UNPREDICTABLE SOLUTIONS OF QUASILINEAR SYSTEMS WITH DISCONTINUOUS RIGHTHAND SIDES

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Fen M. O., Fen F.

IV International Conference on Mathematics and its Applications in Science and Engineering , Madrid, İspanya, 12 - 14 Temmuz 2023, ss.76

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Madrid
  • Basıldığı Ülke: İspanya
  • Sayfa Sayıları: ss.76
  • TED Üniversitesi Adresli: Evet

Özet

It is demonstrated that there exists a unique unpredictable solution of a quasilinear system whose righthand side is discontinuous such that it is constructed by means of an unpredictable sequence. The Lipschitz constant of the nonlinear term is required to be sufficiently small to achieve the main result. The stability of the unpredictable solution is investigated.