scientific article

zbMATH Open1211.34099MaRDI QIDQ3074246

John A. D. Appleby

Publication date: 7 February 2011

Full work available at URL: http://www.emis.de/journals/EJQTDE/8/801.html

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zbMATH Keywords

asymptotic stabilityVolterra integro-differential equationsasymptotic constancystochastic Volterra integro-differential equationsalmost sure asymptotic stabilityalmost sure asymptotic convergencealmost sure square integrabilityItô-Volterra integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Stochastic integral equations (60H20)

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On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity

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