On one oscillatory criterion for the second order linear ordinary differential equations

Abstract

Abstract. The Riccati equation method is used to establish an oscillatory criterion for second order linear ordinary differential equations. An oscillatory condition is obtained for the generalized Hill's equation. By means of examples the obtained result is compared with some known oscillatory criteria.

A TESOL Practicum in Armenia

“…This equation is oscillatory (see [13], Corollary 3.4). Therefore the last system is oscillatory too.…”

Properties of solutions of matrix Riccati equations

“…In the scalar (n = 1) and the quaternionic cases some properties of t 1 -regular solutions of Eq. (1.1) are studied in [4][5][6][7][8][9] and are used to qualitative study of some linear ordinary differential equations and systems of such equations (see [10][11][12][13][14][15][16]).…”