Oscillation criteria for retarded differential equations with a nonlinear damping term

1996 ◽  
Vol 51 (1-2) ◽  
pp. 68-82 ◽  
Author(s):  
S. R. Grace
Keyword(s):  
Differential Equations ◽  
Nonlinear Damping ◽  
Damping Term ◽  
Oscillation Criteria ◽  
Retarded Differential Equations

scholarly journals Amended oscillation criteria for second-order neutral differential equations with damping term

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Osama Moaaz ◽  
George E. Chatzarakis ◽  
Thabet Abdeljawad ◽  
Clemente Cesarano ◽  
Amany Nabih
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Application Area ◽  
Damping Term ◽  
Oscillation Criteria ◽  
Neutral Differential Equations

Abstract The aim of this work is to improve the oscillation results for second-order neutral differential equations with damping term. We consider the noncanonical case which always leads to two independent conditions for oscillation. We are working to improve related results by simplifying the conditions, based on taking a different approach that leads to one condition. Moreover, we obtain different forms of conditions to expand the application area. An example is also given to demonstrate the applicability and strength of the obtained conditions over known ones.

scholarly journals Oscillation theorems for differential equations with a nonlinear damping term

2003 ◽  
Vol 279 (1) ◽  
pp. 121-134 ◽  
Author(s):  
Svitlana P. Rogovchenko ◽  
Yuri V. Rogovchenko
Keyword(s):  
Differential Equations ◽  
Nonlinear Damping ◽  
Damping Term ◽  
Oscillation Theorems

On the oscillation of certain third order nonlinear dynamic equations with a nonlinear damping term

2017 ◽  
Vol 67 (2) ◽  
Author(s):  
Said R. Grace ◽  
John R. Graef ◽  
Ercan Tunç
Keyword(s):  
Nonlinear Dynamic ◽  
Nonlinear Damping ◽  
Dynamic Equations ◽  
Damping Term ◽  
Third Order ◽  
Oscillation Criteria ◽  
Nonlinear Dynamic Equations

AbstractNew oscillation criteria for certain third order nonlinear dynamic equations with a nonlinear damping term are established. Examples to illustrate the results are included.

scholarly journals Oscillation criteria for second-order retarded differential equations

1997 ◽  
Vol 26 (4) ◽  
pp. 1-11 ◽  
Author(s):  
R.P. Agarwal ◽  
Shiow-Ling Shieh ◽  
Cheh-Chih Yeh
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Oscillation Criteria ◽  
Retarded Differential Equations

Oscillation Theorems for Nonlinear Second Order Differential Equations with a Nonlinear Damping Term

1984 ◽  
Vol 15 (6) ◽  
pp. 1082-1093 ◽  
Author(s):  
S. R. Grace ◽  
B. S. Lalli ◽  
C. C. Yeh
Keyword(s):  
Differential Equations ◽  
Nonlinear Damping ◽  
Second Order ◽  
Damping Term ◽  
Second Order Differential Equations ◽  
Oscillation Theorems
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