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<p>In this paper, we examine a variational problem with delay under the degeneracy of the Weierstrass condition. We obtain necessary conditions of equality and inequality types for strong and weak local minimums. An example demonstrating the effectiveness of the results in this paper is provided.</p>

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NECESSARY CONDITIONS FOR A MINIMUM IN VARIATIONAL PROBLEMS WITH DELAY IN THE PRESENCE OF DEGENERACIES

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • M. J. Mardanov,
  • T. G. Melikov

摘要

In this paper, we examine a variational problem with delay under the degeneracy of the Weierstrass condition. We obtain necessary conditions of equality and inequality types for strong and weak local minimums. An example demonstrating the effectiveness of the results in this paper is provided.