Advanced search
Publication Cover
Stochastic Analysis and Applications Volume 24, 2006 - Issue 4
Submit an article Journal homepage
149
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

Almost Sure Asymptotic Stability of Stochastic Volterra Integro-Differential Equations with Fading Perturbations

John A. D. Appleby School of Mathematical Sciences, Dublin City University, Dublin, Ireland
&
Markus Riedle Department of Mathematics, Humboldt-University of Berlin, Berlin, GermanyCorrespondence[email protected]
Pages 813-826 | Received 30 Jan 2006, Accepted 26 Jan 2006, Published online: 21 Sep 2006

Citations (15)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Lichao Feng, Jinde Cao & Lei Liu. (2020) Robust analysis of discrete time noises for stochastic systems and application in neural networks. International Journal of Control 93:12, pages 2908-2921.
Read now
John A.D. Appleby, James P. Gleeson & Alexandra Rodkina. (2009) On asymptotic stability and instability with respect to a fading stochastic perturbation. Applicable Analysis 88:4, pages 579-603.
Read now

Articles from other publishers (13)

Fuke Wu & George Yin. (2022) Fast-slow-coupled stochastic functional differential equations. Journal of Differential Equations 323, pages 1-37.
Crossref
Fawaz E. Alsaadi, Lichao Feng, Madini O. Alassafi, Reem M. Alotaibi, Adil M. Ahmad & Jinde Cao. (2022) Stochastic Robustness of Delayed Discrete Noises for Delay Differential Equations. Mathematics 10:5, pages 743.
Crossref
Guangqiang Lan, Mei Zhao & Siyuan Qi. (2022) Exponential stability of θ-EM method for nonlinear stochastic Volterra integro-differential equations. Applied Numerical Mathematics 172, pages 279-291.
Crossref
Davood Ahmadian & Omid Farkhondeh Rouz. (2020) Exponential mean-square stability of numerical solutions for stochastic delay integro-differential equations with Poisson jump. Journal of Inequalities and Applications 2020:1.
Crossref
Yu Zhang & Longsuo Li. (2018) Analysis of stability for stochastic delay integro-differential equations. Journal of Inequalities and Applications 2018:1.
Crossref
Lichao Feng, Shoumei Li, Zhiyou Liu & Shiqiu Zheng. (2016) Robust stability of a class of stochastic functional differential equations with Markovian switching. Advances in Difference Equations 2016:1.
Crossref
Chunmei Zhang, Wenxue Li & Ke Wang. (2013) Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay. Journal of Applied Mathematics 2013, pages 1-9.
Crossref
Dianli Zhao & Dong Han. (2011) Mean square exponential and non-exponential asymptotic stability of impulsive stochastic Volterra equations. Journal of Inequalities and Applications 2011:1.
Crossref
Niu Yuanling, Zhang Chengjian & Duan Jinqiao. (2011) A delay-dependent stability criterion for nonlinear stochastic delay-integro-differential equations. Acta Mathematica Scientia 31:5, pages 1813-1822.
Crossref
John A.D. Appleby & Markus Riedle. (2010) Stochastic Volterra equations in weighted spaces. Journal of Integral Equations and Applications 22:1.
Crossref
Fuke Wu, Shigeng Hu & Chengming Huang. (2010) Robustness of general decay stability of nonlinear neutral stochastic functional differential equations with infinite delay. Systems & Control Letters 59:3-4, pages 195-202.
Crossref
John A. D. Appleby, Siobhán Devin & David W. Reynolds. (2008) Characterisation of Exponential Convergence to Nonequilibrium Limits for Stochastic Volterra Equations. Journal of Applied Mathematics and Stochastic Analysis 2008, pages 1-27.
Crossref
J.A.D. Appleby, S. Devin & D.W. Reynolds. (2007) Almost sure Convergence of Solutions of Linear Stochastic Volterra Equations to Nonequilibrium Limits. Journal of Integral Equations and Applications 19:4.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.