Nersesyan, Vahagn Ergodicity for the randomly forced Navier-Stokes system in a two-dimensional unbounded domain. (English) Zbl 07541501 Ann. Henri Poincaré 23, No. 6, 2277-2294 (2022). MSC: 35Q30 37A25 93B05 35B20 35B40 35R60 60H40 PDF BibTeX XML Cite \textit{V. Nersesyan}, Ann. Henri Poincaré 23, No. 6, 2277--2294 (2022; Zbl 07541501) Full Text: DOI OpenURL
Schmittfull, Marcel; Simonović, Marko; Ivanov, Mikhail M.; Philcox, Oliver H. E.; Zaldarriaga, Matias Modeling galaxies in redshift space at the field level. (English) Zbl 1485.83180 J. Cosmol. Astropart. Phys. 2021, No. 5, Paper No. 59, 23 p. (2021). MSC: 83F05 78A45 35B20 83-10 58J47 60H40 83C25 PDF BibTeX XML Cite \textit{M. Schmittfull} et al., J. Cosmol. Astropart. Phys. 2021, No. 5, Paper No. 59, 23 p. (2021; Zbl 1485.83180) Full Text: DOI arXiv OpenURL
Kiouach, Driss; Sabbar, Yassine Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation. (English) Zbl 1476.92045 Int. J. Biomath. 14, No. 4, Article ID 2150016, 26 p. (2021). MSC: 92D30 34F05 34E05 34E10 37A50 60H10 PDF BibTeX XML Cite \textit{D. Kiouach} and \textit{Y. Sabbar}, Int. J. Biomath. 14, No. 4, Article ID 2150016, 26 p. (2021; Zbl 1476.92045) Full Text: DOI arXiv OpenURL
Cui, Hongyong; Kloeden, Peter E. Convergence rate of random attractors for 2D Navier-Stokes equation towards the deterministic singleton attractor. (English) Zbl 1479.35605 Sadovnichiy, Victor A. (ed.) et al., Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. Underst. Complex Syst., 233-255 (2021). MSC: 35Q30 76D05 35B20 35B41 60H40 35R60 PDF BibTeX XML Cite \textit{H. Cui} and \textit{P. E. Kloeden}, in: Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. 233--255 (2021; Zbl 1479.35605) Full Text: DOI OpenURL
Sultanov, O. A. On the almost sure stability of dynamical systems with respect to white noise. (English. Russian original) Zbl 1453.93240 J. Math. Sci., New York 252, No. 2, 242-246 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 120-124 (2018). MSC: 93E15 93D20 34D10 60H40 60H10 PDF BibTeX XML Cite \textit{O. A. Sultanov}, J. Math. Sci., New York 252, No. 2, 242--246 (2021; Zbl 1453.93240); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 120--124 (2018) Full Text: DOI OpenURL
Shaikhet, Leonid Behavior of solution of stochastic delay differential equation with additive fading perturbations. (English) Zbl 1453.34104 Appl. Math. Lett. 111, Article ID 106640, 9 p. (2021). MSC: 34K50 34K27 60J76 PDF BibTeX XML Cite \textit{L. Shaikhet}, Appl. Math. Lett. 111, Article ID 106640, 9 p. (2021; Zbl 1453.34104) Full Text: DOI OpenURL
Ballesteros, Guillermo; Rey, Julián; Taoso, Marco; Urbano, Alfredo Stochastic inflationary dynamics beyond slow-roll and consequences for primordial black hole formation. (English) Zbl 07506340 J. Cosmol. Astropart. Phys. 2020, No. 8, Paper No. 43, 42 p. (2020). MSC: 83E05 83C57 58J65 53C21 47A10 35B20 60H40 81Q20 PDF BibTeX XML Cite \textit{G. Ballesteros} et al., J. Cosmol. Astropart. Phys. 2020, No. 8, Paper No. 43, 42 p. (2020; Zbl 07506340) Full Text: DOI OpenURL
Firstova, Natalia; Shchepakina, Elena Critical phenomena in a dynamical system under random perturbations. (English) Zbl 1447.93339 Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 259-263 (2019). MSC: 93E03 93C73 93C15 60H40 PDF BibTeX XML Cite \textit{N. Firstova} and \textit{E. Shchepakina}, Trends Math., Res. Perspect. CRM Barc. 11, 259--263 (2019; Zbl 1447.93339) Full Text: DOI OpenURL
Sultanov, O. A. Stochastic perturbations of stable dynamical systems: trajectory-wise approach. (English. Russian original) Zbl 1428.93122 J. Math. Sci., New York 241, No. 3, 340-353 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 91-103 (2017). MSC: 93E15 93C73 34D10 60H10 PDF BibTeX XML Cite \textit{O. A. Sultanov}, J. Math. Sci., New York 241, No. 3, 340--353 (2019; Zbl 1428.93122); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 91--103 (2017) Full Text: DOI Link OpenURL
Liu, Meng; Zhu, Yu Stability of a budworm growth model with random perturbations. (English) Zbl 1459.92088 Appl. Math. Lett. 79, 13-19 (2018). MSC: 92D25 34D20 34D10 PDF BibTeX XML Cite \textit{M. Liu} and \textit{Y. Zhu}, Appl. Math. Lett. 79, 13--19 (2018; Zbl 1459.92088) Full Text: DOI OpenURL
Firstova, N. M. White noise effect in the dynamic model of the electrochemical reaction. (Russian. English summary) Zbl 1433.34065 Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 4, 41-47 (2018). MSC: 34C60 78A57 34F05 34E10 34C05 34E17 PDF BibTeX XML Cite \textit{N. M. Firstova}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 4, 41--47 (2018; Zbl 1433.34065) Full Text: DOI MNR OpenURL
Lu, Chun; Chen, Jian; Fan, Xingkui; Zhang, Lei Dynamics and simulations of a stochastic predator-prey model with infinite delay and impulsive perturbations. (English) Zbl 1395.92131 J. Appl. Math. Comput. 57, No. 1-2, 437-465 (2018). MSC: 92D25 60H40 34K45 60H10 PDF BibTeX XML Cite \textit{C. Lu} et al., J. Appl. Math. Comput. 57, No. 1--2, 437--465 (2018; Zbl 1395.92131) Full Text: DOI OpenURL
Bondarev, B. V.; Maiorova, S. A. Averaging in the boundary-value problem for an ordinary second-order differential equation in the case of fast oscillations. (Russian. English summary) Zbl 1473.34043 Tr. Inst. Prikl. Mat. Mekh. 31, 13-22 (2017). MSC: 34F05 70K65 PDF BibTeX XML Cite \textit{B. V. Bondarev} and \textit{S. A. Maiorova}, Tr. Inst. Prikl. Mat. Mekh. 31, 13--22 (2017; Zbl 1473.34043) OpenURL
Sun, Xu; Duan, Jinqiao; Li, Xiaofan Stochastic modeling of nonlinear oscillators under combined Gaussian and Poisson white noise: a viewpoint based on the energy conservation law. (English) Zbl 1354.34109 Nonlinear Dyn. 84, No. 3, 1311-1325 (2016). MSC: 34F05 34C15 34E10 PDF BibTeX XML Cite \textit{X. Sun} et al., Nonlinear Dyn. 84, No. 3, 1311--1325 (2016; Zbl 1354.34109) Full Text: DOI OpenURL
Dragan, Vasile; Aberkane, Samir; Popa, Ioan-Lucian Optimal \(\mathcal H_2\) filtering for periodic linear stochastic systems with multiplicative white noise perturbations and sampled measurements. (English) Zbl 1395.93532 J. Franklin Inst. 352, No. 12, 5985-6010 (2015). MSC: 93E11 93C05 93E03 93C55 93C73 93C57 PDF BibTeX XML Cite \textit{V. Dragan} et al., J. Franklin Inst. 352, No. 12, 5985--6010 (2015; Zbl 1395.93532) Full Text: DOI OpenURL
Liu, Weiyan; Zhu, Weiqiu Lyapunov function method for analyzing stability of quasi-Hamiltonian systems under combined Gaussian and Poisson white noise excitations. (English) Zbl 1348.37023 Nonlinear Dyn. 81, No. 4, 1879-1893 (2015). MSC: 37B25 70H08 70H06 70K65 PDF BibTeX XML Cite \textit{W. Liu} and \textit{W. Zhu}, Nonlinear Dyn. 81, No. 4, 1879--1893 (2015; Zbl 1348.37023) Full Text: DOI OpenURL
Germain, Pierre; Hani, Zaher; Thomann, Laurent On the continuous resonant equation for NLS. II: Statistical study. (English) Zbl 1326.35344 Anal. PDE 8, No. 7, 1733-1756 (2015). MSC: 35Q55 37K05 37L50 35D30 35R06 PDF BibTeX XML Cite \textit{P. Germain} et al., Anal. PDE 8, No. 7, 1733--1756 (2015; Zbl 1326.35344) Full Text: DOI arXiv OpenURL
Nicolaescu, Liviu I. Random smooth functions on compact Riemannian manifolds. (English) Zbl 1350.53022 Albin, Pierre (ed.) et al., Geometric and spectral analysis. CRM workshops on ‘Geometry of eigenvalues and eigenfunctions, June 4–8, 2012’, ‘Manifolds of metrics and probabilistic methods in geometry and analysis’, July 2–6, 2012, ‘Spectral invariants on non-compact and singular spaces’, July 23–27, 2012, Centre de Recherches Mathématiques, Montréal, Canada. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1043-8/pbk; 978-1-4704-2059-8/ebook). Contemporary Mathematics 630. Centre de Recherches Mathématiques Proceedings, 319-335 (2014). MSC: 53B20 57R45 58C40 58D20 58J37 58J50 60B20 60D05 60G15 PDF BibTeX XML Cite \textit{L. I. Nicolaescu}, Contemp. Math. 630, 319--335 (2014; Zbl 1350.53022) Full Text: DOI OpenURL
Kalyakin, L. A. Lyapunov functions in barriers for parabolic equations and in stability problems with respect to “white noise”. (English) Zbl 1330.35193 Russ. J. Math. Phys. 21, No. 4, 472-483 (2014). MSC: 35K15 35B35 60H30 35R60 PDF BibTeX XML Cite \textit{L. A. Kalyakin}, Russ. J. Math. Phys. 21, No. 4, 472--483 (2014; Zbl 1330.35193) Full Text: DOI OpenURL
Jia, Wantao; Zhu, Weiqiu Stochastic averaging of quasi-integrable and non-resonant Hamiltonian systems under combined Gaussian and Poisson white noise excitations. (English) Zbl 1306.70010 Nonlinear Dyn. 76, No. 2, 1271-1289 (2014). MSC: 70H08 70K65 PDF BibTeX XML Cite \textit{W. Jia} and \textit{W. Zhu}, Nonlinear Dyn. 76, No. 2, 1271--1289 (2014; Zbl 1306.70010) Full Text: DOI OpenURL
Deng, Chao; Gao, Hongjun Stability of SVIR system with random perturbations. (English) Zbl 1280.92057 Int. J. Biomath. 5, No. 4, Article ID 1250025, 15 p. (2012). MSC: 92D30 92C60 34C60 34D10 PDF BibTeX XML Cite \textit{C. Deng} and \textit{H. Gao}, Int. J. Biomath. 5, No. 4, Article ID 1250025, 15 p. (2012; Zbl 1280.92057) Full Text: DOI OpenURL
Melnikova, Irina V.; Alekseeva, Uljana A. Quasilinear stochastic Cauchy problem in abstract Colombeau spaces. (English) Zbl 1259.60059 Int. J. Math. Math. Sci. 2012, Article ID 509026, 11 p. (2012). MSC: 60H10 47D06 60J35 60F15 PDF BibTeX XML Cite \textit{I. V. Melnikova} and \textit{U. A. Alekseeva}, Int. J. Math. Math. Sci. 2012, Article ID 509026, 11 p. (2012; Zbl 1259.60059) Full Text: DOI OpenURL
Korenivs’kyj, D. G. Criterions of exponential stability in the mean-square of solutions of some systems of essentially nonlinear differential equations with coefficients perturbed by white noise. (Ukrainian. English summary) Zbl 1249.93129 Zb. Pr. Inst. Mat. NAN Ukr. 8, No. 2, 101-111 (2011). MSC: 93D05 37C75 39B82 37H15 93C73 93D20 PDF BibTeX XML Cite \textit{D. G. Korenivs'kyj}, Zb. Pr. Inst. Mat. NAN Ukr. 8, No. 2, 101--111 (2011; Zbl 1249.93129) OpenURL
Bakhtin, Yuri Noisy heteroclinic networks. (English) Zbl 1231.34100 Probab. Theory Relat. Fields 150, No. 1-2, 1-42 (2011). Reviewer: Andrew Dale (Durban) MSC: 34F05 34C37 60J60 60F17 92B20 34D10 PDF BibTeX XML Cite \textit{Y. Bakhtin}, Probab. Theory Relat. Fields 150, No. 1--2, 1--42 (2011; Zbl 1231.34100) Full Text: DOI arXiv OpenURL
Antonopoulou, Dimitra C.; Karali, Georgia D.; Kossioris, Georgios T. Asymptotics for a generalized Cahn-Hilliard equation with forcing terms. (English) Zbl 1222.35017 Discrete Contin. Dyn. Syst. 30, No. 4, 1037-1054 (2011). MSC: 35B25 35K58 35K35 PDF BibTeX XML Cite \textit{D. C. Antonopoulou} et al., Discrete Contin. Dyn. Syst. 30, No. 4, 1037--1054 (2011; Zbl 1222.35017) Full Text: DOI OpenURL
Glatt-Holtz, Nathan; Ziane, Mohammed Singular perturbation systems with stochastic forcing and the renormalization group method. (English) Zbl 1188.81123 Discrete Contin. Dyn. Syst. 26, No. 4, 1241-1268 (2010). MSC: 81S25 60H10 81T17 35B25 PDF BibTeX XML Cite \textit{N. Glatt-Holtz} and \textit{M. Ziane}, Discrete Contin. Dyn. Syst. 26, No. 4, 1241--1268 (2010; Zbl 1188.81123) Full Text: DOI OpenURL
Chen, L. C.; Zhu, W. Q. Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations. (English) Zbl 1170.70372 Nonlinear Dyn. 56, No. 3, 231-241 (2009). MSC: 70K65 70L05 PDF BibTeX XML Cite \textit{L. C. Chen} and \textit{W. Q. Zhu}, Nonlinear Dyn. 56, No. 3, 231--241 (2009; Zbl 1170.70372) Full Text: DOI OpenURL
Shang, Mei; Guo, Yongxin; Mei, Fengxiang Stability of controlled Hamilton systems excited by Gaussian white noise. (English) Zbl 1174.37355 J. Beijing Inst. Technol. 17, No. 1, 1-4 (2008). MSC: 37J25 93E15 93C73 70H14 PDF BibTeX XML Cite \textit{M. Shang} et al., J. Beijing Inst. Technol. 17, No. 1, 1--4 (2008; Zbl 1174.37355) OpenURL
Maiti, A.; Samanta, G. P. Deterministic and stochastic analysis of a ratio-dependent prey-predator system. (English) Zbl 1132.34037 Int. J. Syst. Sci. 37, No. 12, 817-826 (2006). Reviewer: Henri Schurz (Carbondale) MSC: 34D05 34D10 34F05 60H10 92D25 34C23 34C11 PDF BibTeX XML Cite \textit{A. Maiti} and \textit{G. P. Samanta}, Int. J. Syst. Sci. 37, No. 12, 817--826 (2006; Zbl 1132.34037) Full Text: DOI OpenURL
Korenivs’kij, D. H. Destabilizing effect of random parametric perturbations of the white-noise type in some quasilinear continuous and discrete dynamical systems. (Ukrainian, English) Zbl 1096.37028 Ukr. Mat. Zh. 57, No. 12, 1719-1724 (2005); translation in Ukr. Math. J. 57, No. 12, 2021-2026 (2005). MSC: 37H10 37C75 60H40 34D10 34F05 PDF BibTeX XML Cite \textit{D. H. Korenivs'kij}, Ukr. Mat. Zh. 57, No. 12, 1719--1724 (2005; Zbl 1096.37028); translation in Ukr. Math. J. 57, No. 12, 2021--2026 (2005) Full Text: DOI OpenURL
Burlaj, I. V.; Bondar’, A. I. Regularization method of evaluation of state of controlled systems. (Russian) Zbl 1104.93053 Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki 2005, No. 3, Suppl. 27, 40-48 (2005). Reviewer: Andrei Zemskov (Moskva) MSC: 93E11 93C73 60H40 65J20 PDF BibTeX XML Cite \textit{I. V. Burlaj} and \textit{A. I. Bondar'}, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki 2005, No. 3, 40--48 (2005; Zbl 1104.93053) OpenURL
Dragan, Vasile; Morozan, Teodor The disturbance attenuation problem for a general class of linear stochastic systems. (English) Zbl 1067.93023 Voicu, Mihail (ed.), Advances in automatic control. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7607-X/hbk). Kluwer Int. Ser. Eng. Comput. Sci. 754, 39-53 (2004). Reviewer: Volker Wihstutz (Charlotte) MSC: 93B36 93D15 93C73 15A39 93E15 PDF BibTeX XML Cite \textit{V. Dragan} and \textit{T. Morozan}, Kluwer Int. Ser. Eng. Comput. Sci. 754, 39--53 (2004; Zbl 1067.93023) OpenURL
Giraud, Christophe On a shock front in Burgers turbulence. (English) Zbl 1021.76022 J. Stat. Phys. 111, No. 1-2, 387-402 (2003). MSC: 76F99 76M45 35Q53 PDF BibTeX XML Cite \textit{C. Giraud}, J. Stat. Phys. 111, No. 1--2, 387--402 (2003; Zbl 1021.76022) Full Text: DOI OpenURL
Vadivasova, T. E.; Anishchenko, V. S.; Strelkova, G. I.; Fomin, A. I. Cluster and global synchronization in a quasi-harmonic self-oscillatory chain in the presence of noise. (English) Zbl 1049.37535 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 10, No. 3, 110-124 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 37N99 60H40 65L06 37D45 34C15 PDF BibTeX XML Cite \textit{T. E. Vadivasova} et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 10, No. 3, 110--124 (2002; Zbl 1049.37535) OpenURL
Fischer, Julia Cell mapping for randomly perturbed systems. Robustness analysis of dynamical systems. (English) Zbl 1001.65136 Fortschritt-Berichte VDI. Reihe 18, Mechanik/Bruchmechanik. 273. Düsseldorf: VDI Verlag. München: TU München, vii, 92 p. (2002). Reviewer: Karin Gatermann (London, Ontario) MSC: 65P20 37M25 37C70 37G35 PDF BibTeX XML Cite \textit{J. Fischer}, Cell mapping for randomly perturbed systems. Robustness analysis of dynamical systems. Düsseldorf: VDI Verlag; München: TU München (2002; Zbl 1001.65136) OpenURL
Fannjiang, Albert Time scales in homogenization of periodic flows with vanishing molecular diffusion. (English) Zbl 1013.37045 J. Differ. Equations 179, No. 2, 433-455 (2002). MSC: 37H10 76R50 34F05 35B27 35R60 60H40 60J60 37J40 PDF BibTeX XML Cite \textit{A. Fannjiang}, J. Differ. Equations 179, No. 2, 433--455 (2002; Zbl 1013.37045) Full Text: DOI OpenURL
Kulinich, G. L.; Bernats’ka, Yu. V. On stabilization of energy of a conservative system perturbed by a random “white noise” type process in the Itô form. (English. Ukrainian original) Zbl 0998.60060 Ukr. Math. J. 53, No. 10, 1738-1746 (2001); translation from Ukr. Mat. Zh. 53, No. 10, 1429-1435 (2001). MSC: 60H10 PDF BibTeX XML Cite \textit{G. L. Kulinich} and \textit{Yu. V. Bernats'ka}, Ukr. Mat. Zh. 53, No. 10, 1429--1435 (2001; Zbl 0998.60060); translation from Ukr. Mat. Zh. 53, No. 10, 1429--1435 (2001) Full Text: DOI OpenURL
Kulinich, G. L.; Bernatskaya, Yu. V. On the phase portrait of a harmonic oscillator with friction perturbed by a random process of white noise type. (English. Russian original) Zbl 1002.34049 Math. Notes 68, No. 6, 730-736 (2000); translation from Mat. Zametki 68, No. 6, 862-869 (2000). MSC: 34F05 34C15 PDF BibTeX XML Cite \textit{G. L. Kulinich} and \textit{Yu. V. Bernatskaya}, Math. Notes 68, No. 6, 730--736 (2000; Zbl 1002.34049); translation from Mat. Zametki 68, No. 6, 862--869 (2000) Full Text: DOI OpenURL
Doris, Laetitia; Tenaud, Christian; Ta Phuoc Loc LES of spatially developing 3D compressible mixing layer. (English. Abridged French version) Zbl 0994.76042 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 328, No. 7, 567-573 (2000). MSC: 76F65 76F25 76F50 76M12 PDF BibTeX XML Cite \textit{L. Doris} et al., C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 328, No. 7, 567--573 (2000; Zbl 0994.76042) Full Text: DOI OpenURL
Gökçek, C.; Kabamba, P. T.; Meerkov, S. M. Disturbance rejection in control systems with saturating actuators. (English) Zbl 0971.93058 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1-8, 213-226 (2000). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 93C73 93D21 93B18 93C10 PDF BibTeX XML Cite \textit{C. Gökçek} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1--8, 213--226 (2000; Zbl 0971.93058) Full Text: DOI OpenURL
Kulinich, G. L. Qualitative analysis for influence on harmonic oscillator with friction. (Ukrainian) Zbl 0941.60074 Ukr. Mat. Zh. 49, No. 1, 35-46 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60H10 34D05 34F05 34D10 PDF BibTeX XML Cite \textit{G. L. Kulinich}, Ukr. Mat. Zh. 49, No. 1, 35--46 (1997; Zbl 0941.60074) Full Text: DOI OpenURL
Davies, I. M.; Truman, A.; Zhao, H. Z. Stochastic generalised KPP equations. (English) Zbl 0857.60057 Proc. R. Soc. Edinb., Sect. A 126, No. 5, 957-983 (1996). MSC: 60H15 35R60 PDF BibTeX XML Cite \textit{I. M. Davies} et al., Proc. R. Soc. Edinb., Sect. A, Math. 126, No. 5, 957--983 (1996; Zbl 0857.60057) Full Text: DOI OpenURL
Streit, Ludwig Stochastic differential equations. A pedagogical random walk. (English) Zbl 0924.35204 Vázquez, Luis (ed.) et al., Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems: theory and applications, Madrid, Spain, September 25–30, 1995. Singapore: World Scientific. 87-109 (1996). Reviewer: S.Wedrychowicz (Rzeszów) MSC: 35R60 60H15 PDF BibTeX XML Cite \textit{L. Streit}, in: Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems: theory and applications, Madrid, Spain, September 25--30, 1995. Singapore: World Scientific. 87--109 (1996; Zbl 0924.35204) OpenURL
Wedig, Walter V. Iterative schemes for stability problems with non-singular Fokker-Planck equations. (English) Zbl 0906.70014 Int. J. Non-Linear Mech. 31, No. 5, 707-715 (1996). MSC: 70K20 70-08 70K40 65C05 70L05 PDF BibTeX XML Cite \textit{W. V. Wedig}, Int. J. Non-Linear Mech. 31, No. 5, 707--715 (1996; Zbl 0906.70014) Full Text: DOI OpenURL
Li, Zhonghao; Chen, Changmin; Zhou, Guosheng; Sheng, Dianqing Stability analysis of a solitary wave solution in dispersive linear media. (English) Zbl 0848.35131 Chin. Sci. Bull. 40, No. 22, 1927-1932 (1995). MSC: 35Q60 78A60 PDF BibTeX XML Cite \textit{Z. Li} et al., Chin. Sci. Bull. 40, No. 22, 1927--1932 (1995; Zbl 0848.35131) OpenURL
Mathieu, Pierre Spectra, exit times and long time asymptotics in the zero-white-noise limit. (English) Zbl 0886.60055 Stochastics Stochastics Rep. 55, No. 1-2, 1-20 (1995). MSC: 60H10 60J60 PDF BibTeX XML Cite \textit{P. Mathieu}, Stochastics Stochastics Rep. 55, No. 1--2, 1--20 (1995; Zbl 0886.60055) Full Text: DOI OpenURL
Vatazhin, A. B.; Klimenko, A. Yu. Continuous models of the motion of inertial particles in laminar and turbulent flows based on the Fokker-Planck equations. (English. Russian original) Zbl 0864.76091 Fluid Dyn. 29, No. 2, 178-185 (1994); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1994, No. 2, 27-35 (1994). MSC: 76T99 76F10 PDF BibTeX XML Cite \textit{A. B. Vatazhin} and \textit{A. Yu. Klimenko}, Fluid Dyn. 29, No. 2, 178--185 (1994; Zbl 0864.76091); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1994, No. 2, 27--35 (1994) Full Text: DOI OpenURL
Elshamy, Maged Nonlinear random wave equations. (English) Zbl 0801.73052 J. Math. Phys. 35, No. 4, 1634-1643 (1994). MSC: 74H50 74K05 35R60 35L05 PDF BibTeX XML Cite \textit{M. Elshamy}, J. Math. Phys. 35, No. 4, 1634--1643 (1994; Zbl 0801.73052) Full Text: DOI OpenURL
Kovaleva, A. S. The construction of successive approximations of the perturbation method for systems with random coefficients. (English. Russian original) Zbl 0789.34051 J. Appl. Math. Mech. 55, No. 4, 489-495 (1991); translation from Prikl. Mat. Mekh. 55, No. 4, 612-619 (1991). MSC: 34F05 34A45 34C29 70L05 60H10 PDF BibTeX XML Cite \textit{A. S. Kovaleva}, J. Appl. Math. Mech. 55, No. 4, 1 (1991; Zbl 0789.34051); translation from Prikl. Mat. Mekh. 55, No. 4, 612--619 (1991) Full Text: DOI OpenURL
Bucher, Christian G. Sample stability of multi-degree-of-freedom systems. (English) Zbl 0741.34028 Lyapunov exponents, Proc. Conf., Oberwolfach/Ger. 1990, Lect. Notes Math. 1486, 322-330 (1991). Reviewer: A.Dale (Durban) MSC: 34D10 34F05 70L05 PDF BibTeX XML Cite \textit{C. G. Bucher}, Lect. Notes Math. None, 322--330 (1991; Zbl 0741.34028) OpenURL
Sri Namachchivaya, N.; Pai, M. A.; Doyle, M. Stochastic approach to small disturbance stability in power systems. (English) Zbl 0741.34029 Lyapunov exponents, Proc. Conf., Oberwolfach/Ger. 1990, Lect. Notes Math. 1486, 292-308 (1991). Reviewer: A.Dale (Durban) MSC: 34D10 34F05 34D08 PDF BibTeX XML Cite \textit{N. Sri Namachchivaya} et al., Lect. Notes Math. None, 292--308 (1991; Zbl 0741.34029) OpenURL
Kaertner, Franz X. Analysis of white and \(f^{-\alpha}\) noise in oscillators. (English) Zbl 0731.34030 Int. J. Circuit Theory Appl. 18, No. 5, 485-519 (1990). Reviewer: J.Schmeelk (Richmond) MSC: 34C10 34C15 94Cxx 34E10 PDF BibTeX XML Cite \textit{F. X. Kaertner}, Int. J. Circuit Theory Appl. 18, No. 5, 485--519 (1990; Zbl 0731.34030) Full Text: DOI OpenURL
Nguyen Dinh Cong On Lyapunov exponents and central exponents of linear systems of differential equations with almost periodic coefficients under random perturbations. (English) Zbl 0725.34050 Acta Math. Vietnam. 15, No. 1, 69-73 (1990). Reviewer: M.D.Lax (Long Beach) MSC: 34D08 34C27 34F05 60H10 34D05 34A30 PDF BibTeX XML Cite \textit{Nguyen Dinh Cong}, Acta Math. Vietnam. 15, No. 1, 69--73 (1990; Zbl 0725.34050) OpenURL
Tudor, Constantin Optimal control for an infinite-dimensional periodic problem under white noise perturbations. (English) Zbl 0693.93086 SIAM J. Control Optimization 28, No. 2, 253-264 (1990). MSC: 93E20 49K45 93C05 93E03 PDF BibTeX XML Cite \textit{C. Tudor}, SIAM J. Control Optim. 28, No. 2, 253--264 (1990; Zbl 0693.93086) Full Text: DOI OpenURL
Dragan, V.; Halanay, A.; Morozan, T. Performance estimates in tracking under white-noise perturbations. (English) Zbl 0694.93116 Int. J. Control 50, No. 6, 2269-2283 (1989). MSC: 93E20 93E10 93C05 PDF BibTeX XML Cite \textit{V. Dragan} et al., Int. J. Control 50, No. 6, 2269--2283 (1989; Zbl 0694.93116) Full Text: DOI OpenURL
Freidlin, Mark I. Random perturbations of reaction-diffusion equations: The quasi- deterministic approximation. (English) Zbl 0673.35049 Trans. Am. Math. Soc. 305, No. 2, 665-697 (1988). MSC: 35K55 60H15 35R60 35B20 PDF BibTeX XML Cite \textit{M. I. Freidlin}, Trans. Am. Math. Soc. 305, No. 2, 665--697 (1988; Zbl 0673.35049) Full Text: DOI OpenURL
Teodorovich, Eh. V. Calculation of turbulent viscosity. (English. Russian original) Zbl 0648.76041 Fluid Dyn. 22, No. 4, 517-525 (1987); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1987, No. 4, 29-36 (1987). MSC: 76F99 76M99 PDF BibTeX XML Cite \textit{Eh. V. Teodorovich}, Fluid Dyn. 22, No. 4, 517--525 (1987; Zbl 0648.76041); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1987, No. 4, 29--36 (1987) Full Text: DOI OpenURL
Il’yasov, Ya. Sh. Asymptotic expansion of solutions of nonlinear parabolic equations with small parameter under white noise. (English. Russian original) Zbl 0657.35074 Mosc. Univ. Math. Bull. 41, No. 3, 96-99 (1986); translation from Vestn. Mosk. Univ., Ser. I 1986, No. 3, 101-104 (1986). Reviewer: V.Petruv MSC: 35K60 35R60 35C20 35B25 60H15 PDF BibTeX XML Cite \textit{Ya. Sh. Il'yasov}, Mosc. Univ. Math. Bull. 41, No. 3, 96--99 (1986; Zbl 0657.35074); translation from Vestn. Mosk. Univ., Ser. I 1986, No. 3, 101--104 (1986) OpenURL
Rubanik, V. P. Oscillations of complex quasi-linear systems with delay. (Kolebaniya slozhnykh kvazilinejnykh sistem s zapazdyvaniem). (Russian) Zbl 0608.35001 Minsk: Izdatel’stvo ”Universitetskoe”. 144 p. R. 1.10 (1985). Reviewer: J.Chrastina MSC: 35-02 35R10 35R60 35C20 35R20 35A05 35B30 35B35 35B10 PDF BibTeX XML OpenURL
Nguyen Dong An Solution of the Fokker-Planck-Kolmogorov equation for a perturbed mechanical system with one degree of freedom. (English. Russian original) Zbl 0551.70017 Sov. Appl. Mech. 20, 283-288 (1984); translation from Prikl. Mekh., Kiev 20, No. 3, 87-93 (1984). MSC: 70L05 70K50 PDF BibTeX XML Cite \textit{Nguyen Dong An}, Sov. Appl. Mech. 20, 283--288 (1984; Zbl 0551.70017); translation from Prikl. Mekh., Kiev 20, No. 3, 87--93 (1984) Full Text: DOI OpenURL
Korenevskij, D. G. On the construction of the stochastic Lyapunov functional by the perturbation method. I: Linear dynamical systems with parametric quasi- stationary random perturbations of constant spectral density with constant lag. (Russian) Zbl 0489.34077 Functional-differential and difference equations, Collect. sci. Works, Kiev 1981, 23-34 (1981). MSC: 34K20 34D20 93E15 37-XX PDF BibTeX XML OpenURL
Karmeshu, K.; Jaiswal, N. K. Heavy traffic queue with stochastic arrival and service rates. (English) Zbl 0452.90029 Int. J. Syst. Sci. 12, 615-623 (1981). MSC: 90B22 60K25 PDF BibTeX XML Cite \textit{K. Karmeshu} and \textit{N. K. Jaiswal}, Int. J. Syst. Sci. 12, 615--623 (1981; Zbl 0452.90029) Full Text: DOI OpenURL
Blankenship, G.; Papanicolaou, G. C. Stability and control of stochastic systems with wide-band noise disturbances. I. (English) Zbl 0392.93040 SIAM J. Appl. Math. 34, 437-476 (1978). MSC: 93E15 60J25 60H10 60G10 34F05 34E10 PDF BibTeX XML Cite \textit{G. Blankenship} and \textit{G. C. Papanicolaou}, SIAM J. Appl. Math. 34, 437--476 (1978; Zbl 0392.93040) Full Text: DOI OpenURL