以下为句子列表：
英文: A blend of local uniqueness and international elements in an integrated thematic curriculum.
中文: 本土精华与国际元素结合的主题整合课程。
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英文: A class of singular nonlinear parabolic equations was considered, after linearing this equations, the corresponding variational problem was obtained, furthermore the existence and uniqueness of weak solution was proved.
中文: 摘要考虑一类奇异非线性抛物方程，通过对其右端线性化，得到一个与之相应的变分问题，进而证明其弱解的存在唯一性。
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英文: A monotone iterative scheme is developed for proving the existence and uniqueness of the periodic solutions of the nonlinear discrete scheme, and the computational algorithms for the periodic solutions are also provided.
中文: 为了证明解的存在唯一性，建立了一个单调迭代算法，该算法也给出了一个求解算法。
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英文: Abstract: The boundary-value problem of an ultra-hyperbolic equation with an integral condition is studied and existence and uniqueness of the solution are proved.
中文: 文摘:本文研究一类超双曲型方程的极限问题，提出并证明了具一积分条件的超双曲型方程的边值问题解的存在性和唯一性。
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英文: Abstract: This paper presents the application of the immovable point principle in proving the existence and uniqueness of the solution to some kinds of differential equation and integral equation, and the method produced by the principle progressive appro
中文: 文摘:本文重点讲述不动点原理在证明几类微分方程和积分方程解的存在性和唯一性方面的重要应用，以及由此产生的方法——逐次逼近法。
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