On the existence of nonoscillatory solutions tending to zero at ? for differential equations with positive delays

Oscillatory Behavior of Higher-Order Delay Differential Equations

“…By Theorem 1 in [18], we conclude that the corresponding equation (1.1) also has a positive solution. This contradiction.…”

Oscillation Criteria for Certain Fourth-Order Nonlinear Delay Differential Equations

“…(1.1) using the integral averaging technique due to Philos [16]. We need the class of function H. Let where r 1 , r 2 , p, q and g are rd-continuous functions defined on any time scale T with sup T = ∞.…”

“…Most of the work on this subject, however, has been restricted to firstand second-order equations as well as equations of type (1.1) when α = 1, p(t) = 0 and other higher-order equations. For recent contributions, we refer to [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. It appears that little is known regarding the oscillation of Eq.…”

Oscillatory Behavior of Second Order Nonlinear Differential Equations With a Sublinear Neutral Term

“…In recent years, there has been much research activity concerning the oscillation and nonoscillation of solutions of various differential equations, and we refer the reader to [2,3,4,5,6,7,8,10] for recent references. However, there are few results dealing with the oscillation of second order differential equations with a sublinear neutral term; see [1] as one example.…”