
Previous Article
Nonlinear boundary value problems with multiple positive solutions
 PROC Home
 This Issue

Next Article
Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays
Stochastic stability of some mechanical systems with a multiplicative white noise
1.  Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga, TN 374032598, United States 
2.  U.S. Military Academy, West Point, NY10996, United States 
[1] 
Boris P. Belinskiy, Peter Caithamer. Energy estimate for the wave equation driven by a fractional Gaussian noise. Conference Publications, 2007, 2007 (Special) : 92101. doi: 10.3934/proc.2007.2007.92 
[2] 
Kexue Li, Jigen Peng, Junxiong Jia. Explosive solutions of parabolic stochastic partial differential equations with lévy noise. Discrete & Continuous Dynamical Systems  A, 2017, 37 (10) : 51055125. doi: 10.3934/dcds.2017221 
[3] 
Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
[4] 
Boris P. Belinskiy, Peter Caithamer. Energy of an elastic mechanical system driven by Gaussian noise white in time. Conference Publications, 2001, 2001 (Special) : 3949. doi: 10.3934/proc.2001.2001.39 
[5] 
Yan Wang, Lei Wang, Yanxiang Zhao, Aimin Song, Yanping Ma. A stochastic model for microbial fermentation process under Gaussian white noise environment. Numerical Algebra, Control & Optimization, 2015, 5 (4) : 381392. doi: 10.3934/naco.2015.5.381 
[6] 
Litan Yan, Xiuwei Yin. Optimal error estimates for fractional stochastic partial differential equation with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 121. doi: 10.3934/dcdsb.2018199 
[7] 
K Najarian. On stochastic stability of dynamic neural models in presence of noise. Conference Publications, 2003, 2003 (Special) : 656663. doi: 10.3934/proc.2003.2003.656 
[8] 
Arnulf Jentzen. Taylor expansions of solutions of stochastic partial differential equations. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 515557. doi: 10.3934/dcdsb.2010.14.515 
[9] 
Tianlong Shen, Jianhua Huang, Caibin Zeng. Time fractional and space nonlocal stochastic boussinesq equations driven by gaussian white noise. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 15231533. doi: 10.3934/dcdsb.2018056 
[10] 
Hongjun Gao, Fei Liang. On the stochastic beam equation driven by a NonGaussian Lévy process. Discrete & Continuous Dynamical Systems  B, 2014, 19 (4) : 10271045. doi: 10.3934/dcdsb.2014.19.1027 
[11] 
Avner Friedman, Harsh Vardhan Jain. A partial differential equation model of metastasized prostatic cancer. Mathematical Biosciences & Engineering, 2013, 10 (3) : 591608. doi: 10.3934/mbe.2013.10.591 
[12] 
David Lipshutz. Exit time asymptotics for small noise stochastic delay differential equations. Discrete & Continuous Dynamical Systems  A, 2018, 38 (6) : 30993138. doi: 10.3934/dcds.2018135 
[13] 
Zhongkai Guo. Invariant foliations for stochastic partial differential equations with dynamic boundary conditions. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 52035219. doi: 10.3934/dcds.2015.35.5203 
[14] 
Nathan GlattHoltz, Roger Temam, Chuntian Wang. Martingale and pathwise solutions to the stochastic ZakharovKuznetsov equation with multiplicative noise. Discrete & Continuous Dynamical Systems  B, 2014, 19 (4) : 10471085. doi: 10.3934/dcdsb.2014.19.1047 
[15] 
Cuilian You, Yangyang Hao. Stability in mean for fuzzy differential equation. Journal of Industrial & Management Optimization, 2017, 13 (5) : 111. doi: 10.3934/jimo.2018099 
[16] 
Tomás Caraballo, José A. Langa, James C. Robinson. Stability and random attractors for a reactiondiffusion equation with multiplicative noise. Discrete & Continuous Dynamical Systems  A, 2000, 6 (4) : 875892. doi: 10.3934/dcds.2000.6.875 
[17] 
Dimitra Antonopoulou, Georgia Karali. A nonlinear partial differential equation for the volume preserving mean curvature flow. Networks & Heterogeneous Media, 2013, 8 (1) : 922. doi: 10.3934/nhm.2013.8.9 
[18] 
Roberto Camassa, PaoHsiung Chiu, Long Lee, W.H. Sheu. A particle method and numerical study of a quasilinear partial differential equation. Communications on Pure & Applied Analysis, 2011, 10 (5) : 15031515. doi: 10.3934/cpaa.2011.10.1503 
[19] 
Frederic Abergel, Remi Tachet. A nonlinear partial integrodifferential equation from mathematical finance. Discrete & Continuous Dynamical Systems  A, 2010, 27 (3) : 907917. doi: 10.3934/dcds.2010.27.907 
[20] 
Tuhin Ghosh, Karthik Iyer. Cloaking for a quasilinear elliptic partial differential equation. Inverse Problems & Imaging, 2018, 12 (2) : 461491. doi: 10.3934/ipi.2018020 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]