Characterisation of Exponential Convergence to Nonequilibrium Limits for Stochastic Volterra Equations | Zendy

John A. D. Appleby | Zendy; Siobhán Devin | Zendy; David W. Reynolds | Zendy

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Characterisation of Exponential Convergence to Nonequilibrium Limits for Stochastic Volterra Equations

Author(s) -

John A. D. Appleby,

Siobhán Devin,

David W. Reynolds

Publication year - 2008

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2008/473156

Subject(s) - mathematics , limit (mathematics) , convergence (economics) , non equilibrium thermodynamics , exponential function , exponential growth , volterra equations , sense (electronics) , mathematical analysis , nonlinear system , physics , quantum mechanics , economics , economic growth , engineering , electrical engineering

This paper considers necessary and sufficient conditions for the solution of a stochastically and deterministically perturbed Volterra equation to converge exponentially to a nonequilibrium and nontrivial limit. Convergence in an almost sure and pth mean sense is obtained

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