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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
285 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 2,921 times in 1,992 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.
605
1998
On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012
Hyers, D. H.; Isac, G.; Rassias, Th. M.
261
1998
Approximate homomorphisms. Zbl 0806.47056
Hyers, Donald H.; Rassias, Themistocles M.
219
1992
On approximate isometries. Zbl 0060.26404
Hyers, D. H.; Ulam, S. M.
96
1945
Topics in nonlinear analysis and applications. Zbl 0878.47040
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
96
1997
The existence of solitary waves. Zbl 0057.42204
Friedrichs, K. O.; Hyers, D. H.
90
1954
Approximately convex functions. Zbl 0047.29505
Hyers, D. H.; Ulam, S. M.
89
1952
Modern nonlinear equations. Zbl 0148.28202
Saaty, Thomas L.
77
1967
Approximate isometries of the space of continuous functions. Zbl 0029.36701
Hyers, D. H.; Ulam, S. M.
37
1947
The stability of homomorphisms and related topics. Zbl 0517.22001
Hyers, D. H.
32
1983
Modern nonlinear equations. Corr. reprint of the 1967 orig. Zbl 0546.00003
Saaty, Thomas L.
31
1981
Transformations with bounded \(m\)-th differences. Zbl 0099.10501
Hyers, D. H.
20
1961
On the stability of differential expressions. Zbl 0057.09905
Ulam, S. M.; Hyers, D. H.
14
1954
Linear topological spaces. Zbl 0060.26501
Hyers, D. H.
12
1945
Locally bounded linear topological spaces. Zbl 0060.26502
Hyers, D. H.
9
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
On the stability of minimum points. Zbl 0374.49010
Hyers, D. H.
6
1978
Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101
Hyers, D. H.
6
1939
On the stability of stationary points. Zbl 0225.26014
Hyers, D. H.
4
1971
Polynomial operators. Zbl 0762.46037
Hyers, D. H.
4
1989
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
Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402
Hyers, D. H.
2
1967
Stability of minimum points for problems with constraints. Zbl 0576.49017
Hyers, Donald H.
2
1985
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
On functional equations in linear topological spaces. Zbl 0017.36002
Hyers, D. H.
1
1937
On the stability of the linear functional equation. (Reprint). Zbl 0844.39001
Hyers, D. H.
1
1994
Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701
Michal, Aristotle D.; Hyers, Donald H.
1
1938
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.
605
1998
On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012
Hyers, D. H.; Isac, G.; Rassias, Th. M.
261
1998
Topics in nonlinear analysis and applications. Zbl 0878.47040
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
96
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.
219
1992
Polynomial operators. Zbl 0762.46037
Hyers, D. H.
4
1989
Stability of minimum points for problems with constraints. Zbl 0576.49017
Hyers, Donald H.
2
1985
The stability of homomorphisms and related topics. Zbl 0517.22001
Hyers, D. H.
32
1983
Modern nonlinear equations. Corr. reprint of the 1967 orig. Zbl 0546.00003
Saaty, Thomas L.
31
1981
On the stability of minimum points. Zbl 0374.49010
Hyers, D. H.
6
1978
On the stability of stationary points. Zbl 0225.26014
Hyers, D. H.
4
1971
Modern nonlinear equations. Zbl 0148.28202
Saaty, Thomas L.
77
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.
20
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.
90
1954
On the stability of differential expressions. Zbl 0057.09905
Ulam, S. M.; Hyers, D. H.
14
1954
Approximately convex functions. Zbl 0047.29505
Hyers, D. H.; Ulam, S. M.
89
1952
Approximate isometries of the space of continuous functions. Zbl 0029.36701
Hyers, D. H.; Ulam, S. M.
37
1947
On approximate isometries. Zbl 0060.26404
Hyers, D. H.; Ulam, S. M.
96
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
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.
9
1939
Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101
Hyers, D. H.
6
1939
Differential invariants in a general differential geometry. Zbl 0020.36905
Michal, Aristotle D.; Hyers, Donald 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. 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 1,382 Authors

199 Park, Choonkil
107 Eshaghi Gordji, Madjid
95 Jung, Soon-Mo
69 Brzdęk, Janusz
62 Rassias, John Michael
61 Rassias, Themistocles Michael
57 Lee, Jung-Rye
48 Najati, Abbas
40 Chung, Jaeyoung
40 Kim, Hark-Mahn
39 Lee, Yang-Hi
36 Saadati, Reza
36 Shin, Dong-Yun
36 Zada, Akbar
35 Bodaghi, Abasalt
33 Cho, Yeol Je
31 El-Fassi, Iz-Iddine
31 Popa, Dorian
30 Khodaei, Hamid
29 Shah, Kamal
27 Kim, Gwang Hui
26 Wang, Jinrong
25 Kabbaj, Samir
24 Park, Wongil
23 Bae, Jae-Hyeong
23 Ebadian, Ali
22 Jun, Kil-Woung
21 Azadi-Kenary, Hassan
20 Li, Yongjin
20 Moslehian, Mohammad Sal
18 Chang, Ick-Soon
18 Ciepliński, Krzysztof
17 Benchohra, Mouffak
17 Rezaei, Hamid
17 Sintunavarat, Wutiphol
16 Noor, Muhammad Aslam
16 Sahoo, Prasanna K.
14 Abbas, Said
14 Du, Wei-Shih
14 Ghaemi, Mohammad Bagher
14 Lee, Young-Su
14 Xu, Tianzhou
13 Sikorska, Justyna
13 Xu, Bing
12 Badora, Roman
12 Bahyrycz, Anna
12 Dong, Yunbai
12 Eskandani, Golamreza Zamani
12 Ghobadipour, Norouz
12 Kang, DongSeung
12 Páles, Zsolt
12 Sun, Longfa
12 Wang, Zhihua
11 Cheng, Lixin
11 Hyers, Donald H.
11 Isac, George
11 Moghimi, Mohammad Bagher Farshbaf
11 Noor, Khalida Inayat
11 Piszczek, Magdalena
11 Sadeghi, Ghadir
11 Tabor, Józef
10 Chung, Soon-Yeong
10 Govindan, Vediyappan
10 Jang, Sunyoung
10 Mohiuddine, Syed Abdul
10 Roh, Jaiok
10 Tabor, Jacek
10 Tamilvanan, Kandhasamy
10 Turinici, Mihai
9 Alizadeh, Badrkhan
9 Almahalebi, Muaadh
9 Charifi, Ahmed
9 Chmieliński, Jacek
9 Chudziak, Jacek
9 Elqorachi, Elhoucien
9 Fečkan, Michal
9 Forti, Gian Luigi
9 Găvruţă, Paşc
9 Jung, Yong-Soo
9 Khan, Rahmat Ali
9 Lee, Young Whan
9 Onitsuka, Masakazu
9 Rasa, Ioan
9 Rezapour, Shahram
9 Safdar, Farhat
9 Shen, Yonghong
9 Turab, Ali
9 Zhou, Yong
8 Abdeljawad, Thabet
8 Aiemsomboon, Laddawan
8 Bavand Savadkouhi, Meysam
8 Chahbi, Abdellatif
8 Dai, Duanxu
8 Dehghanian, Mehdi
8 El-hady, El-sayed
8 Kim, Sang Og
8 Leśniak, Zbigniew
8 Miura, Takeshi
8 Nieto Roig, Juan Jose
8 Noori, Batool
...and 1,282 more Authors
all top 5

Cited in 312 Serials

184 Journal of Mathematical Analysis and Applications
134 Journal of Inequalities and Applications
98 Abstract and Applied Analysis
91 Advances in Difference Equations
73 Aequationes Mathematicae
66 Results in Mathematics
53 Journal of Function Spaces
38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
36 Journal of Fixed Point Theory and Applications
34 Applied Mathematics Letters
31 Fixed Point Theory and Applications
30 Acta Mathematica Sinica. English Series
27 Acta Mathematica Hungarica
21 Proceedings of the American Mathematical Society
20 Applied Mathematics and Computation
20 Demonstratio Mathematica
17 Korean Journal of Mathematics
16 Archive for Rational Mechanics and Analysis
16 Filomat
16 Discrete Dynamics in Nature and Society
15 Journal of Nonlinear Science and Applications
14 Bulletin of the Australian Mathematical Society
14 Journal of Mathematical Inequalities
13 Fuzzy Sets and Systems
12 Chaos, Solitons and Fractals
12 Journal of Applied Mathematics
12 International Journal of Geometric Methods in Modern Physics
12 AIMS Mathematics
11 Computers & Mathematics with Applications
11 Transactions of the American Mathematical Society
11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Journal of Mathematical Physics
10 Mathematica Slovaca
10 Communications of the Korean Mathematical Society
10 Qualitative Theory of Dynamical Systems
10 Acta Mathematica Scientia. Series B. (English Edition)
10 Mathematics
10 Journal of Linear and Topological Algebra
9 Mathematische Annalen
9 International Journal of Nonlinear Sciences and Numerical Simulation
9 Afrika Matematika
8 Mathematical Methods in the Applied Sciences
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 International Journal of Mathematics and Mathematical Sciences
8 Journal of Approximation Theory
8 The Journal of Analysis
8 Fractals
8 Mediterranean Journal of Mathematics
8 Proyecciones
8 Sahand Communications in Mathematical Analysis
7 Thai Journal of Mathematics
7 Boundary Value Problems
7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
7 Mathematical Sciences
6 Journal of Computational and Applied Mathematics
6 Journal of Differential Equations
6 Journal of Functional Analysis
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 Indagationes Mathematicae. New Series
6 Journal of Difference Equations and Applications
6 Applied Mathematics E-Notes
6 Asian-European Journal of Mathematics
5 Indian Journal of Pure & Applied Mathematics
5 Rocky Mountain Journal of Mathematics
5 Ukrainian Mathematical Journal
5 Functional Analysis and its Applications
5 Optimization
5 Analysis (München)
5 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Journal of Function Spaces and Applications
5 Iranian Journal of Fuzzy Systems
5 Bulletin of the American Mathematical Society
5 Tbilisi Mathematical Journal
5 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
5 International Journal of Applied and Computational Mathematics
5 Open Mathematics
4 Acta Mechanica
4 Journal of Fluid Mechanics
4 Advances in Mathematics
4 Information Sciences
4 Journal of Optimization Theory and Applications
4 Kyungpook Mathematical Journal
4 Quaestiones Mathematicae
4 Rendiconti del Seminario Matemàtico e Fisico di Milano
4 Acta Applicandae Mathematicae
4 Facta Universitatis. Series Mathematics and Informatics
4 Computational and Applied Mathematics
4 Honam Mathematical Journal
4 Annales Mathematicae Silesianae
4 Kragujevac Journal of Mathematics
4 Banach Journal of Mathematical Analysis
4 Bulletin of Mathematical Analysis and Applications
4 Arabian Journal of Mathematics
4 Journal of Mahani Mathematical Research Center
4 International Journal of Analysis and Applications
3 Israel Journal of Mathematics
...and 212 more Serials
all top 5

Cited in 53 Fields

1,269 Difference and functional equations (39-XX)
491 Functional analysis (46-XX)
408 Operator theory (47-XX)
275 Ordinary differential equations (34-XX)
194 Real functions (26-XX)
102 Partial differential equations (35-XX)
94 General topology (54-XX)
80 Fluid mechanics (76-XX)
47 Integral equations (45-XX)
40 Nonassociative rings and algebras (17-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
34 Operations research, mathematical programming (90-XX)
33 Approximations and expansions (41-XX)
26 Dynamical systems and ergodic theory (37-XX)
19 Group theory and generalizations (20-XX)
18 Associative rings and algebras (16-XX)
18 Probability theory and stochastic processes (60-XX)
18 Numerical analysis (65-XX)
17 Biology and other natural sciences (92-XX)
16 Convex and discrete geometry (52-XX)
14 Functions of a complex variable (30-XX)
12 Number theory (11-XX)
12 Topological groups, Lie groups (22-XX)
12 Systems theory; control (93-XX)
11 Abstract harmonic analysis (43-XX)
10 Integral transforms, operational calculus (44-XX)
9 Special functions (33-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
7 Mathematical logic and foundations (03-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Algebraic topology (55-XX)
6 Geophysics (86-XX)
6 Information and communication theory, circuits (94-XX)
5 History and biography (01-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Field theory and polynomials (12-XX)
5 Commutative algebra (13-XX)
5 Measure and integration (28-XX)
5 Computer science (68-XX)
5 Mechanics of deformable solids (74-XX)
4 General and overarching topics; collections (00-XX)
4 Geometry (51-XX)
2 Combinatorics (05-XX)
2 Category theory; homological algebra (18-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Differential geometry (53-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Mathematics education (97-XX)

Citations by Year