Comparison of stochastic Volterra equations

Guillermo Ferreyra; Padamanbhan Sundar

doi:bj/1081194156

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Home > Journals > Bernoulli > Volume 6 > Issue 6 > Article

December 2000 Comparison of stochastic Volterra equations

Guillermo Ferreyra, Padamanbhan Sundar

Author Affiliations +

Guillermo Ferreyra,¹ Padamanbhan Sundar¹
¹Department of Mathematics, Louisiana State University

Bernoulli 6(6): 1001-1006 (December 2000).

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Abstract

A pathwise comparison theorem for a class of one-dimensional stochastic Volterra equations driven by continuous semimartingales is proved under suitable conditions. The result is applied to equations appearing in applications.