Oscillation of first order delay differential equations with distributed delay

Abstract

In this paper, we obtain some oscillation criteria for the first order delay differential equation with distributed delayBy applying these results, we also establish some integral conditions for oscillation of the higher order delay differential equations.

Tests for the oscillation of autonomous differential equations with bounded aftereffect

“…Фокус внимания исследователей сместился в сторону неавтономных ФДУ, к которым теорема 1 неприменима. Для них естественно ставить задачу получения точных достаточных признаков осцилляции и использовать другие идеи и методы [7][8][9][10][11].…”

Oscillation of differential equations with non-monotone retarded arguments

“…See, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and the references cited therein. The first systematic study for the oscillation of all solutions of equation (E) was made by Myshkis.…”

Oscillations of differential equations with several non-monotone advanced arguments

“…[1] Today there exists an extensive literature on the oscillation theory of advanced type differential equations. See, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and the references cited therein.…”