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The purpose of this paper is to consider the effective dynamic behavior of a class of stochastic weakly damped wave equations with a fast oscillation under the non-Lipschitz condition. We… Click to show full abstract
The purpose of this paper is to consider the effective dynamic behavior of a class of stochastic weakly damped wave equations with a fast oscillation under the non-Lipschitz condition. We show that the slow component converges to the solution of the corresponding average equation. The result presented here extends the existing results from the Lipschitz to non-Lipschitz condition, which is a much weaker condition with a wider range of applications.
Keywords:
damped wave;
class stochastic;
stochastic weakly;
weakly damped;
fast oscillation
Journal Title: Journal of Mathematical Physics
Year Published: 2023
Link to full text (if available)
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Journal Title: Journal of Mathematical Physics
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!