# zbMATH — the first resource for mathematics

## Manthey, Ralf

Compute Distance To:
 Author ID: manthey.ralf Published as: Manthey, R.; Manthey, Ralf; Manthey, Ralph External Links: MGP
 Documents Indexed: 39 Publications since 1982, including 2 Books Reviewing Activity: 69 Reviews
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#### Co-Authors

 19 single-authored 7 Mittmann, Katrin 3 Jetschke, Gottfried 3 Stiewe, Christel 2 Assing, Sigurd 2 Geiss, Christel 2 Maslowski, Bohdan 1 Fichtner, Karl-Heinz 1 Linde, Werner 1 Zausinger, Thomas
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#### Serials

 9 Stochastics and Stochastics Reports 4 Mathematische Nachrichten 3 Stochastic Processes and their Applications 2 Mathematica Bohemica 1 Applied Mathematics and Optimization 1 Stochastic Analysis and Applications 1 Probability Theory and Related Fields 1 Serdica
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#### Fields

 38 Probability theory and stochastic processes (60-XX) 17 Partial differential equations (35-XX) 3 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

21 Publications have been cited 119 times in 93 Documents Cited by Year
Comparison theorems for stochastic differential equations in finite and infinite dimensions. Zbl 0809.60074
Geiß, Christel; Manthey, Ralf
1994
Stochastic evolution equations in $$L_{\rho}^{2\nu}$$. Zbl 0926.60051
Manthey, Ralf; Zausinger, Thomas
1999
The behavior of solutions of stochastic differential inequalities. Zbl 0844.60031
Assing, S.; Manthey, R.
1995
On the Cauchy problem for reaction-diffusion equations with white noise. Zbl 0658.60089
Manthey, Ralf
1988
Qualitative behaviour of solutions of stochastic reaction-diffusion equations. Zbl 0761.60055
Manthey, Ralf; Maslowski, Bohdan
1992
Existence and uniqueness of a solution of a reaction-diffusion equation with polynomial nonlinearity and white noise disturbance. Zbl 0594.60063
Manthey, Ralf
1986
Invariant measures for stochastic heat equations with unbounded coefficients. Zbl 1075.60542
Assing, Sigurd; Manthey, Ralf
2003
Weak convergence of solutions of the heat equation with Gaussian noise. Zbl 0577.60063
Manthey, Ralf
1985
A random continuous model for two interacting populations. Zbl 0992.60063
Manthey, R.; Maslowski, B.
2002
The long-time behaviour of the solutions to semilinear stochastic partial differential equations on the whole space. Zbl 0982.60055
Manthey, Ralf
2001
On the qualitative behaviour of the solution to a stochastic partial functional-differential equation arising in population dynamics. Zbl 0930.60045
Manthey, Ralf; Mittmann, Katrin
1999
Existence and uniqueness of solutions to Volterra’s population equation with diffusion and noise. Zbl 0787.92026
Manthey, Ralf; Stiewe, Christel
1992
Convergence of successive approximation for parabolic partial differential equations with additive white noise. Zbl 0723.65149
Manthey, Ralf
1990
Comparison results for stochastic differential equations. Zbl 0857.60055
Geiss, Christel; Manthey, Ralf
1993
On a class of stochastic functional-differential equations arising in population dynamics. Zbl 0907.60059
Manthey, Ralf; Mittmann, Katrin
1998
The initial value problem for stochastic reaction-diffusion equations with continuous reaction. Zbl 0899.60055
Manthey, Ralf; Mittmann, Katrin
1997
A growth estimate for continuous random fields. Zbl 0879.60039
Manthey, Ralph; Mittman, Katrin
1996
Weak approximation of stochastic equations. Zbl 0786.60079
Fichtner, Karl-Heinz; Manthey, Ralf
1993
On Volterra’s population equation with diffusion and noise. Zbl 0721.60067
Manthey, Ralf; Stiewe, Christel
1991
Weak approximation of a nonlinear stochastic partial differential equation. Zbl 0746.60067
Manthey, Ralf
1991
On the solutions of reaction-diffusion equations with white noise. Zbl 0591.35029
Manthey, Ralf
1985
Invariant measures for stochastic heat equations with unbounded coefficients. Zbl 1075.60542
Assing, Sigurd; Manthey, Ralf
2003
A random continuous model for two interacting populations. Zbl 0992.60063
Manthey, R.; Maslowski, B.
2002
The long-time behaviour of the solutions to semilinear stochastic partial differential equations on the whole space. Zbl 0982.60055
Manthey, Ralf
2001
Stochastic evolution equations in $$L_{\rho}^{2\nu}$$. Zbl 0926.60051
Manthey, Ralf; Zausinger, Thomas
1999
On the qualitative behaviour of the solution to a stochastic partial functional-differential equation arising in population dynamics. Zbl 0930.60045
Manthey, Ralf; Mittmann, Katrin
1999
On a class of stochastic functional-differential equations arising in population dynamics. Zbl 0907.60059
Manthey, Ralf; Mittmann, Katrin
1998
The initial value problem for stochastic reaction-diffusion equations with continuous reaction. Zbl 0899.60055
Manthey, Ralf; Mittmann, Katrin
1997
A growth estimate for continuous random fields. Zbl 0879.60039
Manthey, Ralph; Mittman, Katrin
1996
The behavior of solutions of stochastic differential inequalities. Zbl 0844.60031
Assing, S.; Manthey, R.
1995
Comparison theorems for stochastic differential equations in finite and infinite dimensions. Zbl 0809.60074
Geiß, Christel; Manthey, Ralf
1994
Comparison results for stochastic differential equations. Zbl 0857.60055
Geiss, Christel; Manthey, Ralf
1993
Weak approximation of stochastic equations. Zbl 0786.60079
Fichtner, Karl-Heinz; Manthey, Ralf
1993
Qualitative behaviour of solutions of stochastic reaction-diffusion equations. Zbl 0761.60055
Manthey, Ralf; Maslowski, Bohdan
1992
Existence and uniqueness of solutions to Volterra’s population equation with diffusion and noise. Zbl 0787.92026
Manthey, Ralf; Stiewe, Christel
1992
On Volterra’s population equation with diffusion and noise. Zbl 0721.60067
Manthey, Ralf; Stiewe, Christel
1991
Weak approximation of a nonlinear stochastic partial differential equation. Zbl 0746.60067
Manthey, Ralf
1991
Convergence of successive approximation for parabolic partial differential equations with additive white noise. Zbl 0723.65149
Manthey, Ralf
1990
On the Cauchy problem for reaction-diffusion equations with white noise. Zbl 0658.60089
Manthey, Ralf
1988
Existence and uniqueness of a solution of a reaction-diffusion equation with polynomial nonlinearity and white noise disturbance. Zbl 0594.60063
Manthey, Ralf
1986
Weak convergence of solutions of the heat equation with Gaussian noise. Zbl 0577.60063
Manthey, Ralf
1985
On the solutions of reaction-diffusion equations with white noise. Zbl 0591.35029
Manthey, Ralf
1985
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#### Cited by 130 Authors

 7 Maslowski, Bohdan 6 Manthey, Ralf 4 Assing, Sigurd 4 Halidias, Nikolaos 4 Kloeden, Peter Eris 3 Al-Mulla, Noha A. 3 Da Prato, Giuseppe 3 Nguyen, Dang Hai 3 Nualart, David 3 Stanzhytskyi, Oleksandr M. 3 Zabczyk, Jerzy 2 Asylgareev, Artur Salavatovich 2 Bai, Xiaoming 2 Bergé, Benjamin 2 Chueshov, Igor’ Dmitrievich 2 El-Tawil, Magdy A. 2 Foondun, Mohammud 2 Gątarek, Dariusz 2 Gyöngy, István 2 Hening, Alexandru 2 Jacquot, Sophie 2 Jentzen, Arnulf 2 Jiang, Jifa 2 Joseph, Mathew 2 Khoshnevisan, Davar 2 Luo, Qi 2 Misiats, Oleksandr 2 Pardoux, Etienne 2 Tsukanova, Alisa O. 2 Vuillermot, Pierre-A. 2 Xie, Bin 2 Yin, George Gang 2 Yip, Nung Kwan 2 Zhang, Yutian 2 Zhou, Jianjun 1 Albeverio, Sergio A. 1 Alebraheem, Jawdat 1 Bao, Jundong 1 Barbu, Dorel 1 Barret, Florent 1 Bertacco, Federico 1 Blömker, Dirk 1 Bo, Lijun 1 Bocsan, Gheorghe 1 Brzeźniak, Zdzisław 1 Chen, Mei 1 Chen, Zengjing 1 Chojnowska-Michalik, Anna 1 Deng, Feiqi 1 Dhariwal, Gaurav 1 Ding, Xiaodong 1 Dozzi, Marco E. 1 Duan, Jinqiao 1 El-Beltagy, Mohamed A. 1 Es-Sarhir, Abdelhadi 1 Evans, Steven Neil 1 Flandoli, Franco 1 Geiss, Christel 1 Georgiou, Nicos 1 Goldys, Beniamin 1 Gu, Anhui 1 Guedda, Lahcene 1 Han, Baoyan 1 Hausenblas, Erika 1 Hilbert, Astrid 1 Huang, Xing 1 Jia, Guangyan 1 Jüngel, Ansgar 1 Kondrat’yev, Yuriĭ Grygorovych 1 Kotelenez, Peter M. 1 Kühn, Christian 1 Kulperger, Reg J. 1 Kunze, Markus Christian 1 Lai, Xianghong 1 Lanconelli, Alberto 1 Leha, Gottlieb 1 Levental, Shlomo 1 Li, Shiu-Tang 1 Liu, Kai 1 López-Mimbela, José Alfredo 1 Lu, Kening 1 Luo, Jiaowan 1 Luo, Peng 1 Lv, Guangying 1 Mao, Xuerong 1 Melnik, Sergei A. 1 Michta, Mariusz 1 Mittmann, Katrin 1 Mogilova, Viktoria V. 1 Mohammed, Wael W. 1 Müller-Gronbach, Thomas 1 Nasyrov, F. S. 1 Nguyen, Nhu N. 1 Pasurek, Tatiana 1 Ralph, Peter L. 1 Raynaud de Fitte, Paul 1 Ritter, Gunter 1 Ritter, Klaus 1 Röckner, Michael 1 Saussereau, Bruno ...and 30 more Authors
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#### Cited in 51 Serials

 12 Stochastic Processes and their Applications 7 Stochastic Analysis and Applications 6 Probability Theory and Related Fields 4 Journal of Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Biology 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Statistics & Probability Letters 2 BIT 2 The Annals of Applied Probability 2 Stochastics and Stochastics Reports 2 Discrete and Continuous Dynamical Systems 2 Mathematical Finance 2 Journal of Evolution Equations 2 Journal of Applied Mathematics 2 Stochastics and Dynamics 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 International Journal of Control 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Theoretical Probability 1 Mathematical and Computer Modelling 1 Journal of Applied Mathematics and Stochastic Analysis 1 International Journal of Computer Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Dynamical and Control Systems 1 Differential Equations 1 Journal of Applied Mathematics and Computing 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Science in China. Series F 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Mathematics
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#### Cited in 17 Fields

 83 Probability theory and stochastic processes (60-XX) 37 Partial differential equations (35-XX) 10 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Systems theory; control (93-XX) 4 Operator theory (47-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX)