Oscillation criteria for second-order superlinear Emden–Fowler neutral differential equations

We study oscillatory behavior of solutions to a class of second-order superlinear Emden–Fowler neutral differential equations. New oscillation theorems are presented and their efficiency is illustrated.

[1]  Tongxing Li,et al.  Oscillation of second-order neutral differential equations , 2015 .

[2]  New criteria for the existence of periodic and almost periodic solutions for some evolution equations in Banach spaces. , 2004 .

[3]  Wan-Tong Li,et al.  Nonoscillation and Oscillation Theory for Functional Differential Equations , 2004 .

[4]  J. Hale Theory of Functional Differential Equations , 1977 .

[5]  J. Wong,et al.  On the Generalized Emden–Fowler Equation , 1975 .

[6]  Qingkai Kong,et al.  Oscillation Theory for Functional Di erential Equations , 1994 .

[7]  Yuri V. Rogovchenko,et al.  Oscillation of second‐order neutral differential equations , 2015 .

[8]  G. Ladas,et al.  Oscillation Theory of Delay Differential Equations: With Applications , 1992 .

[9]  Yuri V. Rogovchenko,et al.  Asymptotic Behavior of Higher-Order Quasilinear Neutral Differential Equations , 2014 .

[10]  I. V. Kamenev,et al.  An integral criterion for oscillation of linear differential equations of second order , 1978 .

[11]  C. Philos,et al.  Oscillation theorems for linear differential equations of second order , 1989 .

[12]  F. V. Atkinson,et al.  On second-order non-linear oscillations , 1955 .

[13]  Blanka Baculíková,et al.  Oscillation theorems for second-order nonlinear neutral differential equations , 2011, Comput. Math. Appl..

[14]  Zhiting Xu On the Oscillation of Second Order Neutral Differential Equations of Emden-Fowler Type , 2007 .

[15]  S. Saker,et al.  Oscillation criteria for second order superlinear neutral delay differential equations , 2004 .

[16]  L. M. Berkovich The Generalized Emden-Fowler Equation , 1997 .

[17]  Blanka Baculíková,et al.  Oscillation theorems for second-order superlinear neutral differential equations , 2013 .

[18]  Ravi P. Agarwal,et al.  Oscillation of second-order Emden–Fowler neutral delay differential equations , 2014 .