Existence of nonoscillatory solutions of first-order linear neutral delay differential equations

Global existence and Mann iterative algorithms of positive solutions for first order nonlinear neutral delay differential equations

“…In the past twenty years there has been much research activity concerning the oscillation, nonoscillation, asymptotic behavior and existence of solutions of neutral delay differential equations, for example, see [1][2][3][4][5][6][7][8][9][10][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. Liu and Huang [10] studied the existence and uniqueness of T-periodic solutions for the first order neutral functional differential equation with a deviating argument of the form d dt ½xðtÞ þ pxðt À sÞ ¼ f 1 ðt; xðtÞÞ þ f 2 ðt; xðt À dðtÞÞÞ þ qðtÞ; t P t 0 ;…”

Existence of Nonoscillatory Solutions of Higher-Order Neutral Differential Equations with Distributed Coefficients and Delays

“…was investigated by Zhang et al [2] and, in the same year, Yu and Wang [3] studied nonoscillatory solutions of secondorder nonlinear neutral differential equations of the form…”

Existence of nonoscillatory solutions for system of higher-order neutral differential equations with distributed coefficients and delays

“…Author details 1 College of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, P.R. China.…”