Oscillation of Neutral Differential Equations with Damping Terms

Our interest in this paper is to study and develop oscillation conditions for solutions of a class of neutral differential equations with damping terms. New oscillation criteria were obtained by using Riccati transforms. The criteria we obtained improved and completed some of the criteria in previous studies mentioned in the literature. Examples are provided to illustrate the applicability of our results.

[1]  Chuanzhi Bai,et al.  On the Oscillation Criteria for Fourth-Order p -Laplacian Differential Equations with Middle Term , 2021 .

[2]  Osama Moaaz,et al.  Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory , 2021, Applied Sciences.

[3]  Osama Moaaz,et al.  Some New Oscillation Results for Fourth-Order Neutral Differential Equations with Delay Argument , 2020, Symmetry.

[4]  O. Moaaz,et al.  Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order , 2020, Applied Sciences.

[5]  Ioannis Dassios,et al.  Oscillation Conditions for Certain Fourth-Order Non-Linear Neutral Differential Equation , 2020, Symmetry.

[6]  J. Awrejcewicz,et al.  Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations , 2020, Mathematics.

[7]  O. Moaaz,et al.  Oscillation Theorems for Nonlinear Differential Equations of Fourth-Order , 2020, Mathematics.

[8]  E. Elabbasy,et al.  Oscillation of solutions to fourth-order delay differential equations with middle term , 2019, Open Journal of Mathematical Sciences.

[9]  S. Grace,et al.  On the oscillation of fourth-order delay differential equations , 2019, Advances in Difference Equations.

[10]  I. Jadlovská,et al.  Oscillation theorems for fourth‐order delay differential equations with a negative middle term , 2017 .

[11]  Yuri V. Rogovchenko,et al.  Oscillation criteria for even-order neutral differential equations , 2016, Appl. Math. Lett..

[12]  S. Grace,et al.  Oscillation criteria for nth‐order nonlinear delay differential equations with a middle term , 2016 .

[13]  M. Marini,et al.  Positive solutions of third order damped nonlinear differential equations , 2011 .

[14]  Guangxue Yue,et al.  Almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument , 2010, Comput. Math. Appl..

[15]  M. Kipnis,et al.  A note on explicit stability conditions for autonomous higher order difference equations , 2007 .

[16]  John R. Graef,et al.  A three point boundary value problem for nonlinear fourth order differential equations , 2003 .

[17]  Ravi P. Agarwal,et al.  Oscillation Theory for Difference and Functional Differential Equations , 2000 .

[18]  I. T. Kiguradze,et al.  Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations , 1992 .

[19]  S. Grace,et al.  Oscillation Criteria for Fourth Order Nonlinear Positive Delay Differential Equations with a Middle Term , 2016 .

[20]  Z. Došlá,et al.  Oscillatory solutions of nonlinear fourth order differential equations with a middle term , 2014 .

[21]  Dr. M. G. Worster Methods of Mathematical Physics , 1947, Nature.