时间尺度上变分理论的推广（含δ不定积分）
Generalizing the variational theory on time scales to include the delta indefinite integral
摘要：
证明了时间尺度变分法广义问题的Euler-Lagrange型最优性必要条件，其中Lagrange量不仅依赖于自变量、未知函数及其δ导数，而且依赖于依赖于未知函数的δ不定积分.这类变分问题是欧拉自己考虑的，最近在[Methods Appl. Anal. 15（2008），no. 4，427-435]。我们的结果不仅推广了以前的结果，而且作为特例给出了其他一些有趣的最优性条件。
英文摘要：
We prove necessary optimality conditions of Euler-Lagrange type for generalized problems of the calculus of variations on time scales with a Lagrangian depending not only on the independent variable, an unknown function and its delta derivative, but also on a delta indefinite integral that depends on the unknown function. Such kind of variational problems were considered by Euler himself and have been recently investigated in [Methods Appl. Anal. 15 (2008), no. 4, 427-435]. Our results not only provide a generalization to previous results, but also give some other interesting optimality conditions as special cases.
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