发展系统控制理论中的第一类间断核Volterra方程
Volterra Equations of the First kind with Discontinuous Kernels in the Theory of Evolving Systems Control
摘要：
研究了具有分段光滑核的第一类Volterra积分方程。这种方程出现在演化系统的最优控制理论中。证明了存在性定理。提出了构造这类方程解的参数族近似的方法。参数族的解决方案是建立在一个动力幂渐近。
英文摘要：
The Volterra integral equations of the first kind with piecewise smooth kernel are considered. Such equations appear in the theory of optimal control of the evolving systems. The existence theorems are proved. The method for constructing approximations of parametric families of solutions of such equations is suggested. The parametric family of solutions is constructed in terms of a logarithmic-power asymptotics.
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