考虑非线性阻尼、非线性复原力矩和随机波浪，建立了随机横浪中船舶运动的随机非线性微分方程。
The random nonlinear differential equation of ship's motion is established considering the nonlinear damping, nonlinear recover moment and random waves.
其次，给出了我们的结果对非线性随机积分和微分方程的某些应用。
Next, some applications of our results to nonlinear random integral and differential equations are given.
本文考虑随机波浪及船舶的非线性阻尼、非线性恢复力矩，建立船舶横摇运动的非线性微分方程。
The random waves, non-linear damp and ship non-linear restore moment are taken into consideration and the ship rolling non-linear differential equation is established.
本文利用随机收缩，证明具有随机定义域的非线性随机算子方程组的解的存在与唯一性定理，给出非线性随机积分和微分方程组的某些应用，改进和推广了某些结果。
In this paper, several existence and uniqueness theorems of solutions are proved for the system of nonlinear random operator equations with stochastic domain by using general random contraction.
为了研究随机海浪中船舶航行安全域的构造及生存概率的预报方法，考虑阻尼和复原力矩的非线性及海浪的随机性，建立随机横浪中船舶运动的随机非线性微分方程。
The random nonlinear differential equation of the rolling motion of ships in random beam waves is established considering the nonlinear damping, nonlinear restoring moment, and the random waves.
为了研究随机海浪中船舶航行安全域的构造及生存概率的预报方法，考虑阻尼和复原力矩的非线性及海浪的随机性，建立随机横浪中船舶运动的随机非线性微分方程。
The random nonlinear differential equation of the rolling motion of ships in random beam waves is established considering the nonlinear damping, nonlinear restoring moment, and the random waves.
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