4 citations · 11 across the 13 of their papers we have counts for
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A Short Proof of Stirling's Formula
Hongwei Lou
By changing variables in a suitable way and using dominated convergence methods, this note gives a short proof of Stirling's formula and its refinement.
Optimal Blowup Time for Controlled Ordinary Differential Equations
Hongwei Lou, Weihan Wang
Both the shortest and the longest blowup time for a controlled system are considered. Existence result and maximum principle for optimal triple are established. Thanks to some mono…
Time optimal control problems for some non-smooth systems
Hongwei Lou, Junjie Wen, Yashan Xu
Time optimal control problems for some non-smooth systems in general form are considered. The non-smoothness is caused by singularity. It is proved that Pontryagin's maximum princi…
Sharp Constants for Inequalities of Poincaré Type: An Application of Optimal Control Theory
Hongwei Lou
Sharp constants for an inequality of Poincaré type is studied. The problem is solved by using optimal control theory.