On asymptotic behaviour of solutions of stochastic difference equations with volterra type main term |
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| Authors: | Alexandra Rodkina Xuerong Mao Vladimir Kolmanovskii |
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| Institution: | 1. Dept.of Maths/CScience , University of the West Indies , Kingston, Jamaica E-mail: alex@uwimona.edu.jm;2. Dept.of Stat/Model.Science , University of Strathclyde , Glasgow, UK E-mail: xuerong@stams.strath.ac.uk;3. Dept.of Cybernetics , Moscow Technical University of Electronics and Mathematics , Russia E-mail: vlad@ltolm.miemstu.us |
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| Abstract: | The stochastic difference equations with Volterra type linear and nonlinear main term are considered in the paper.Conditions on a.s. boundedness of the solutions,asymptotic stability,exponential stability,and stability with a speed which differs from the exponential,are obtained.A numerous examples are presented. |
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