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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
2 Further Contributions
Biographic References: 1 Publication
Co-Authors: 7 Co-Authors with 26 Joint Publications
268 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 2,928 times in 1,969 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.
429
1998
On the stability of the linear functional equation. JFM 67.0424.01
Hyers, D. H.
402
1941
On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012
Hyers, D. H.; Isac, G.; Rassias, Th. M.
227
1998
Approximate homomorphisms. Zbl 0806.47056
Hyers, Donald H.; Rassias, Themistocles M.
192
1992
The existence of solitary waves. Zbl 0057.42204
Friedrichs, K. O.; Hyers, D. H.
81
1954
Approximately convex functions. Zbl 0047.29505
Hyers, D. H.; Ulam, S. M.
77
1952
On approximate isometries. Zbl 0060.26404
Hyers, D. H.; Ulam, S. M.
77
1945
Topics in nonlinear analysis and applications. Zbl 0878.47040
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
73
1997
Modern nonlinear equations. Zbl 0148.28202
Saaty, Thomas L.
70
1967
Approximate isometries of the space of continuous functions. Zbl 0029.36701
Hyers, D. H.; Ulam, S. M.
33
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.
17
1961
Modern nonlinear equations. Corr. reprint of the 1967 orig. Zbl 0546.00003
Saaty, Thomas L.
15
1981
On the stability of differential expressions. Zbl 0057.09905
Ulam, S. M.; Hyers, D. H.
13
1954
Linear topological spaces. Zbl 0060.26501
Hyers, D. H.
12
1945
Locally bounded linear topological spaces. Zbl 0060.26502
Hyers, D. H.
8
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
Theory and applications of abstract normal coordinates in a general differential geometry. JFM 64.1369.01
Michal, A. D.; Hyers, D. H.
5
1938
Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101
Hyers, D. H.
5
1939
On the stability of minimum points. Zbl 0374.49010
Hyers, D. H.
5
1978
Polynomial operators. Zbl 0762.46037
Hyers, D. H.
4
1989
A note on linear topological spaces. JFM 64.0367.02
Hyers, D. H.
3
1938
On the stability of stationary points. Zbl 0225.26014
Hyers, D. H.
3
1971
Pseudo-normed linear spaces and abelian groups. JFM 65.0498.01
Hyers, D. H.
2
1939
Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402
Hyers, D. H.
2
1967
Differential invariants in a general differential geometry. Zbl 0020.36905
Michal, Aristotle D.; Hyers, Donald H.
2
1939
A generalization of Frechet’s differential. Zbl 0061.24905
Hyers, D. H.
2
1941
Locally bounded linear topological spaces. JFM 65.1314.02
Hyers, D. H.
1
1939
On the stability of the linear functional equation. (Reprint). Zbl 0844.39001
Hyers, D. H.
1
1994
On functional equations in linear topological spaces. Zbl 0017.36002
Hyers, D. H.
1
1937
Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701
Michal, Aristotle D.; Hyers, Donald H.
1
1938
A generalization of Frechet’s differential. Zbl 0063.02949
Hyers, D. H.
1
1945
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 symmetric steady flows near critical speed. Zbl 0121.43202
Hyers, D. H.; Kyner, W. T.
1
1963
Some nonlinear integral equations of hydrodynamics. Zbl 0124.31206
Hyers, D. H.
1
1964
Stability of functional equations in several variables. Zbl 0907.39025
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
429
1998
On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012
Hyers, D. H.; Isac, G.; Rassias, Th. M.
227
1998
Topics in nonlinear analysis and applications. Zbl 0878.47040
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
73
1997
On the stability of the linear functional equation. (Reprint). Zbl 0844.39001
Hyers, D. H.
1
1994
Approximate homomorphisms. Zbl 0806.47056
Hyers, Donald H.; Rassias, Themistocles M.
192
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
Modern nonlinear equations. Corr. reprint of the 1967 orig. Zbl 0546.00003
Saaty, Thomas L.
15
1981
On the stability of minimum points. Zbl 0374.49010
Hyers, D. H.
5
1978
On the stability of stationary points. Zbl 0225.26014
Hyers, D. H.
3
1971
Modern nonlinear equations. Zbl 0148.28202
Saaty, Thomas L.
70
1967
Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402
Hyers, D. H.
2
1967
Some nonlinear integral equations of hydrodynamics. Zbl 0124.31206
Hyers, D. H.
1
1964
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.
17
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.
81
1954
On the stability of differential expressions. Zbl 0057.09905
Ulam, S. M.; Hyers, D. H.
13
1954
Approximately convex functions. Zbl 0047.29505
Hyers, D. H.; Ulam, S. M.
77
1952
Approximate isometries of the space of continuous functions. Zbl 0029.36701
Hyers, D. H.; Ulam, S. M.
33
1947
On approximate isometries. Zbl 0060.26404
Hyers, D. H.; Ulam, S. M.
77
1945
Linear topological spaces. Zbl 0060.26501
Hyers, D. H.
12
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.
402
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.
8
1939
Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101
Hyers, D. H.
5
1939
Pseudo-normed linear spaces and abelian groups. JFM 65.0498.01
Hyers, D. H.
2
1939
Differential invariants in a general differential geometry. Zbl 0020.36905
Michal, Aristotle D.; Hyers, Donald H.
2
1939
Locally bounded linear topological spaces. JFM 65.1314.02
Hyers, D. H.
1
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
A note on linear topological spaces. JFM 64.0367.02
Hyers, D. H.
3
1938
Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701
Michal, Aristotle D.; Hyers, Donald 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 1,317 Authors

222 Park, Choonkil
106 Eshaghi Gordji, Madjid
93 Jung, Soon-Mo
73 Rassias, John Michael
61 Brzdęk, Janusz
57 Lee, Jung-Rye
54 Rassias, Themistocles Michael
52 Lee, Yang-Hi
43 Bodaghi, Abasalt
43 Zada, Akbar
42 Chung, Jaeyoung
42 Najati, Abbas
40 Kim, Hark-Mahn
38 Shah, Kamal
38 Shin, Dong-Yun
35 Saadati, Reza
34 Cho, Yeol Je
30 El-Fassi, Iz-Iddine
30 Kim, Gwang Hui
29 Khodaei, Hamid
28 Kabbaj, Samir
28 Popa, Dorian
25 Ebadian, Ali
25 Park, Wongil
22 Bae, Jae-Hyeong
22 Chang, Ick-Soon
21 Li, Yongjin
21 Moslehian, Mohammad Sal
21 Wang, Jinrong
20 Azadi-Kenary, Hassan
20 Jun, Kil-Woung
19 Ciepliński, Krzysztof
18 Rezaei, Hamid
17 Benchohra, Mouffak
17 Sahoo, Prasanna K.
17 Sintunavarat, Wutiphol
17 Xu, Tianzhou
15 Almahalebi, Muaadh
14 Bahyrycz, Anna
14 Ghaemi, Mohammad Bagher
14 Lee, Young-Su
14 Noor, Muhammad Aslam
14 Senthil Kumar, B. V.
14 Wang, Zhihua
13 Abbas, Said
13 Kang, DongSeung
13 Sikorska, Justyna
12 Eskandani, Golamreza Zamani
12 Ghobadipour, Norouz
12 Roh, Jaiok
12 Xu, Bing
11 Abdeljawad, Thabet
11 Charifi, Ahmed
11 Cheng, Lixin
11 Du, Wei-Shih
11 Hyers, Donald H.
11 Jang, Sunyoung
11 Jin, Sunsook
11 Páles, Zsolt
11 Sadeghi, Ghadir
11 Tabor, Józef
11 Tamilvanan, Kandhasamy
10 Chung, Soon-Yeong
10 Govindan, Vediyappan
10 Isac, George
10 Onitsuka, Masakazu
10 Piszczek, Magdalena
10 Shah, Syed Omar
10 Tabor, Jacek
9 Ali, Zeeshan
9 Alizadeh, Badrkhan
9 Chmieliński, Jacek
9 Choi, Chang-Kwon
9 Chudziak, Jacek
9 Dong, Yunbai
9 Jung, Yong-Soo
9 Khan, Rahmat Ali
9 Kumam, Poom
9 Lee, Young Whan
9 Moghimi, Mohammad Bagher Farshbaf
9 Noor, Khalida Inayat
9 Safdar, Farhat
9 Shen, Yonghong
8 Badora, Roman
8 Bavand Savadkouhi, Meysam
8 Eghbali, Nasrin
8 Forti, Gian Luigi
8 Găvruţă, Paşc
8 Khan, Aziz
8 Kim, Sang Og
8 Miura, Takeshi
8 Mohiuddine, Syed Abdul
8 O’Regan, Donal
8 Pinelas, Sandra
8 Ramdoss, Murali
8 Rasa, Ioan
8 Rassias, Michael Th.
8 Székelyhidi, László
8 Takahasi, Sin-Ei
8 Väth, Martin
...and 1,217 more Authors
all top 5

Cited in 296 Serials

184 Journal of Mathematical Analysis and Applications
134 Journal of Inequalities and Applications
100 Abstract and Applied Analysis
99 Advances in Difference Equations
72 Aequationes Mathematicae
61 Journal of Function Spaces
60 Results in Mathematics
41 Journal of Fixed Point Theory and Applications
37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
36 Applied Mathematics Letters
31 Fixed Point Theory and Applications
30 Acta Mathematica Sinica. English Series
26 Korean Journal of Mathematics
25 Acta Mathematica Hungarica
24 AIMS Mathematics
22 Applied Mathematics and Computation
21 Proceedings of the American Mathematical Society
20 Demonstratio Mathematica
17 Discrete Dynamics in Nature and Society
17 Journal of Mathematical Inequalities
15 Archive for Rational Mechanics and Analysis
15 Bulletin of the Australian Mathematical Society
15 Journal of Nonlinear Science and Applications
14 Journal of Mathematical Physics
13 Fuzzy Sets and Systems
13 International Journal of Geometric Methods in Modern Physics
12 Journal of Applied Mathematics
12 Tbilisi Mathematical Journal
12 Journal of Linear and Topological Algebra
11 Transactions of the American Mathematical Society
11 Filomat
11 Proyecciones
10 Thai Journal of Mathematics
10 Afrika Matematika
9 Computers & Mathematics with Applications
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
9 International Journal of Mathematics and Mathematical Sciences
9 Mathematica Slovaca
9 Fractals
9 Mediterranean Journal of Mathematics
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 Mathematical Sciences
8 Journal of Approximation Theory
8 Boundary Value Problems
8 Mathematics
7 Functional Analysis and its Applications
7 Journal of Functional Analysis
7 Mathematische Annalen
7 Indagationes Mathematicae. New Series
7 Qualitative Theory of Dynamical Systems
7 Asian-European Journal of Mathematics
7 Open Mathematics
6 Journal of Computational and Applied Mathematics
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Mathematical and Computer Modelling
6 Journal of Global Optimization
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 The Journal of Analysis
6 Journal of Difference Equations and Applications
6 Honam Mathematical Journal
6 International Journal of Nonlinear Sciences and Numerical Simulation
6 Applied Mathematics E-Notes
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
5 Indian Journal of Pure & Applied Mathematics
5 Ukrainian Mathematical Journal
5 Chaos, Solitons and Fractals
5 Advances in Mathematics
5 Journal of Differential Equations
5 Kyungpook Mathematical Journal
5 Rendiconti del Seminario Matemàtico e Fisico di Milano
5 Mathematical Problems in Engineering
5 Communications of the Korean Mathematical Society
5 Nonlinear Functional Analysis and Applications
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Journal of Function Spaces and Applications
5 Boletim da Sociedade Paranaense de Matemática. Terceira Série
5 Bulletin of the American Mathematical Society
5 East Asian Mathematical Journal
5 Journal of Mathematics
5 Sahand Communications in Mathematical Analysis
5 International Journal of Applied and Computational Mathematics
4 Acta Mechanica
4 Journal of Fluid Mechanics
4 Rocky Mountain Journal of Mathematics
4 Journal of Optimization Theory and Applications
4 Quaestiones Mathematicae
4 Acta Applicandae Mathematicae
4 Bulletin des Sciences Mathématiques
4 Analysis (München)
4 Kragujevac Journal of Mathematics
4 Journal of Applied Mathematics and Computing
4 Iranian Journal of Fuzzy Systems
4 Banach Journal of Mathematical Analysis
4 Journal of Applied Mathematics & Informatics
4 International Journal of Analysis and Applications
3 Acta Mathematica Vietnamica
3 Compositio Mathematica
3 Information Sciences
3 Mathematische Nachrichten
...and 196 more Serials
all top 5

Cited in 54 Fields

1,298 Difference and functional equations (39-XX)
486 Functional analysis (46-XX)
388 Operator theory (47-XX)
272 Ordinary differential equations (34-XX)
173 Real functions (26-XX)
102 Partial differential equations (35-XX)
98 General topology (54-XX)
74 Fluid mechanics (76-XX)
48 Integral equations (45-XX)
40 Nonassociative rings and algebras (17-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
33 Approximations and expansions (41-XX)
26 Dynamical systems and ergodic theory (37-XX)
26 Operations research, mathematical programming (90-XX)
23 Numerical analysis (65-XX)
21 Group theory and generalizations (20-XX)
16 Convex and discrete geometry (52-XX)
15 Associative rings and algebras (16-XX)
15 Functions of a complex variable (30-XX)
15 Abstract harmonic analysis (43-XX)
13 Number theory (11-XX)
12 Probability theory and stochastic processes (60-XX)
11 Topological groups, Lie groups (22-XX)
10 Integral transforms, operational calculus (44-XX)
10 Biology and other natural sciences (92-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Field theory and polynomials (12-XX)
8 Special functions (33-XX)
7 Mathematical logic and foundations (03-XX)
7 Measure and integration (28-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 History and biography (01-XX)
5 Algebraic topology (55-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Mechanics of deformable solids (74-XX)
5 Systems theory; control (93-XX)
4 General and overarching topics; collections (00-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Commutative algebra (13-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Geophysics (86-XX)
4 Information and communication theory, circuits (94-XX)
3 Combinatorics (05-XX)
3 Geometry (51-XX)
3 Computer science (68-XX)
3 Quantum theory (81-XX)
2 Potential theory (31-XX)
2 Differential geometry (53-XX)
1 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-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