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<p>The work focuses on averaging for a class of multivalued Dirichlet-Neumann problems. Firstly, we establish an averaging principle for general multivalued stochastic differential equations in the weak sense. Subsequently, we present another averaging principle for general forward-backward multivalued stochastic systems. Finally, we apply these results to investigate the averaging behavior of a class of multivalued Dirichlet-Neumann problems.</p>

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Probabilistic approach to averaging for a type of multivalued Dirichlet-Neumann problems

  • 期刊论文

  • 发表日期：

    2026年1月7日

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  • Huijie Qiao

摘要

The work focuses on averaging for a class of multivalued Dirichlet-Neumann problems. Firstly, we establish an averaging principle for general multivalued stochastic differential equations in the weak sense. Subsequently, we present another averaging principle for general forward-backward multivalued stochastic systems. Finally, we apply these results to investigate the averaging behavior of a class of multivalued Dirichlet-Neumann problems.