Existence of Infinite, Everywhere Discontinuous Spectra of Upper Exponents of Oscillation of Signs, Zeros, and Roots of Third-Order Differential Equations.

Autor: Stash, A. Kh., Artisevich, A. E.
Zdroj: Moscow University Mathematics Bulletin; Oct2023, Vol. 78 Issue 5, p223-229, 7p
Abstrakt: Examples of two linear homogeneous differential equations of the third order are constructed, the spectra of the upper strong exponents of oscillation of signs, zeros, and roots of one of which coincide with the set of rational numbers of the segment and those of the other equation coincide with the set of irrational numbers of the segment augmented with the number zero. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index