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<p>Nicoletti problems for a partial differential equation of second order in time, whose kernel is trivial, have been studied. The class of quasipolynomials was singled out as a class of unique solvability of the problem, and the differential-symbol method of constructing solutions was indicated. The possibility of finding solutions to problems in the classes of continuously differentiable functions was studied.</p>

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CORRECT NICOLETTI PROBLEMS FOR SOME CLASSES OF PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER IN TIME

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • Zinovii M. Nytrebych,
  • Volodymyr S. Il’kiv

摘要

Nicoletti problems for a partial differential equation of second order in time, whose kernel is trivial, have been studied. The class of quasipolynomials was singled out as a class of unique solvability of the problem, and the differential-symbol method of constructing solutions was indicated. The possibility of finding solutions to problems in the classes of continuously differentiable functions was studied.