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 281 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 38 Publications have been cited 3,093 times in 2,150 Documents Cited by ▼ Year ▼ On the stability of the linear functional equation. Zbl 0061.26403Hyers, D. H. 1,194 1941 On the stability of the linear functional equation. JFM 67.0424.01Hyers, D. H. 488 1941 Stability of functional equations in several variables. Zbl 0907.39025Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 474 1998 On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012Hyers, D. H.; Isac, G.; Rassias, Th. M. 244 1998 Approximate homomorphisms. Zbl 0806.47056Hyers, Donald H.; Rassias, Themistocles M. 198 1992 The existence of solitary waves. Zbl 0057.42204Friedrichs, K. O.; Hyers, D. H. 85 1954 On approximate isometries. Zbl 0060.26404Hyers, D. H.; Ulam, S. M. 84 1945 Approximately convex functions. Zbl 0047.29505Hyers, D. H.; Ulam, S. M. 82 1952 Topics in nonlinear analysis and applications. Zbl 0878.47040Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 76 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. 34 1947 The stability of homomorphisms and related topics. Zbl 0517.22001Hyers, D. H. 23 1983 Transformations with bounded \(m\)-th differences. Zbl 0099.10501Hyers, D. H. 19 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. 14 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 On the stability of minimum points. Zbl 0374.49010Hyers, D. H. 6 1978 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 A note on linear topological spaces. JFM 64.0367.02Hyers, D. H. 4 1938 Polynomial operators. Zbl 0762.46037Hyers, D. H. 4 1989 On the stability of stationary points. Zbl 0225.26014Hyers, D. H. 4 1971 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 Integral equations for nonlinear problems in partial differential equations. Zbl 0164.42402Hyers, D. H. 2 1967 Stability of minimum points for problems with constraints. Zbl 0576.49017Hyers, Donald H. 1 1985 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 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 Locally bounded linear topological spaces. JFM 65.1314.02Hyers, D. H. 1 1939 Stability of functional equations in several variables. Zbl 0907.39025Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 474 1998 On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012Hyers, D. H.; Isac, G.; Rassias, Th. M. 244 1998 Topics in nonlinear analysis and applications. Zbl 0878.47040Hyers, Donald H.; Isac, George; Rassias, Themistocles M. 76 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. 198 1992 Polynomial operators. Zbl 0762.46037Hyers, D. H. 4 1989 Stability of minimum points for problems with constraints. Zbl 0576.49017Hyers, Donald H. 1 1985 The stability of homomorphisms and related topics. Zbl 0517.22001Hyers, D. H. 23 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. 6 1978 On the stability of stationary points. Zbl 0225.26014Hyers, D. H. 4 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. 19 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. 85 1954 On the stability of differential expressions. Zbl 0057.09905Ulam, S. M.; Hyers, D. H. 14 1954 Approximately convex functions. Zbl 0047.29505Hyers, D. H.; Ulam, S. M. 82 1952 Approximate isometries of the space of continuous functions. Zbl 0029.36701Hyers, D. H.; Ulam, S. M. 34 1947 On approximate isometries. Zbl 0060.26404Hyers, D. H.; Ulam, S. M. 84 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. 1,194 1941 On the stability of the linear functional equation. JFM 67.0424.01Hyers, D. H. 488 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 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 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. 4 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 1,460 Authors 233 Park, Choonkil 107 Eshaghi Gordji, Madjid 94 Jung, Soon-Mo 76 Rassias, John Michael 66 Rassias, Themistocles Michael 65 Lee, Jung-Rye 63 Brzdęk, Janusz 55 Zada, Akbar 52 Lee, Yang-Hi 50 Bodaghi, Abasalt 46 Najati, Abbas 42 Chung, Jaeyoung 42 Shah, Kamal 41 Kim, Hark-Mahn 38 Shin, Dong-Yun 36 El-Fassi, Iz-Iddine 35 Saadati, Reza 34 Cho, Yeol Je 32 Kabbaj, Samir 32 Kim, Gwang Hui 31 Khodaei, Hamid 28 Popa, Dorian 26 Park, Wongil 25 Ebadian, Ali 24 Bae, Jae-Hyeong 24 Wang, Jinrong 23 Chang, Ick-Soon 23 Li, Yongjin 21 Moslehian, Mohammad Sal 20 Azadi-Kenary, Hassan 20 Jun, Kil-Woung 19 Ciepliński, Krzysztof 19 Sintunavarat, Wutiphol 18 Abdeljawad, Thabet 18 Rezaei, Hamid 18 Senthil Kumar, B. V. 18 Xu, Tianzhou 17 Almahalebi, Muaadh 17 Benchohra, Mouffak 17 Sahoo, Prasanna K. 16 Wang, Zhihua 15 Kang, DongSeung 15 Tamilvanan, Kandhasamy 14 Bahyrycz, Anna 14 Ghaemi, Mohammad Bagher 14 Lee, Young-Su 14 Noor, Muhammad Aslam 13 Govindan, Vediyappan 13 Shah, Syed Omar 13 Sikorska, Justyna 12 Abbas, Said 12 Du, Wei-Shih 12 Eskandani, Golamreza Zamani 12 Ghobadipour, Norouz 12 Moghimi, Mohammad Bagher Farshbaf 12 Rezapour, Shahram 12 Roh, Jaiok 12 Xu, Bing 11 Alzabut, Jehad O. 11 Charifi, Ahmed 11 Cheng, Lixin 11 Hyers, Donald H. 11 Jang, Sunyoung 11 Jin, Sunsook 11 Mohiuddine, Syed Abdul 11 Onitsuka, Masakazu 11 Páles, Zsolt 11 Sadeghi, Ghadir 11 Tabor, Józef 10 Chung, Soon-Yeong 10 Dutta, Hemen 10 Isac, George 10 Pinelas, Sandra 10 Piszczek, Magdalena 10 Tabor, Jacek 9 Ali, Arshad 9 Ali, Zeeshan 9 Alizadeh, Badrkhan 9 Badora, Roman 9 Chmieliński, Jacek 9 Choi, Chang-Kwon 9 Chudziak, Jacek 9 Dong, Yunbai 9 El-hady, El-sayed 9 Jung, Yong-Soo 9 Khan, Aziz 9 Khan, Rahmat Ali 9 Kumam, Poom 9 Lee, Young Whan 9 Noor, Khalida Inayat 9 Rizwan, Rizwan 9 Safdar, Farhat 9 Shen, Yonghong 9 Turab, Ali 8 Ahmad, Mansoor 8 Aiemsomboon, Laddawan 8 Bavand Savadkouhi, Meysam 8 Chahbi, Abdellatif 8 Eghbali, Nasrin 8 Etemad, Sina ...and 1,360 more Authors all top 5 Cited in 317 Serials 189 Journal of Mathematical Analysis and Applications 136 Journal of Inequalities and Applications 113 Advances in Difference Equations 100 Abstract and Applied Analysis 73 Aequationes Mathematicae 68 Journal of Function Spaces 63 Results in Mathematics 42 Journal of Fixed Point Theory and Applications 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Applied Mathematics Letters 33 AIMS Mathematics 31 Fixed Point Theory and Applications 30 Acta Mathematica Sinica. English Series 27 Korean Journal of Mathematics 25 Acta Mathematica Hungarica 23 Demonstratio Mathematica 22 Applied Mathematics and Computation 21 Proceedings of the American Mathematical Society 21 Filomat 18 Discrete Dynamics in Nature and Society 18 Journal of Mathematical Inequalities 16 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 14 Fractals 14 Tbilisi Mathematical Journal 13 Fuzzy Sets and Systems 13 Thai Journal of Mathematics 13 International Journal of Geometric Methods in Modern Physics 13 Proyecciones 13 Journal of Linear and Topological Algebra 12 Qualitative Theory of Dynamical Systems 12 Journal of Applied Mathematics 11 Chaos, Solitons and Fractals 11 Transactions of the American Mathematical Society 11 Acta Mathematica Scientia. Series B. (English Edition) 10 The Journal of Analysis 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 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 Asian-European Journal of Mathematics 8 Mathematics 8 International Journal of Applied and Computational Mathematics 7 Functional Analysis and its Applications 7 Journal of Functional Analysis 7 Mathematische Annalen 7 Indagationes Mathematicae. New Series 7 Open Mathematics 6 Indian Journal of Pure & Applied 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 Journal of Difference Equations and Applications 6 Honam Mathematical Journal 6 Communications of the Korean Mathematical Society 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 6 Palestine Journal of Mathematics 6 Sahand Communications in Mathematical Analysis 5 Ukrainian Mathematical Journal 5 Advances in Mathematics 5 Journal of Differential Equations 5 Kyungpook Mathematical Journal 5 Rendiconti del Seminario Matemàtico e Fisico di Milano 5 Turkish Journal of Mathematics 5 Mathematical Problems in Engineering 5 Analysis (München) 5 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 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 Iranian Journal of Fuzzy Systems 5 Bulletin of the American Mathematical Society 5 East Asian Mathematical Journal 5 Journal of Applied Mathematics & Informatics 5 Journal of Mathematical Extension 5 Journal of 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 Kragujevac Journal of Mathematics 4 Journal of Applied Mathematics and Computing 4 Banach Journal of Mathematical Analysis ...and 217 more Serials all top 5 Cited in 56 Fields 1,376 Difference and functional equations (39-XX) 516 Functional analysis (46-XX) 472 Operator theory (47-XX) 333 Ordinary differential equations (34-XX) 215 Real functions (26-XX) 108 Partial differential equations (35-XX) 105 General topology (54-XX) 77 Fluid mechanics (76-XX) 64 Integral equations (45-XX) 44 Nonassociative rings and algebras (17-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 32 Approximations and expansions (41-XX) 30 Dynamical systems and ergodic theory (37-XX) 27 Numerical analysis (65-XX) 27 Operations research, mathematical programming (90-XX) 21 Group theory and generalizations (20-XX) 21 Biology and other natural sciences (92-XX) 18 Associative rings and algebras (16-XX) 17 Convex and discrete geometry (52-XX) 15 Functions of a complex variable (30-XX) 15 Abstract harmonic analysis (43-XX) 15 Probability theory and stochastic processes (60-XX) 13 Number theory (11-XX) 13 Integral transforms, operational calculus (44-XX) 11 Topological groups, Lie groups (22-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Special functions (33-XX) 9 Field theory and polynomials (12-XX) 9 Measure and integration (28-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Systems theory; control (93-XX) 7 Mathematical logic and foundations (03-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 History and biography (01-XX) 5 Commutative algebra (13-XX) 5 Algebraic topology (55-XX) 5 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-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 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year