Critical length: an alternative approach
Provides a practical tool for researchers working with higher-order differential operators, but the contribution is incremental.
The paper presents a numerical method for determining critical lengths of linear differential operators with constant real coefficients, enabling optimal use of associated kernels. The method is efficient due to its basis in Extended Chebyshev spaces.
We provide a numerical method to determine the critical lengths of linear differential operators with constant real coefficients. The need for such a procedure arises when the orders increase. The interest of this article is clearly on the practical side since knowing the critical lengths permits an optimal use of the associated kernels. The efficiency of the procedure is due to its being based on crucial features of Extended Chebyshev spaces on closed bounded intervals.