Edit Profile (opens in new tab) Utz, Winfried Roy jun. Compute Distance To: Compute Author ID: utz.winfried-roy-jun Published as: Utz, W. R.; Utz, Winfried Roy jun. External Links: MGP Documents Indexed: 59 Publications since 1948, including 1 Book Reviewing Activity: 62 Reviews Co-Authors: 9 Co-Authors with 11 Joint Publications 131 Co-Co-Authors all top 5 Co-Authors 48 single-authored 3 Ewing, George M. 2 Brunk, H. D. 2 Waltman, Paul Elvis 1 Cunkle, C. H. 1 Ellis, David B. 1 Foland, N. E. 1 Gillespie, Frank S. 1 Jakobsen, J. F. 1 Klee, Victor LaRue all top 5 Serials 10 Proceedings of the American Mathematical Society 9 American Mathematical Monthly 4 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 3 Topology Proceedings 2 Journal of Mathematical Analysis and Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Colloquium Mathematicum 2 International Journal of Mathematics and Mathematical Sciences 2 SIAM Journal on Applied Mathematics 2 The Bulletin of Mathematical Biophysics 1 Mathematics Magazine 1 Annales Polonici Mathematici 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 The Fibonacci Quarterly 1 Portugaliae Mathematica 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Publicationes Mathematicae Debrecen 1 Questions and Answers in General Topology 1 SIAM Journal on Mathematical Analysis 1 Bollettino della Unione Matematica Italiana. Series III 1 Revista de Ciencias, Lima 1 Nonlinear Analysis. Theory, Methods & Applications Fields 12 Ordinary differential equations (34-XX) 4 General topology (54-XX) 3 Number theory (11-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 251 times in 229 Documents Cited by ▼ Year ▼ Unstable homeomorphisms. Zbl 0040.09903Utz, W. R. 91 1950 The nonexistence of expansive homeomorphisms on a closed 2-cell. Zbl 0144.22302Jakobsen, J. F.; Utz, W. R. 17 1960 Properties of solutions of \(u'' + g(t)u^{2n-1}=0\). Zbl 0101.30603Utz, W. R. 16 1962 Minimizing integrals in certain classes of monotone functions. Zbl 0080.34101Brunk, H. D.; Ewing, G. M.; Utz, W. R. 13 1957 Asymptotic almost periodicity of solutions of a system of differential equations. Zbl 0166.08701Utz, W. R.; Waltman, P. 12 1967 Boundedness and periodicity of solutions of the generalized Liénard equation. Zbl 0071.30401Utz, W. R. 9 1956 Properties of solutions of \(u''+g(t)u^{2n-1} = 0\). II. Zbl 0144.10701Utz, W. R. 9 1965 Existence of solutions of a generalized Blasius equation. Zbl 0393.34013Utz, W. R. 8 1978 The distance set for the Cantor discontinuum. Zbl 0043.05402Utz, W. R. 8 1951 Periodicity and boundedness of solutions of generalized differential equations of growth. Zbl 0115.37403Utz, W. R.; Waltman, P. E. 8 1963 Some remarks on continuous transformations. Zbl 0055.16202Klee, V. L.; Utz, W. R. 7 1954 Some Helly theorems for monotone functions. Zbl 0072.05201Brunk, H. D.; Ewing, G. M.; Utz, W. R. 6 1956 The embedding of homeomorphisms in continuous flows. Zbl 0491.54035Utz, W. R. 5 1982 A note on second-order nonlinear differential equations. Zbl 0077.09001Utz, W. R. 5 1957 A note on the Scholz-Brauer problem in addition chains. Zbl 0050.26904Utz, W. R. 4 1953 Properties of solutions of certain second order nonlinear differential equations. Zbl 0081.08502Utz, W. R. 4 1958 Expansive mappings. Zbl 0412.54051Utz, W. R. 3 1979 Positive solutions of the Diophantine equation. Zbl 0479.10014Utz, W. R. 3 1982 Continuous solutions of the functional equation \(f^n(x)=f(x)\). Zbl 0050.12001Ewing, G. M.; Utz, W. R. 3 1953 Su una note di De Castro. Zbl 0071.08505Utz, W. R. 2 1956 The equations of population growth. Zbl 0101.36003Utz, W. R. 2 1961 A conjecture of Erdős concerning consecutive integers. Zbl 0102.03205Utz, W. R. 2 1961 The embedding of discrete flows in continuous flows. Zbl 0132.19003Foland, N. E.; Utz, W. R. 2 1963 Nonperiodicity of solutions of a third order equation. Zbl 0166.08604Utz, W. R. 2 1967 Periodic solutions of a nonlinear second order differential equation. Zbl 0202.09503Utz, W. R. 1 1970 The limiting values of solutions of consolidation equations in soil mechanics. Zbl 0298.73115Utz, W. R. 1 1974 Periodic solutions of second order differential equations with nonlinear, nondifferentiable damping. Zbl 0339.34046Utz, W. R. 1 1976 A second order differential equation of T. Otsuki. Zbl 0402.34031Utz, W. R. 1 1977 The existence of solutions of a third order boundary value problem. Zbl 0457.34009Utz, W. R. 1 1981 Almost periodic geodesics on manifolds of hyperbolic type. Zbl 0044.17602Utz, W. R. 1 1951 Some theorems and questions on matrices. Zbl 0097.00602Utz, W. R. 1 1959 The embedding of a linear discrete flow in a continuous flow. Zbl 0144.22303Utz, W. R. 1 1966 A generalized Langford problem. Zbl 0158.01402Gillespie, F. S.; Utz, W. R. 1 1966 The behavior of solutions of the equations \(x'' \pm x{x'}^ 2 \pm x^ 3 = 0\). Zbl 0158.09702Utz, W. R. 1 1967 The embedding of homeomorphisms in continuous flows. Zbl 0491.54035Utz, W. R. 5 1982 Positive solutions of the Diophantine equation. Zbl 0479.10014Utz, W. R. 3 1982 The existence of solutions of a third order boundary value problem. Zbl 0457.34009Utz, W. R. 1 1981 Expansive mappings. Zbl 0412.54051Utz, W. R. 3 1979 Existence of solutions of a generalized Blasius equation. Zbl 0393.34013Utz, W. R. 8 1978 A second order differential equation of T. Otsuki. Zbl 0402.34031Utz, W. R. 1 1977 Periodic solutions of second order differential equations with nonlinear, nondifferentiable damping. Zbl 0339.34046Utz, W. R. 1 1976 The limiting values of solutions of consolidation equations in soil mechanics. Zbl 0298.73115Utz, W. R. 1 1974 Periodic solutions of a nonlinear second order differential equation. Zbl 0202.09503Utz, W. R. 1 1970 Asymptotic almost periodicity of solutions of a system of differential equations. Zbl 0166.08701Utz, W. R.; Waltman, P. 12 1967 Nonperiodicity of solutions of a third order equation. Zbl 0166.08604Utz, W. R. 2 1967 The behavior of solutions of the equations \(x'' \pm x{x'}^ 2 \pm x^ 3 = 0\). Zbl 0158.09702Utz, W. R. 1 1967 The embedding of a linear discrete flow in a continuous flow. Zbl 0144.22303Utz, W. R. 1 1966 A generalized Langford problem. Zbl 0158.01402Gillespie, F. S.; Utz, W. R. 1 1966 Properties of solutions of \(u''+g(t)u^{2n-1} = 0\). II. Zbl 0144.10701Utz, W. R. 9 1965 Periodicity and boundedness of solutions of generalized differential equations of growth. Zbl 0115.37403Utz, W. R.; Waltman, P. E. 8 1963 The embedding of discrete flows in continuous flows. Zbl 0132.19003Foland, N. E.; Utz, W. R. 2 1963 Properties of solutions of \(u'' + g(t)u^{2n-1}=0\). Zbl 0101.30603Utz, W. R. 16 1962 The equations of population growth. Zbl 0101.36003Utz, W. R. 2 1961 A conjecture of Erdős concerning consecutive integers. Zbl 0102.03205Utz, W. R. 2 1961 The nonexistence of expansive homeomorphisms on a closed 2-cell. Zbl 0144.22302Jakobsen, J. F.; Utz, W. R. 17 1960 Some theorems and questions on matrices. Zbl 0097.00602Utz, W. R. 1 1959 Properties of solutions of certain second order nonlinear differential equations. Zbl 0081.08502Utz, W. R. 4 1958 Minimizing integrals in certain classes of monotone functions. Zbl 0080.34101Brunk, H. D.; Ewing, G. M.; Utz, W. R. 13 1957 A note on second-order nonlinear differential equations. Zbl 0077.09001Utz, W. R. 5 1957 Boundedness and periodicity of solutions of the generalized Liénard equation. Zbl 0071.30401Utz, W. R. 9 1956 Some Helly theorems for monotone functions. Zbl 0072.05201Brunk, H. D.; Ewing, G. M.; Utz, W. R. 6 1956 Su una note di De Castro. Zbl 0071.08505Utz, W. R. 2 1956 Some remarks on continuous transformations. Zbl 0055.16202Klee, V. L.; Utz, W. R. 7 1954 A note on the Scholz-Brauer problem in addition chains. Zbl 0050.26904Utz, W. R. 4 1953 Continuous solutions of the functional equation \(f^n(x)=f(x)\). Zbl 0050.12001Ewing, G. M.; Utz, W. R. 3 1953 The distance set for the Cantor discontinuum. Zbl 0043.05402Utz, W. R. 8 1951 Almost periodic geodesics on manifolds of hyperbolic type. Zbl 0044.17602Utz, W. R. 1 1951 Unstable homeomorphisms. Zbl 0040.09903Utz, W. R. 91 1950 all cited Publications top 5 cited Publications all top 5 Cited by 253 Authors 17 Morales, Carlos Arnoldo 12 Lee, Keonhee 8 Kato, Hisao 8 Lee, Manseob 7 Das, Tarun Kumar 6 Artigue, Alfonso 6 Carrasco-Olivera, Dante 6 Utz, Winfried Roy jun. 6 Waltman, Paul Elvis 5 Cuevas, Claudio 5 Das, Ruchi 5 Oh, Jumi 5 Pacifico, Maria José 5 Villavicencio, H. Andrés 4 Das, Pramod Kumar 4 Khan, Abdul Gaffar 4 Pierri, Michelle 4 Wong, James S. W. 3 Achigar, Mauricio 3 Chistyakov, Vyacheslav V. 3 Cordeiro, Welington 3 Koo, Namjip 3 San Martín Rebolledo, Bernardo 3 Shi, Enhui 3 Shin, Bomi 3 Subburam, Sivanarayanapandian 2 Ahn, Jiweon 2 Barzanouni, Ali 2 Coville, Jerome 2 de Andrade, Bruno 2 Freedman, Herbert Irving 2 Ganguly, Dilip Kumar 2 Hansohm, Jürgen 2 Henríquez, Hernán R. 2 Hooker, John W. 2 Hu, Xiaomi 2 Ku, Se-Hyun 2 Lee, Hyunhee 2 Mai, Jiehua 2 Metzger, Roger J. 2 Rosen, Gerald 2 Seoane-Sepúlveda, Juan Benigno 2 Shah, Ekta 2 Sirvent, Víctor F. 2 Táboas, Plácido Zoega 2 Thurber, Edward G. 2 Tretyachenko, Yuliya V. 2 Tunç, Cemil 2 Vasisht, Radhika 2 Vieitez, José L. 2 Willett, Douglas 2 Williams, Richard K. 2 Wine, J. D. 2 Zhou, Lizhen 1 Abu-Sitta, A. M. M. 1 Agarwal, Ravi P. 1 Akritas, P. 1 Alfaro, Matthieu 1 Alimi, Mohammad H. 1 Antoniou, Ioannis E. 1 Aponte, Jesús 1 Armijo, Alma 1 Athanassov, Zhivko S. 1 Athreya, Jayadev S. 1 Baggs, Ivan 1 Banakh, Taras Onufrievich 1 Bartoszewicz, Artur 1 Bauer, Mark L. 1 Baum, John D. 1 Bautista, Serafín 1 Bebbouchi, Rachid 1 Bennett, Michael A. 1 Berkovich, Lev M. 1 Best, Michael J. 1 Bhatia, Nam Parshad 1 Bienias, Marek 1 Blot, Joël 1 Bobisud, Larry E. 1 Bonomo, Wescley 1 Brauer, George 1 Bridoux, Florian 1 Brighi, Bernard 1 Brunk, H. D. 1 Bryant, B. F. 1 Burton, Theodore Allen 1 Butler, Geoffrey J. 1 Cabana-Méndez, H. J. 1 Cánovas, Jose S. 1 Chakravarti, Nilotpal 1 Chistyakova, Svetlana A. 1 Chu, Chinku 1 Ciesielski, Krzysztof Chris 1 Cieutat, Philippe 1 Clift, Neill Michael 1 Constantin, Adrian 1 Coronel, Aníbal 1 Cristobal, Jose A. Cristobal 1 Crnjac, Miljenko 1 Cuesta-Albertos, Juan Antonio 1 Cui, Zhenyu ...and 153 more Authors all top 5 Cited in 90 Serials 28 Journal of Mathematical Analysis and Applications 23 Topology and its Applications 21 Proceedings of the American Mathematical Society 11 Monatshefte für Mathematik 9 Journal of Differential Equations 6 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Transactions of the American Mathematical Society 5 Discrete and Continuous Dynamical Systems 4 Chaos, Solitons and Fractals 4 Czechoslovak Mathematical Journal 4 Mathematical Systems Theory 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Nonlinear Analysis. Theory, Methods & Applications 3 Bulletin of the Australian Mathematical Society 3 Theoretical Population Biology 3 Communications of the Korean Mathematical Society 3 Afrika Matematika 2 Discrete Mathematics 2 Mathematical Methods in the Applied Sciences 2 Bulletin of Mathematical Biology 2 Journal of Combinatorial Theory. Series A 2 Journal of the Korean Mathematical Society 2 Journal of Multivariate Analysis 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Statistics & Probability Letters 2 Topological Methods in Nonlinear Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications in Contemporary Mathematics 2 The Bulletin of Mathematical Biophysics 2 Axioms 1 American Mathematical Monthly 1 Journal of Applied Mathematics and Mechanics 1 Mathematical Biosciences 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Computing 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Computational and Applied Mathematics 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Mathematica Slovaca 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Theoretical Computer Science 1 Trabajos de Estadistica y de Investigacion Operativa 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Approximation Theory and its Applications 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Differential Geometry and its Applications 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Computational Statistics and Data Analysis 1 Acta Mathematica Sinica. New Series 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 Tatra Mountains Mathematical Publications 1 Statistical Papers 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Stochastics and Dynamics 1 African Diaspora Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Acta Universitatis Sapientiae. Mathematica 1 Applied General Topology 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Mathematics and Computer Science. JMCS 1 Bulletin of Mathematical Sciences 1 Open Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Cited in 36 Fields 85 Dynamical systems and ergodic theory (37-XX) 56 General topology (54-XX) 49 Ordinary differential equations (34-XX) 14 Number theory (11-XX) 10 Real functions (26-XX) 9 Measure and integration (28-XX) 9 Statistics (62-XX) 9 Biology and other natural sciences (92-XX) 8 Manifolds and cell complexes (57-XX) 5 Operator theory (47-XX) 5 Fluid mechanics (76-XX) 4 Partial differential equations (35-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 3 Combinatorics (05-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year