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Eigenvalues and Eigenfunctions of Differential Operators with Involution

  • A. I. Kozhanov,
  • O. I. Bzheumikhova

摘要

We demonstrate that the presence of summands with involution in the argumentin an ordinary differential equation can significantly affect the well-posedness of the Cauchy and other problems.Furthermore, we show that the above effects can influence thewell-posedness of classical boundary value problems for partial differentialequations, particularly in the case of parabolic and pseudoparabolic equations.