Differential-symbol method for solving the Nicoletti problem for a homogeneous equation with second-order time partial derivatives
DOI:
https://doi.org/10.3842/umzh.v78i3-4.9345Keywords:
диференціально-символьний метод, задача Ніколетті, двоточкові умови, квазіполіномні розв'язкиAbstract
UDC 517.95
The Nicoletti problem is investigated for a homogeneous differential equation with partial time derivatives of the second order and, in general, of the infinite order in the spatial variable. We select classes of quasipolynomial functions in which the solution to the problem exists and is unique. The case where the solution to the Nicoletti problem exists in the spaces of continuously differentiable functions is considered separately. A method for constructing solutions to the problem based on the differential-symbol method is described. We also present examples of solving the problems.
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