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  We consider an optimal control problem on an infinite time interval. The system is linear
  in the control, the cost functional is convex in the control, and the control set is convex and compact.
  We propose a new condition on the behavior of the cost at infinity, which is weaker
  than the previously known conditions, and prove the existence theorem under this condition.
  We consider several special cases and propose a general abstract scheme.

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    Russian original:     Теорема существования в задаче оптимального управления на бесконечном
  интервале времени. -- Мат. заметки, 2005, т.78, № 4, с. 503--518 (c Н.В. Кузькиной)
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