Edit Profile 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 Biographic References: 1 Publication all top 5 Co-Authors 27 single-authored 14 Michal, Aristotle Demetrius 5 Ulam, Stanisław Marcin 4 Rassias, Themistocles Michael 3 Isac, George 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 all top 5 Fields 5 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Functional analysis (46-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 33 Publications have been cited 2,732 times in 1,690 Documents Cited by ▼ Year ▼ On the stability of the linear functional equation. Zbl 0061.26403Hyers, D. H. 1,100 1941 Stability of functional equations in several variables. Zbl 0907.39025Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 559 1998 On the stability of the linear functional equation. JFM 67.0424.01Hyers, D. H. 252 1941 On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012Hyers, D. H.; Isac, G.; Rassias, Th. M. 210 1998 Approximate homomorphisms. Zbl 0806.47056Hyers, Donald H.; Rassias, Themistocles M. 181 1992 Topics in nonlinear analysis and applications. Zbl 0878.47040Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 78 1997 The existence of solitary waves. Zbl 0057.42204Friedrichs, K. O.; Hyers, D. H. 76 1954 Approximately convex functions. Zbl 0047.29505Hyers, D. H.; Ulam, S. M. 67 1952 On approximate isometries. Zbl 0060.26404Hyers, D. H.; Ulam, S. M. 66 1945 Approximate isometries of the space of continuous functions. Zbl 0029.36701Hyers, D. H.; Ulam, S. M. 29 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. 15 1961 On the stability of differential expressions. Zbl 0057.09905Ulam, S. M.; Hyers, D. H. 11 1954 Linear topological spaces. Zbl 0060.26501Hyers, D. H. 11 1945 Locally bounded linear topological spaces. Zbl 0060.26502Hyers, D. H. 7 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 Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101Hyers, D. H. 5 1939 Theory and applications of abstract normal coordinates in a general differential geometry. JFM 64.1369.01Michal, A. D.; Hyers, D. H. 5 1938 Polynomial operators. Zbl 0762.46037Hyers, D. H. 4 1989 On the stability of minimum points. Zbl 0374.49010Hyers, D. H. 4 1978 On the stability of stationary points. Zbl 0225.26014Hyers, D. H. 2 1971 Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402Hyers, D. H. 2 1967 A generalization of Frechet’s differential. Zbl 0061.24905Hyers, D. H. 2 1941 Differential invariants in a general differential geometry. Zbl 0020.36905Michal, Aristotle D.; Hyers, Donald H. 2 1939 Pseudo-normed linear spaces and abelian groups. JFM 65.0498.01Hyers, D. H. 2 1939 On approximate isometries. (Reprint). Zbl 0845.39014Hyers, D. H.; Ulam, S. M. 1 1994 The existence of symmetric steady flows near critical speed. Zbl 0121.43202Hyers, 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 0080.19503Hyers, D. H.; Ferling, J. A. 1 1957 A generalization of Frechet’s differential. Zbl 0063.02949Hyers, D. H. 1 1945 Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701Michal, Aristotle D.; Hyers, Donald H. 1 1938 A note on linear topological spaces. JFM 64.0367.02Hyers, D. H. 1 1938 On functional equations in linear topological spaces. Zbl 0017.36002Hyers, D. H. 1 1937 Stability of functional equations in several variables. Zbl 0907.39025Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 559 1998 On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012Hyers, D. H.; Isac, G.; Rassias, Th. M. 210 1998 Topics in nonlinear analysis and applications. Zbl 0878.47040Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 78 1997 On approximate isometries. (Reprint). Zbl 0845.39014Hyers, D. H.; Ulam, S. M. 1 1994 Approximate homomorphisms. Zbl 0806.47056Hyers, Donald H.; Rassias, Themistocles M. 181 1992 Polynomial operators. Zbl 0762.46037Hyers, D. H. 4 1989 The stability of homomorphisms and related topics. Zbl 0517.22001Hyers, D. H. 22 1983 On the stability of minimum points. Zbl 0374.49010Hyers, D. H. 4 1978 On the stability of stationary points. Zbl 0225.26014Hyers, D. H. 2 1971 Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402Hyers, D. H. 2 1967 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. 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 0080.19503Hyers, D. H.; Ferling, J. A. 1 1957 The existence of solitary waves. Zbl 0057.42204Friedrichs, K. O.; Hyers, D. H. 76 1954 On the stability of differential expressions. Zbl 0057.09905Ulam, S. M.; Hyers, D. H. 11 1954 Approximately convex functions. Zbl 0047.29505Hyers, D. H.; Ulam, S. M. 67 1952 Approximate isometries of the space of continuous functions. Zbl 0029.36701Hyers, D. H.; Ulam, S. M. 29 1947 On approximate isometries. Zbl 0060.26404Hyers, D. H.; Ulam, S. M. 66 1945 Linear topological spaces. Zbl 0060.26501Hyers, D. H. 11 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. 1,100 1941 On the stability of the linear functional equation. JFM 67.0424.01Hyers, D. H. 252 1941 A generalization of Frechet’s differential. Zbl 0061.24905Hyers, D. H. 2 1941 Locally bounded linear topological spaces. Zbl 0060.26502Hyers, D. H. 7 1939 Pseudo-normed linear spaces and Abelian groups. Zbl 0021.41101Hyers, D. H. 5 1939 Differential invariants in a general differential geometry. Zbl 0020.36905Michal, Aristotle D.; Hyers, Donald H. 2 1939 Pseudo-normed linear spaces and abelian groups. JFM 65.0498.01Hyers, D. H. 2 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 Theory and applications of abstract normal coordinates in a general differential geometry. Zbl 0018.36701Michal, Aristotle D.; Hyers, Donald H. 1 1938 A note on linear topological spaces. JFM 64.0367.02Hyers, D. 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 1,125 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