
Previous Article
Coupled cell networks: Hopf bifurcation and interior symmetry
 PROC Home
 This Issue

Next Article
Exponential growth in the solution of an affine stochastic differential equation with an average functional and financial market bubbles
Characterisation of the asymptotic behaviour of scalar linear differential equations with respect to a fading stochastic perturbation
1.  Edgeworth Centre for Financial Mathematics, School of Mathematical Sciences, Dublin City University, Glasnevin, Dublin 9, Ireland, Ireland 
2.  The University of the West Indies, Mona Campus, Department of Mathematics, Mona, Kingston 7, Jamaica 
[1] 
Tomás Caraballo, Leonid Shaikhet. Stability of delay evolution equations with stochastic perturbations. Communications on Pure & Applied Analysis, 2014, 13 (5) : 20952113. doi: 10.3934/cpaa.2014.13.2095 
[2] 
Sanling Yuan, Xuehui Ji, Huaiping Zhu. Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 14771498. doi: 10.3934/mbe.2017077 
[3] 
G. Deugoué, T. Tachim Medjo. The Stochastic 3D globally modified NavierStokes equations: Existence, uniqueness and asymptotic behavior. Communications on Pure & Applied Analysis, 2018, 17 (6) : 25932621. doi: 10.3934/cpaa.2018123 
[4] 
PaoLiu Chow. Asymptotic solutions of a nonlinear stochastic beam equation. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 735749. doi: 10.3934/dcdsb.2006.6.735 
[5] 
Yan Wang, Guanggan Chen. Invariant measure of stochastic fractional Burgers equation with degenerate noise on a bounded interval. Communications on Pure & Applied Analysis, 2019, 18 (6) : 31213135. doi: 10.3934/cpaa.2019140 
[6] 
Xiaobin Yao, Qiaozhen Ma, Tingting Liu. Asymptotic behavior for stochastic plate equations with rotational inertia and KelvinVoigt dissipative term on unbounded domains. Discrete & Continuous Dynamical Systems  B, 2019, 24 (4) : 18891917. doi: 10.3934/dcdsb.2018247 
[7] 
Pierre Guiraud, Etienne Tanré. Stability of synchronization under stochastic perturbations in leaky integrate and fire neural networks of finite size. Discrete & Continuous Dynamical Systems  B, 2019, 24 (9) : 51835201. doi: 10.3934/dcdsb.2019056 
[8] 
Guanggan Chen, Jian Zhang. Asymptotic behavior for a stochastic wave equation with dynamical boundary conditions. Discrete & Continuous Dynamical Systems  B, 2012, 17 (5) : 14411453. doi: 10.3934/dcdsb.2012.17.1441 
[9] 
Tomás Caraballo, María J. Garrido–Atienza, Björn Schmalfuss, José Valero. Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 439455. doi: 10.3934/dcdsb.2010.14.439 
[10] 
Jasmina Djordjević, Svetlana Janković. Reflected backward stochastic differential equations with perturbations. Discrete & Continuous Dynamical Systems  A, 2018, 38 (4) : 18331848. doi: 10.3934/dcds.2018075 
[11] 
Philippe Jouan, Said Naciri. Asymptotic stability of uniformly bounded nonlinear switched systems. Mathematical Control & Related Fields, 2013, 3 (3) : 323345. doi: 10.3934/mcrf.2013.3.323 
[12] 
T. W. Leung, Chi Kin Chan, Marvin D. Troutt. A mixed simulated annealinggenetic algorithm approach to the multibuyer multiitem joint replenishment problem: advantages of metaheuristics. Journal of Industrial & Management Optimization, 2008, 4 (1) : 5366. doi: 10.3934/jimo.2008.4.53 
[13] 
Gregory Berkolaiko, Cónall Kelly, Alexandra Rodkina. Sharp pathwise asymptotic stability criteria for planar systems of linear stochastic difference equations. Conference Publications, 2011, 2011 (Special) : 163173. doi: 10.3934/proc.2011.2011.163 
[14] 
Evelyn Buckwar, Girolama Notarangelo. A note on the analysis of asymptotic meansquare stability properties for systems of linear stochastic delay differential equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 15211531. doi: 10.3934/dcdsb.2013.18.1521 
[15] 
Wei Mao, Liangjian Hu, Xuerong Mao. Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the EulerMaruyama approximation. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 587613. doi: 10.3934/dcdsb.2018198 
[16] 
Wenqiang Zhao. Pullback attractors for bispatial continuous random dynamical systems and application to stochastic fractional power dissipative equation on an unbounded domain. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 33953438. doi: 10.3934/dcdsb.2018326 
[17] 
Said Hadd, Rosanna Manzo, Abdelaziz Rhandi. Unbounded perturbations of the generator domain. Discrete & Continuous Dynamical Systems  A, 2015, 35 (2) : 703723. doi: 10.3934/dcds.2015.35.703 
[18] 
D. Blömker, S. MaierPaape, G. Schneider. The stochastic Landau equation as an amplitude equation. Discrete & Continuous Dynamical Systems  B, 2001, 1 (4) : 527541. doi: 10.3934/dcdsb.2001.1.527 
[19] 
Cristina Anton, Alan Yong. Stochastic dynamics and survival analysis of a cell population model with random perturbations. Mathematical Biosciences & Engineering, 2018, 15 (5) : 10771098. doi: 10.3934/mbe.2018048 
[20] 
Paweł Góra, Abraham Boyarsky. Stochastic perturbations and Ulam's method for Wshaped maps. Discrete & Continuous Dynamical Systems  A, 2013, 33 (5) : 19371944. doi: 10.3934/dcds.2013.33.1937 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]