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## Hetzer, Georg

Compute Distance To:
 Author ID: hetzer.georg Published as: Hetzer, Georg; Hetzer, G.; Hetzer, George Homepage: https://www.auburn.edu/cosam/faculty/math_stats/hetzer/index.htm External Links: MGP · dblp
 Documents Indexed: 60 Publications since 1973, including 1 Book Reviewing Activity: 196 Reviews
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#### Co-Authors

 30 single-authored 11 Shen, Wenxian 4 Stallbohm, Volker 4 Tello, Lourdes 3 Diaz Diaz, Jesus Ildefonso 3 Schmidt, Paul Günter 2 Landesman, Edward M. 2 Reinermann, Jochen 1 Deimling, Klaus 1 Engler, Hans 1 Jarausch, Helmut 1 Mackens, Wolfgang 1 Madzvamuse, Anotida 1 Meir, Amnon J. 1 Zhang, Aijun 1 Zhu, Shu
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#### Serials

 5 Electronic Journal of Differential Equations (EJDE) 4 Commentationes Mathematicae Universitatis Carolinae 4 Discrete and Continuous Dynamical Systems 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 2 Houston Journal of Mathematics 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Differential and Integral Equations 2 Journal of Dynamics and Differential Equations 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Rocky Mountain Journal of Mathematics 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Journal of Operator Theory 1 IMPACT of Computing in Science and Engineering 1 Dynamic Systems and Applications 1 Annales de la Société Scientifique de Bruxelles. Série I 1 SIAM Journal on Mathematical Analysis 1 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Advances in Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 International Journal of Numerical Analysis and Modeling 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Differential Equations and Applications
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#### Fields

 38 Partial differential equations (35-XX) 25 Operator theory (47-XX) 17 Ordinary differential equations (34-XX) 15 Geophysics (86-XX) 8 Biology and other natural sciences (92-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

46 Publications have been cited 244 times in 172 Documents Cited by Year
Some remarks on $$\Phi_+$$-operators and on the coincidence degree for a Fredholm equation with noncompact nonlinear perturbations. Zbl 0316.47041
Hetzer, G.
1975
Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal. Zbl 1264.35113
Hetzer, Georg; Nguyen, Tung; Shen, Wenxian
2012
Uniform persistence, coexistence, and extinction in almost periodic/nonautonomous competition diffusion systems. Zbl 1020.35006
Hetzer, Georg; Shen, Wenxian
2002
Effects of spatial variations and dispersal strategies on principal eigenvalues of dispersal operators and spreading speeds of monostable equations. Zbl 1325.35098
Hetzer, Georg; Shen, Wenxian; Zhang, Aijun
2013
An energy balance climate model with hysteresis. Zbl 1098.35090
Díaz, J. I.; Hetzer, G.; Tello, L.
2006
Convergence in almost periodic competition diffusion systems. Zbl 0983.35060
Hetzer, Georg; Shen, Wenxian
2001
Characterization of Turing diffusion-driven instability on evolving domains. Zbl 1252.35049
Hetzer, Georg; Madzvamuse, Anotida; Shen, Wenxian
2012
The number of stationary solutions for a one-dimensional Budyko-type climate model. Zbl 0987.34032
Hetzer, G.
2001
Some applications of the coincidence degree for set - contractions to functional differential equations of neutral type. Zbl 0298.47034
Hetzer, Georg
1975
The structure of the principal component for semilinear diffusion equations from energy balance climate models. Zbl 0723.58051
Hetzer, Georg
1990
Almost periodicity enforced by Coulomb friction. Zbl 0838.34016
Deimling, Klaus; Hetzer, Georg; Shen, Wenxian
1996
On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance. Zbl 0326.35033
Hetzer, Georg
1976
Eine Existenzaussage für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0. Zbl 0362.47027
Hetzer, G.; Stallbohm, V.
1977
A quasilinear functional reaction-diffusion equation arising in climatology. Zbl 0921.35182
Díaz, J. I.; Hetzer, G.
1998
Asymptotic behavior of positive solutions of random and stochastic parabolic equations of Fisher and Kolmogorov types. Zbl 0994.35125
Hetzer, Georg; Shen, Wenxian; Zhu, Shu
2002
On a interface problem with a nonlinear jump condition. Numerical approximation of solutions. Zbl 1131.35350
Hetzer, G.; Meir, A. J.
2007
On a semilinear operator equation at resonance. Zbl 0458.47047
Hetzer, Georg
1980
On the solvability of a semilinear operator equation at resonance as applied to elliptic boundary value problems in unbounded domains. Zbl 0526.35030
Hetzer, Georg; Landesman, E. M.
1983
A spectral characterization of monotonicity properties of normal linear operators with an application to nonlinear telegraph equation. Zbl 0542.47040
Hetzer, G.
1984
A multiparameter sensitivity analysis of a 2D diffusive climate model. Zbl 0699.76057
Hetzer, Georg; Jarausch, Helmut; Mackens, Wolfgang
1989
Alternativ- und Verzweigungsprobleme bei Koinzidenzgleichungen mit Anwendungen auf Randwertprobleme bei neutralen Funktionaldifferential- und elliptischen Differentialgleichungen. Zbl 0418.47037
Hetzer, Georg
1978
$$S$$-shapedness for energy balance climate models of Sellers-type. Zbl 0893.76003
Hetzer, Georg
1997
Forced periodic oscillations in the climate system via an energy balance model. Zbl 0641.35035
Hetzer, Georg
1987
A bifurcation result for Sturm-Liouville problems with a set-valued term. Zbl 0918.34020
Hetzer, Georg
1997
The shift-semiflow of a multi-valued evolution equation from climate modeling. Zbl 1042.37536
Hetzer, Georg
2001
Trajectory attractors of energy balance climate models with bio-feedback. Zbl 1254.35028
Hetzer, Georg
2011
A quasilinear functional reaction-diffusion equation from climate modeling. Zbl 0907.35064
Hetzer, Georg
1997
Convergence to equilibria for a class of reaction-diffusion systems. Zbl 0801.35056
Engler, Hans; Hetzer, Georg
1992
A functional reaction-diffusion equation from climate modeling: $$S$$- shapedness of the principal branch of fixed points of the time-1-map. Zbl 0822.35069
Hetzer, Georg
1995
A parameter dependent time-periodic reaction-diffusion equation from climate modeling: $$S$$-shapedness of the principal branch of fixed points of the time-1-map. Zbl 0811.35054
Hetzer, Georg
1994
A global attractor and stationary solutions for reaction-diffusion system arising from climate modeling. Zbl 0709.35055
Hetzer, G.; Schmidt, P. G.
1990
Analysis of energy balance climate models. Zbl 0848.35055
Hetzer, Georg; Schmidt, Paul G.
1996
Coincidence degree and Rabinowitz’s bifurcation theorem. Zbl 0343.47041
Hetzer, G.; Stallbohm, V.
1976
A note on a paper of Howard Shaw concerning a nonlinear elliptic boundary value problem. Zbl 0377.35028
Hetzer, Georg
1979
A note on periodic solutions of second order systems of nonlinear autonomous differential equations. Zbl 0426.34029
Hetzer, Georg
1979
On a reaction-diffusion system arising in climatology. Zbl 1024.35017
Hetzer, G.; Tello, L.
2002
A continuation theorem and the variational solvability of quasilinear elliptic boundary value problems at resonance. Zbl 0467.47041
Hetzer, Georg
1980
Effects of small spatial variation of the reproduction rate in a two species competition model. Zbl 1206.35141
Hetzer, Georg; Nguyen, Tung; Shen, Wenxian
2010
Fixpunktsätze von Browder und Krasnosel’skii für lokalkonvexe Hausdorff-Räume. Zbl 0232.47064
Hetzer, Georg; Reinermann, Jochen; Stallbohm, Volker
1973
Der ”Satz von der Gleichmäßigen Beschränktheit” für eine Klasse nichtlinearer Operatoren. Zbl 0265.47051
Hetzer, Georg
1973
Sätze vom Banach-Steinhaus Typ für eine Klasse nichtlinearer Operatoren. Zbl 0312.47054
Hetzer, G.
1974
Bifurcation theorems of Rabinowitz type. Zbl 0367.47038
Hetzer, George
1977
Double resonance of semilinear operator equations in $$L_ 2$$-spaces. Zbl 0635.47052
Hetzer, Georg; Landesman, E. M.
1987
A degree continuation theorem for a class of compactly perturbed differentiable Fredholm maps of index 0. Zbl 0426.34057
Hetzer, Georg
1979
Global behavior of bifurcation branches and the essential spectrum. Zbl 0408.47046
Hetzer, Georg; Stallbohm, Volker
1978
Two species competition with an inhibitor involved. Zbl 1073.34053
Hetzer, Georg; Shen, Wenxian
2005
Effects of spatial variations and dispersal strategies on principal eigenvalues of dispersal operators and spreading speeds of monostable equations. Zbl 1325.35098
Hetzer, Georg; Shen, Wenxian; Zhang, Aijun
2013
Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal. Zbl 1264.35113
Hetzer, Georg; Nguyen, Tung; Shen, Wenxian
2012
Characterization of Turing diffusion-driven instability on evolving domains. Zbl 1252.35049
Hetzer, Georg; Madzvamuse, Anotida; Shen, Wenxian
2012
Trajectory attractors of energy balance climate models with bio-feedback. Zbl 1254.35028
Hetzer, Georg
2011
Effects of small spatial variation of the reproduction rate in a two species competition model. Zbl 1206.35141
Hetzer, Georg; Nguyen, Tung; Shen, Wenxian
2010
On a interface problem with a nonlinear jump condition. Numerical approximation of solutions. Zbl 1131.35350
Hetzer, G.; Meir, A. J.
2007
An energy balance climate model with hysteresis. Zbl 1098.35090
Díaz, J. I.; Hetzer, G.; Tello, L.
2006
Two species competition with an inhibitor involved. Zbl 1073.34053
Hetzer, Georg; Shen, Wenxian
2005
Uniform persistence, coexistence, and extinction in almost periodic/nonautonomous competition diffusion systems. Zbl 1020.35006
Hetzer, Georg; Shen, Wenxian
2002
Asymptotic behavior of positive solutions of random and stochastic parabolic equations of Fisher and Kolmogorov types. Zbl 0994.35125
Hetzer, Georg; Shen, Wenxian; Zhu, Shu
2002
On a reaction-diffusion system arising in climatology. Zbl 1024.35017
Hetzer, G.; Tello, L.
2002
Convergence in almost periodic competition diffusion systems. Zbl 0983.35060
Hetzer, Georg; Shen, Wenxian
2001
The number of stationary solutions for a one-dimensional Budyko-type climate model. Zbl 0987.34032
Hetzer, G.
2001
The shift-semiflow of a multi-valued evolution equation from climate modeling. Zbl 1042.37536
Hetzer, Georg
2001
A quasilinear functional reaction-diffusion equation arising in climatology. Zbl 0921.35182
Díaz, J. I.; Hetzer, G.
1998
$$S$$-shapedness for energy balance climate models of Sellers-type. Zbl 0893.76003
Hetzer, Georg
1997
A bifurcation result for Sturm-Liouville problems with a set-valued term. Zbl 0918.34020
Hetzer, Georg
1997
A quasilinear functional reaction-diffusion equation from climate modeling. Zbl 0907.35064
Hetzer, Georg
1997
Almost periodicity enforced by Coulomb friction. Zbl 0838.34016
Deimling, Klaus; Hetzer, Georg; Shen, Wenxian
1996
Analysis of energy balance climate models. Zbl 0848.35055
Hetzer, Georg; Schmidt, Paul G.
1996
A functional reaction-diffusion equation from climate modeling: $$S$$- shapedness of the principal branch of fixed points of the time-1-map. Zbl 0822.35069
Hetzer, Georg
1995
A parameter dependent time-periodic reaction-diffusion equation from climate modeling: $$S$$-shapedness of the principal branch of fixed points of the time-1-map. Zbl 0811.35054
Hetzer, Georg
1994
Convergence to equilibria for a class of reaction-diffusion systems. Zbl 0801.35056
Engler, Hans; Hetzer, Georg
1992
The structure of the principal component for semilinear diffusion equations from energy balance climate models. Zbl 0723.58051
Hetzer, Georg
1990
A global attractor and stationary solutions for reaction-diffusion system arising from climate modeling. Zbl 0709.35055
Hetzer, G.; Schmidt, P. G.
1990
A multiparameter sensitivity analysis of a 2D diffusive climate model. Zbl 0699.76057
Hetzer, Georg; Jarausch, Helmut; Mackens, Wolfgang
1989
Forced periodic oscillations in the climate system via an energy balance model. Zbl 0641.35035
Hetzer, Georg
1987
Double resonance of semilinear operator equations in $$L_ 2$$-spaces. Zbl 0635.47052
Hetzer, Georg; Landesman, E. M.
1987
A spectral characterization of monotonicity properties of normal linear operators with an application to nonlinear telegraph equation. Zbl 0542.47040
Hetzer, G.
1984
On the solvability of a semilinear operator equation at resonance as applied to elliptic boundary value problems in unbounded domains. Zbl 0526.35030
Hetzer, Georg; Landesman, E. M.
1983
On a semilinear operator equation at resonance. Zbl 0458.47047
Hetzer, Georg
1980
A continuation theorem and the variational solvability of quasilinear elliptic boundary value problems at resonance. Zbl 0467.47041
Hetzer, Georg
1980
A note on a paper of Howard Shaw concerning a nonlinear elliptic boundary value problem. Zbl 0377.35028
Hetzer, Georg
1979
A note on periodic solutions of second order systems of nonlinear autonomous differential equations. Zbl 0426.34029
Hetzer, Georg
1979
A degree continuation theorem for a class of compactly perturbed differentiable Fredholm maps of index 0. Zbl 0426.34057
Hetzer, Georg
1979
Alternativ- und Verzweigungsprobleme bei Koinzidenzgleichungen mit Anwendungen auf Randwertprobleme bei neutralen Funktionaldifferential- und elliptischen Differentialgleichungen. Zbl 0418.47037
Hetzer, Georg
1978
Global behavior of bifurcation branches and the essential spectrum. Zbl 0408.47046
Hetzer, Georg; Stallbohm, Volker
1978
Eine Existenzaussage für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0. Zbl 0362.47027
Hetzer, G.; Stallbohm, V.
1977
Bifurcation theorems of Rabinowitz type. Zbl 0367.47038
Hetzer, George
1977
On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance. Zbl 0326.35033
Hetzer, Georg
1976
Coincidence degree and Rabinowitz’s bifurcation theorem. Zbl 0343.47041
Hetzer, G.; Stallbohm, V.
1976
Some remarks on $$\Phi_+$$-operators and on the coincidence degree for a Fredholm equation with noncompact nonlinear perturbations. Zbl 0316.47041
Hetzer, G.
1975
Some applications of the coincidence degree for set - contractions to functional differential equations of neutral type. Zbl 0298.47034
Hetzer, Georg
1975
Sätze vom Banach-Steinhaus Typ für eine Klasse nichtlinearer Operatoren. Zbl 0312.47054
Hetzer, G.
1974
Fixpunktsätze von Browder und Krasnosel’skii für lokalkonvexe Hausdorff-Räume. Zbl 0232.47064
Hetzer, Georg; Reinermann, Jochen; Stallbohm, Volker
1973
Der ”Satz von der Gleichmäßigen Beschränktheit” für eine Klasse nichtlinearer Operatoren. Zbl 0265.47051
Hetzer, Georg
1973
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#### Cited by 210 Authors

 24 Shen, Wenxian 13 Hetzer, Georg 11 Diaz Diaz, Jesus Ildefonso 6 Petryshyn, Walter Wolodymyr 6 Tello, Lourdes 4 Bao, Xiongxiong 4 Li, Wan-Tong 4 Rawal, Nar 3 Bai, Xueli 3 Guan, Hongbo 3 Issa, Tahir Bachar 3 Kong, Liang 3 Madzvamuse, Anotida 3 Mierczyński, Janusz 3 Negreanu, Mihaela 3 Valero, José 3 Wu, Jianhong 3 Xie, Xiaoxia 3 Zhang, Aijun 3 Zhao, Xiao-Qiang 2 Akhmerov, Ramil R. 2 Andres, Jan 2 Barreira, Raquel 2 Bensid, Sabri 2 Cañada Villar, Antonio 2 Cannarsa, Piermarco 2 Chekroun, Mickaël D. 2 Cosner, Chris 2 Erbe, Lynn Harry 2 Fang, Hui 2 Fečkan, Michal 2 Fitzpatrick, Patrick Michael 2 Kamenskiĭ, Mikhaĭl Igor’evich 2 Klika, Václav 2 Krause, Andrew L. 2 Krawcewicz, Wieslaw Z. 2 Landesman, Edward M. 2 Lou, Yuan 2 Ma, Ruyun 2 Mao, Yiping 2 Metzen, Gerhard 2 Milojevic, Petronije S. 2 Potapov, A. S. 2 Sadovskii, Boris Nikolaevich 2 Simsen, Jacson 2 van Gorder, Robert Ashton 2 Vancostenoble, Judith 2 Wang, Jiabing 2 Wang, Yi 2 Welsh, Stewart C. 2 Zhang, Guobao 1 Ali, Ramzan 1 Altmann, Robert 1 Anderson, Jeffrey R. 1 Arcoya, David 1 Badii, Maurizio 1 Badii, Muricio 1 Balibrea, Francisco 1 Bao, Lianzhang 1 Batt, Jürgen 1 Bede, Barnabás 1 Bergé, Benjamin 1 Bermejo, Rodolfo 1 Bersani, Alberto Maria 1 Bialecki, Bernard 1 Calabró, Francesco 1 Cantrell, Robert Stephen 1 Cao, Feng 1 Cappelletti Montano, Mirella 1 Caraballo Garrido, Tomás 1 Carpio, Jaime 1 Casal, Alfonso C. 1 Chang, Jinyong 1 Chen, Xiao 1 Chen, Xingwu 1 Cheng, Cuiping 1 Chueshov, Igor’ Dmitrievich 1 Chung, A. H. 1 Cristofol, Michel 1 Davydovych, Vasyl’ 1 Deng, Keng 1 Ding, Huisheng 1 Ding, Weiwei 1 Dmitrienko, Vladimir Timofeevich 1 do Rosário Grossinho, Maria 1 Dong, Zhihua 1 Du, Zengji 1 Ellis, Meredith A. 1 Erhardt, André 1 Fairweather, Graeme 1 Fang, Chun 1 Feng, Zhaosheng 1 Fernandes, Ryan I. 1 Floridia, Giuseppe 1 Frigon, Marlène 1 Furi, Massimo 1 Gaffney, Eamonn A. 1 Gal, Sorin Gheorghe 1 Garcia, Antônio Ronaldo Gomes 1 Gentile, Cláudia Buttarello ...and 110 more Authors
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#### Cited in 64 Serials

 27 Journal of Mathematical Analysis and Applications 23 Journal of Differential Equations 19 Nonlinear Analysis. Theory, Methods & Applications 10 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Dynamics and Differential Equations 6 Discrete and Continuous Dynamical Systems 5 Proceedings of the American Mathematical Society 5 Nonlinear Analysis. Real World Applications 3 Journal of Soviet Mathematics 3 Transactions of the American Mathematical Society 3 Mathematical and Computer Modelling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Calculus of Variations and Partial Differential Equations 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 2 Mathematical Modelling of Natural Phenomena 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Applications of Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Abstract and Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 SIAM Journal on Applied Dynamical Systems 1 Advances in Difference Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Differential Equations 1 Symmetry 1 Advances in Nonlinear Analysis 1 Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 20 Fields

 108 Partial differential equations (35-XX) 59 Biology and other natural sciences (92-XX) 43 Ordinary differential equations (34-XX) 42 Operator theory (47-XX) 21 Integral equations (45-XX) 19 Dynamical systems and ergodic theory (37-XX) 16 Numerical analysis (65-XX) 16 Geophysics (86-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)