Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Balder's Existence Theorem for Infinite-Horizon Optimal Control
  Problems   Balder's well-known existence theorem (1983) for infinite-horizon optimal
control problems is extended to the case when the integral functional is
understood as an improper integral. Simultaneously, the condition of strong
uniform integrability (over all admissible controls and trajectories) of the
positive part $\max\{f_0,0\}$ of the utility function (integrand) $f_0$ is
relaxed to the requirement that the integrals of $f_0$ over intervals $[T,T']$
be uniformly bounded from above by a function $\omega(T,T')$ such that
$\omega(T,T')\to 0$ as $T,T'\to\infty$. This requirement was proposed by A.V.
Dmitruk and N.V. Kuz'kina (2005); however, the proof in the present paper does
not follow their scheme but is instead derived in a rather simple way from the
auxiliary results of Balder himself. An illustrative example is also given.

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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: hep-th