Edit Profile Manthey, Ralf Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0809.60074Geiß, Christel; Manthey, Ralf 25 1994 Stochastic evolution equations in \(L_{\rho}^{2\nu}\). Zbl 0926.60051Manthey, Ralf; Zausinger, Thomas 19 1999 The behavior of solutions of stochastic differential inequalities. Zbl 0844.60031Assing, S.; Manthey, R. 12 1995 On the Cauchy problem for reaction-diffusion equations with white noise. Zbl 0658.60089Manthey, Ralf 11 1988 Qualitative behaviour of solutions of stochastic reaction-diffusion equations. Zbl 0761.60055Manthey, Ralf; Maslowski, Bohdan 10 1992 Existence and uniqueness of a solution of a reaction-diffusion equation with polynomial nonlinearity and white noise disturbance. Zbl 0594.60063Manthey, Ralf 8 1986 Invariant measures for stochastic heat equations with unbounded coefficients. Zbl 1075.60542Assing, Sigurd; Manthey, Ralf 5 2003 Weak convergence of solutions of the heat equation with Gaussian noise. Zbl 0577.60063Manthey, Ralf 5 1985 A random continuous model for two interacting populations. Zbl 0992.60063Manthey, R.; Maslowski, B. 3 2002 The long-time behaviour of the solutions to semilinear stochastic partial differential equations on the whole space. Zbl 0982.60055Manthey, Ralf 3 2001 On the qualitative behaviour of the solution to a stochastic partial functional-differential equation arising in population dynamics. Zbl 0930.60045Manthey, Ralf; Mittmann, Katrin 3 1999 Existence and uniqueness of solutions to Volterra’s population equation with diffusion and noise. Zbl 0787.92026Manthey, Ralf; Stiewe, Christel 3 1992 Convergence of successive approximation for parabolic partial differential equations with additive white noise. Zbl 0723.65149Manthey, Ralf 3 1990 Comparison results for stochastic differential equations. Zbl 0857.60055Geiss, Christel; Manthey, Ralf 2 1993 On a class of stochastic functional-differential equations arising in population dynamics. Zbl 0907.60059Manthey, Ralf; Mittmann, Katrin 1 1998 The initial value problem for stochastic reaction-diffusion equations with continuous reaction. Zbl 0899.60055Manthey, Ralf; Mittmann, Katrin 1 1997 A growth estimate for continuous random fields. Zbl 0879.60039Manthey, Ralph; Mittman, Katrin 1 1996 Weak approximation of stochastic equations. Zbl 0786.60079Fichtner, Karl-Heinz; Manthey, Ralf 1 1993 On Volterra’s population equation with diffusion and noise. Zbl 0721.60067Manthey, Ralf; Stiewe, Christel 1 1991 Weak approximation of a nonlinear stochastic partial differential equation. Zbl 0746.60067Manthey, Ralf 1 1991 On the solutions of reaction-diffusion equations with white noise. Zbl 0591.35029Manthey, Ralf 1 1985 Invariant measures for stochastic heat equations with unbounded coefficients. Zbl 1075.60542Assing, Sigurd; Manthey, Ralf 5 2003 A random continuous model for two interacting populations. Zbl 0992.60063Manthey, R.; Maslowski, B. 3 2002 The long-time behaviour of the solutions to semilinear stochastic partial differential equations on the whole space. Zbl 0982.60055Manthey, Ralf 3 2001 Stochastic evolution equations in \(L_{\rho}^{2\nu}\). Zbl 0926.60051Manthey, Ralf; Zausinger, Thomas 19 1999 On the qualitative behaviour of the solution to a stochastic partial functional-differential equation arising in population dynamics. Zbl 0930.60045Manthey, Ralf; Mittmann, Katrin 3 1999 On a class of stochastic functional-differential equations arising in population dynamics. Zbl 0907.60059Manthey, Ralf; Mittmann, Katrin 1 1998 The initial value problem for stochastic reaction-diffusion equations with continuous reaction. Zbl 0899.60055Manthey, Ralf; Mittmann, Katrin 1 1997 A growth estimate for continuous random fields. Zbl 0879.60039Manthey, Ralph; Mittman, Katrin 1 1996 The behavior of solutions of stochastic differential inequalities. Zbl 0844.60031Assing, S.; Manthey, R. 12 1995 Comparison theorems for stochastic differential equations in finite and infinite dimensions. Zbl 0809.60074Geiß, Christel; Manthey, Ralf 25 1994 Comparison results for stochastic differential equations. Zbl 0857.60055Geiss, Christel; Manthey, Ralf 2 1993 Weak approximation of stochastic equations. Zbl 0786.60079Fichtner, Karl-Heinz; Manthey, Ralf 1 1993 Qualitative behaviour of solutions of stochastic reaction-diffusion equations. Zbl 0761.60055Manthey, Ralf; Maslowski, Bohdan 10 1992 Existence and uniqueness of solutions to Volterra’s population equation with diffusion and noise. Zbl 0787.92026Manthey, Ralf; Stiewe, Christel 3 1992 On Volterra’s population equation with diffusion and noise. Zbl 0721.60067Manthey, Ralf; Stiewe, Christel 1 1991 Weak approximation of a nonlinear stochastic partial differential equation. Zbl 0746.60067Manthey, Ralf 1 1991 Convergence of successive approximation for parabolic partial differential equations with additive white noise. Zbl 0723.65149Manthey, Ralf 3 1990 On the Cauchy problem for reaction-diffusion equations with white noise. Zbl 0658.60089Manthey, Ralf 11 1988 Existence and uniqueness of a solution of a reaction-diffusion equation with polynomial nonlinearity and white noise disturbance. Zbl 0594.60063Manthey, Ralf 8 1986 Weak convergence of solutions of the heat equation with Gaussian noise. Zbl 0577.60063Manthey, Ralf 5 1985 On the solutions of reaction-diffusion equations with white noise. Zbl 0591.35029Manthey, Ralf 1 1985 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year