其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；
Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition.
证明过程中主要应用了分析中的压缩映象原理和一些空间的性质，通过构造可计算函数，来把解从一个区间延拓到整个空间。
We mainly apply the contraction principle in analysis and properties of some Spaces. By the computable functions constructed, we extend the solution from the internal to the entire space.
定解问题的衔接条件要求延拓具有连续性。
The definite solutions connective condition asks for the continuation continuity.
将应用叠合度理论的延拓定理建立正周期解存在的充分条件。
Sufficient conditions for the existence of positive periodic solutions are established by applying the continuation theorem of coincidence degree theory.
运用正则化方法和上下解技巧证明了上述问题的古典正解的局部存在性及其可延拓性。
The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem.
运用正则化方法和上下解技巧证明了上述问题的古典正解的局部存在性及其可延拓性。
The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem.
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