表示出了一类赋准范空间的随机对偶空间,并证明这类赋准范空间之间,几乎处处有界线性算子所组成空间的完备性。
The random dual Spaces of a class of quasi-normed Spaces is given. The completeness of the Spaces having bounded operators all most everywhere has also been proved.
本文引进(JM)型算子的概念,并证明非线性增生算子和(JM)型算子随机方程的解的存在定理。
In this paper the concept of operators of type (JM) is introduced and the existence theorems for nonlinear random operator equations of accretive type and of type (JM) are proved.
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.
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