Correctness of the Cauchy problem for trinomial higher-order operator differential equations

  • A. Ya. Shklyar

Abstract

Criteria are established for the correctness of the Cauchy problem for the equations $y^{(2n)} + Ay^{(n)} + By = 0, \quad t \in [0, \infty)$ where $n > 1, А, В$ are arbitrary commuting self-adjoint operators in a Hilbert space. For $n = 2$, the criterion is illustrated by the example of the equation describing the dynamics of an exponentially stratified rotating compressible fluid.
Published
25.05.1993
How to Cite
ShklyarA. Y. “Correctness of the Cauchy Problem for Trinomial Higher-Order Operator Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 45, no. 5, May 1993, pp. 704–714, https://umj.imath.kiev.ua/index.php/umj/article/view/5857.
Section
Research articles