## Utz, Winfried Roy jun.

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 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
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### 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
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### 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)

### Citations contained in zbMATH Open

34 Publications have been cited 251 times in 229 Documents Cited by Year
Unstable homeomorphisms. Zbl 0040.09903
Utz, W. R.
1950
The nonexistence of expansive homeomorphisms on a closed 2-cell. Zbl 0144.22302
Jakobsen, J. F.; Utz, W. R.
1960
Properties of solutions of $$u'' + g(t)u^{2n-1}=0$$. Zbl 0101.30603
Utz, W. R.
1962
Minimizing integrals in certain classes of monotone functions. Zbl 0080.34101
Brunk, H. D.; Ewing, G. M.; Utz, W. R.
1957
Asymptotic almost periodicity of solutions of a system of differential equations. Zbl 0166.08701
Utz, W. R.; Waltman, P.
1967
Boundedness and periodicity of solutions of the generalized Liénard equation. Zbl 0071.30401
Utz, W. R.
1956
Properties of solutions of $$u''+g(t)u^{2n-1} = 0$$. II. Zbl 0144.10701
Utz, W. R.
1965
Existence of solutions of a generalized Blasius equation. Zbl 0393.34013
Utz, W. R.
1978
The distance set for the Cantor discontinuum. Zbl 0043.05402
Utz, W. R.
1951
Periodicity and boundedness of solutions of generalized differential equations of growth. Zbl 0115.37403
Utz, W. R.; Waltman, P. E.
1963
Some remarks on continuous transformations. Zbl 0055.16202
Klee, V. L.; Utz, W. R.
1954
Some Helly theorems for monotone functions. Zbl 0072.05201
Brunk, H. D.; Ewing, G. M.; Utz, W. R.
1956
The embedding of homeomorphisms in continuous flows. Zbl 0491.54035
Utz, W. R.
1982
A note on second-order nonlinear differential equations. Zbl 0077.09001
Utz, W. R.
1957
A note on the Scholz-Brauer problem in addition chains. Zbl 0050.26904
Utz, W. R.
1953
Properties of solutions of certain second order nonlinear differential equations. Zbl 0081.08502
Utz, W. R.
1958
Expansive mappings. Zbl 0412.54051
Utz, W. R.
1979
Positive solutions of the Diophantine equation. Zbl 0479.10014
Utz, W. R.
1982
Continuous solutions of the functional equation $$f^n(x)=f(x)$$. Zbl 0050.12001
Ewing, G. M.; Utz, W. R.
1953
Su una note di De Castro. Zbl 0071.08505
Utz, W. R.
1956
The equations of population growth. Zbl 0101.36003
Utz, W. R.
1961
A conjecture of Erdős concerning consecutive integers. Zbl 0102.03205
Utz, W. R.
1961
The embedding of discrete flows in continuous flows. Zbl 0132.19003
Foland, N. E.; Utz, W. R.
1963
Nonperiodicity of solutions of a third order equation. Zbl 0166.08604
Utz, W. R.
1967
Periodic solutions of a nonlinear second order differential equation. Zbl 0202.09503
Utz, W. R.
1970
The limiting values of solutions of consolidation equations in soil mechanics. Zbl 0298.73115
Utz, W. R.
1974
Periodic solutions of second order differential equations with nonlinear, nondifferentiable damping. Zbl 0339.34046
Utz, W. R.
1976
A second order differential equation of T. Otsuki. Zbl 0402.34031
Utz, W. R.
1977
The existence of solutions of a third order boundary value problem. Zbl 0457.34009
Utz, W. R.
1981
Almost periodic geodesics on manifolds of hyperbolic type. Zbl 0044.17602
Utz, W. R.
1951
Some theorems and questions on matrices. Zbl 0097.00602
Utz, W. R.
1959
The embedding of a linear discrete flow in a continuous flow. Zbl 0144.22303
Utz, W. R.
1966
A generalized Langford problem. Zbl 0158.01402
Gillespie, F. S.; Utz, W. R.
1966
The behavior of solutions of the equations $$x'' \pm x{x'}^ 2 \pm x^ 3 = 0$$. Zbl 0158.09702
Utz, W. R.
1967
The embedding of homeomorphisms in continuous flows. Zbl 0491.54035
Utz, W. R.
1982
Positive solutions of the Diophantine equation. Zbl 0479.10014
Utz, W. R.
1982
The existence of solutions of a third order boundary value problem. Zbl 0457.34009
Utz, W. R.
1981
Expansive mappings. Zbl 0412.54051
Utz, W. R.
1979
Existence of solutions of a generalized Blasius equation. Zbl 0393.34013
Utz, W. R.
1978
A second order differential equation of T. Otsuki. Zbl 0402.34031
Utz, W. R.
1977
Periodic solutions of second order differential equations with nonlinear, nondifferentiable damping. Zbl 0339.34046
Utz, W. R.
1976
The limiting values of solutions of consolidation equations in soil mechanics. Zbl 0298.73115
Utz, W. R.
1974
Periodic solutions of a nonlinear second order differential equation. Zbl 0202.09503
Utz, W. R.
1970
Asymptotic almost periodicity of solutions of a system of differential equations. Zbl 0166.08701
Utz, W. R.; Waltman, P.
1967
Nonperiodicity of solutions of a third order equation. Zbl 0166.08604
Utz, W. R.
1967
The behavior of solutions of the equations $$x'' \pm x{x'}^ 2 \pm x^ 3 = 0$$. Zbl 0158.09702
Utz, W. R.
1967
The embedding of a linear discrete flow in a continuous flow. Zbl 0144.22303
Utz, W. R.
1966
A generalized Langford problem. Zbl 0158.01402
Gillespie, F. S.; Utz, W. R.
1966
Properties of solutions of $$u''+g(t)u^{2n-1} = 0$$. II. Zbl 0144.10701
Utz, W. R.
1965
Periodicity and boundedness of solutions of generalized differential equations of growth. Zbl 0115.37403
Utz, W. R.; Waltman, P. E.
1963
The embedding of discrete flows in continuous flows. Zbl 0132.19003
Foland, N. E.; Utz, W. R.
1963
Properties of solutions of $$u'' + g(t)u^{2n-1}=0$$. Zbl 0101.30603
Utz, W. R.
1962
The equations of population growth. Zbl 0101.36003
Utz, W. R.
1961
A conjecture of Erdős concerning consecutive integers. Zbl 0102.03205
Utz, W. R.
1961
The nonexistence of expansive homeomorphisms on a closed 2-cell. Zbl 0144.22302
Jakobsen, J. F.; Utz, W. R.
1960
Some theorems and questions on matrices. Zbl 0097.00602
Utz, W. R.
1959
Properties of solutions of certain second order nonlinear differential equations. Zbl 0081.08502
Utz, W. R.
1958
Minimizing integrals in certain classes of monotone functions. Zbl 0080.34101
Brunk, H. D.; Ewing, G. M.; Utz, W. R.
1957
A note on second-order nonlinear differential equations. Zbl 0077.09001
Utz, W. R.
1957
Boundedness and periodicity of solutions of the generalized Liénard equation. Zbl 0071.30401
Utz, W. R.
1956
Some Helly theorems for monotone functions. Zbl 0072.05201
Brunk, H. D.; Ewing, G. M.; Utz, W. R.
1956
Su una note di De Castro. Zbl 0071.08505
Utz, W. R.
1956
Some remarks on continuous transformations. Zbl 0055.16202
Klee, V. L.; Utz, W. R.
1954
A note on the Scholz-Brauer problem in addition chains. Zbl 0050.26904
Utz, W. R.
1953
Continuous solutions of the functional equation $$f^n(x)=f(x)$$. Zbl 0050.12001
Ewing, G. M.; Utz, W. R.
1953
The distance set for the Cantor discontinuum. Zbl 0043.05402
Utz, W. R.
1951
Almost periodic geodesics on manifolds of hyperbolic type. Zbl 0044.17602
Utz, W. R.
1951
Unstable homeomorphisms. Zbl 0040.09903
Utz, W. R.
1950
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### 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
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### 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
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### 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)