Almost Periodic Solutions in Distribution to a Complete Second-Order Neutral Stochastic Differential Equation with Damped Term
Abstract
In this paper, we introduce an innovative class of second-order stochastic
differential equations. We examine fundamental properties such as
the existence, uniqueness of almost periodic solution in distribution
(trajectory distribution). Moreover, to verify these properties, we
propose a new modification of Gronwall's Lemma tailored for this type
of solution. Finally, a meticulously chosen example is presented to
illustrate the effectiveness of our results.
differential equations. We examine fundamental properties such as
the existence, uniqueness of almost periodic solution in distribution
(trajectory distribution). Moreover, to verify these properties, we
propose a new modification of Gronwall's Lemma tailored for this type
of solution. Finally, a meticulously chosen example is presented to
illustrate the effectiveness of our results.
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