Edit Profile (opens in new tab) Hyers, Donald H. Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 27 single-authored 14 Michal, Aristotle Demetrius 5 Ulam, Stanisław Marcin 4 Rassias, Themistocles Michael 3 Isac, George 2 Saaty, Thomas L. 2 Syski, Ryszard 1 Ferling, J. A. 1 Friedrichs, Kurt Otto 1 Kyner, Walter T. all top 5 Serials 10 Bulletin of the American Mathematical Society 7 Proceedings of the National Academy of Sciences of the United States of America 4 Mathematics Magazine 3 Revista de Ciencias, Lima 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Tohoku Mathematical Journal 2 Annali della Scuola Normale Superiore di Pisa. II. Ser 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Acta Mathematica 1 American Journal of Mathematics 1 Pacific Journal of Mathematics 1 Aequationes Mathematicae 1 Annals of Mathematics. Second Series 1 Progress in Nonlinear Differential Equations and Their Applications 1 Dover Books on Advanced Mathematics all top 5 Fields 7 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 0061.26403Hyers, D. H. 1,126 1941 Stability of functional equations in several variables. Zbl 0907.39025Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 429 1998 On the stability of the linear functional equation. JFM 67.0424.01Hyers, D. H. 402 1941 On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012Hyers, D. H.; Isac, G.; Rassias, Th. M. 227 1998 Approximate homomorphisms. Zbl 0806.47056Hyers, Donald H.; Rassias, Themistocles M. 192 1992 The existence of solitary waves. Zbl 0057.42204Friedrichs, K. O.; Hyers, D. H. 81 1954 Approximately convex functions. Zbl 0047.29505Hyers, D. H.; Ulam, S. M. 77 1952 On approximate isometries. Zbl 0060.26404Hyers, D. H.; Ulam, S. M. 77 1945 Topics in nonlinear analysis and applications. Zbl 0878.47040Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 73 1997 Modern nonlinear equations. Zbl 0148.28202Saaty, Thomas L. 70 1967 Approximate isometries of the space of continuous functions. Zbl 0029.36701Hyers, D. H.; Ulam, S. M. 33 1947 The stability of homomorphisms and related topics. Zbl 0517.22001Hyers, D. H. 22 1983 Transformations with bounded \(m\)-th differences. Zbl 0099.10501Hyers, D. H. 17 1961 Modern nonlinear equations. Corr. reprint of the 1967 orig. Zbl 0546.00003Saaty, Thomas L. 15 1981 On the stability of differential expressions. Zbl 0057.09905Ulam, S. M.; Hyers, D. H. 13 1954 Linear topological spaces. Zbl 0060.26501Hyers, D. H. 12 1945 Locally bounded linear topological spaces. Zbl 0060.26502Hyers, D. H. 8 1939 A note on linear topological spaces. Zbl 0018.27702Hyers, D. H. 7 1938 Second order differential equations with two point boundary conditions in general analysis. Zbl 0014.31402Michal, A. D.; Hyers, D. H. 6 1936 Theory and applications of abstract normal coordinates in a general differential geometry. JFM 64.1369.01Michal, A. D.; Hyers, D. H. 5 1938 Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101Hyers, D. H. 5 1939 On the stability of minimum points. Zbl 0374.49010Hyers, D. H. 5 1978 Polynomial operators. Zbl 0762.46037Hyers, D. H. 4 1989 A note on linear topological spaces. JFM 64.0367.02Hyers, D. H. 3 1938 On the stability of stationary points. Zbl 0225.26014Hyers, D. H. 3 1971 Pseudo-normed linear spaces and abelian groups. JFM 65.0498.01Hyers, D. H. 2 1939 Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402Hyers, D. H. 2 1967 Differential invariants in a general differential geometry. Zbl 0020.36905Michal, Aristotle D.; Hyers, Donald H. 2 1939 A generalization of Frechet’s differential. Zbl 0061.24905Hyers, D. H. 2 1941 Locally bounded linear topological spaces. JFM 65.1314.02Hyers, D. H. 1 1939 On the stability of the linear functional equation. (Reprint). Zbl 0844.39001Hyers, D. H. 1 1994 On functional equations in linear topological spaces. Zbl 0017.36002Hyers, D. H. 1 1937 Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701Michal, Aristotle D.; Hyers, Donald H. 1 1938 A generalization of Frechet’s differential. Zbl 0063.02949Hyers, 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 0080.19503Hyers, D. H.; Ferling, J. A. 1 1957 The existence of symmetric steady flows near critical speed. Zbl 0121.43202Hyers, D. H.; Kyner, W. T. 1 1963 Some nonlinear integral equations of hydrodynamics. Zbl 0124.31206Hyers, D. H. 1 1964 Stability of functional equations in several variables. Zbl 0907.39025Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 429 1998 On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012Hyers, D. H.; Isac, G.; Rassias, Th. M. 227 1998 Topics in nonlinear analysis and applications. Zbl 0878.47040Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 73 1997 On the stability of the linear functional equation. (Reprint). Zbl 0844.39001Hyers, D. H. 1 1994 Approximate homomorphisms. Zbl 0806.47056Hyers, Donald H.; Rassias, Themistocles M. 192 1992 Polynomial operators. Zbl 0762.46037Hyers, D. H. 4 1989 The stability of homomorphisms and related topics. Zbl 0517.22001Hyers, D. H. 22 1983 Modern nonlinear equations. Corr. reprint of the 1967 orig. Zbl 0546.00003Saaty, Thomas L. 15 1981 On the stability of minimum points. Zbl 0374.49010Hyers, D. H. 5 1978 On the stability of stationary points. Zbl 0225.26014Hyers, D. H. 3 1971 Modern nonlinear equations. Zbl 0148.28202Saaty, Thomas L. 70 1967 Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402Hyers, D. H. 2 1967 Some nonlinear integral equations of hydrodynamics. Zbl 0124.31206Hyers, D. H. 1 1964 The existence of symmetric steady flows near critical speed. Zbl 0121.43202Hyers, D. H.; Kyner, W. T. 1 1963 Transformations with bounded \(m\)-th differences. Zbl 0099.10501Hyers, 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 0080.19503Hyers, D. H.; Ferling, J. A. 1 1957 The existence of solitary waves. Zbl 0057.42204Friedrichs, K. O.; Hyers, D. H. 81 1954 On the stability of differential expressions. Zbl 0057.09905Ulam, S. M.; Hyers, D. H. 13 1954 Approximately convex functions. Zbl 0047.29505Hyers, D. H.; Ulam, S. M. 77 1952 Approximate isometries of the space of continuous functions. Zbl 0029.36701Hyers, D. H.; Ulam, S. M. 33 1947 On approximate isometries. Zbl 0060.26404Hyers, D. H.; Ulam, S. M. 77 1945 Linear topological spaces. Zbl 0060.26501Hyers, D. H. 12 1945 A generalization of Frechet’s differential. Zbl 0063.02949Hyers, D. H. 1 1945 On the stability of the linear functional equation. Zbl 0061.26403Hyers, D. H. 1,126 1941 On the stability of the linear functional equation. JFM 67.0424.01Hyers, D. H. 402 1941 A generalization of Frechet’s differential. Zbl 0061.24905Hyers, D. H. 2 1941 Locally bounded linear topological spaces. Zbl 0060.26502Hyers, D. H. 8 1939 Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101Hyers, D. H. 5 1939 Pseudo-normed linear spaces and abelian groups. JFM 65.0498.01Hyers, D. H. 2 1939 Differential invariants in a general differential geometry. Zbl 0020.36905Michal, Aristotle D.; Hyers, Donald H. 2 1939 Locally bounded linear topological spaces. JFM 65.1314.02Hyers, D. H. 1 1939 A note on linear topological spaces. Zbl 0018.27702Hyers, D. H. 7 1938 Theory and applications of abstract normal coordinates in a general differential geometry. JFM 64.1369.01Michal, A. D.; Hyers, D. H. 5 1938 A note on linear topological spaces. JFM 64.0367.02Hyers, D. H. 3 1938 Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701Michal, Aristotle D.; Hyers, Donald H. 1 1938 On functional equations in linear topological spaces. Zbl 0017.36002Hyers, D. H. 1 1937 Second order differential equations with two point boundary conditions in general analysis. Zbl 0014.31402Michal, A. D.; Hyers, D. H. 6 1936 all cited Publications top 5 cited Publications 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