)
11 Topological groups, Lie groups (22-XX)
9 Probability theory and stochastic processes (60-XX)
7 Mathematical logic and foundations (03-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Field theory and polynomials (12-XX)
6 Measure and integration (28-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Special functions (33-XX)
5 Algebraic topology (55-XX)
4 General and overarching topics; collections (00-XX)
4 Commutative algebra (13-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Mechanics of deformable solids (74-XX)
4 Geophysics (86-XX)
4 Biology and other natural sciences (92-XX)
4 Systems theory; control (93-XX)
3 History and biography (01-XX)
3 Integral transforms, operational calculus (44-XX)
3 Geometry (51-XX)
3 Computer science (68-XX)
3 Quantum theory (81-XX)
2 Combinatorics (05-XX)
2 Potential theory (31-XX)
2 Differential geometry (53-XX)
2 Information and communication theory, circuits (94-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year